Conversion of units refers to conversion factors between different units of measurement A unit of measurement is a definite magnitude of a physical quantity, defined and adopted by convention and/or by law, that is used as a standard for measurement of the same physical quantity. Any other value of the physical quantity can be expressed as a simple multiple of the unit of measurement for the same quantity Quantity is a kind of property which exists as magnitude or multitude. It is among the basic classes of things along with quality, substance, change, and relation. Quantity was first introduced as quantum, an entity having quantity. Being a fundamental term, quantity is used to refer to any type of quantitative properties or attributes of things.
Techniques
Process
The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract In law, a contract is an agreement between two or more parties which, if it contains the elements of a valid legal agreement, is enforceable by law or by binding arbitration. That is to say, a contract is an exchange of promises with specific legal remedies for breach. These can include Compensatory remedy, whereby the defaulting party is required, Technical specifications A specification is an explicit set of requirements to be satisfied by a material, product, or service. Should a material, product or service fail to meet one or more of the applicable specifications, it may be referred to as being out of specification; the abbreviation OOS may also be used or other published standards A technical standard is an established norm or requirement. It is usually a formal document that establishes uniform engineering or technical criteria, methods, processes and practices. In contrast, a custom, convention, company product, corporate standard, etc. which becomes generally accepted and dominant is often called a de facto standard. Engineering judgment may include such factors as:
- The precision and accuracy In the fields of engineering, industry and statistics, the accuracy of a measurement system is the degree of closeness of measurements of a quantity to its actual value. The precision of a measurement system, also called reproducibility or repeatability, is the degree to which repeated measurements under unchanged conditions show the same results of measurement and the associated uncertainty of measurement In metrology, measurement uncertainty describes a region about an observed value of a physical quantity, also called a measurand, which is likely to enclose the true value of that quantity. Assessing and reporting measurement uncertainty is fundamental in engineering and experimental sciences such as physics, and is very important also in
- The statistical confidence interval In statistics, a confidence interval is a particular kind of interval estimate of a population parameter. Instead of estimating the parameter by a single value, an interval likely to include the parameter is given. Thus, confidence intervals are used to indicate the reliability of an estimate. How likely the interval is to contain the parameter is or tolerance interval A tolerance interval is a statistical interval within which, with some confidence, a specified proportion of a population falls. This differs from a confidence interval in that the confidence interval bounds a population parameter with some confidence, while the bounds of a tolerance interval are a range of possible data values that represents a of the initial measurement
- The number of significant figures The significant figures of a number are those digits that carry meaning contributing to its precision (see entry for Accuracy and precision). This includes all digits except: of the measurement
- The intended use of the measurement including the engineering tolerances Dimensions, properties, or conditions may vary within certain practical limits without significantly affecting functioning of equipment or a process. Tolerances are specified to allow reasonable leeway for imperfections and inherent variability without compromising performance
Some conversions from one system of units to another need to be exact, without increasing or decreasing the precision of the first measurement. This is sometimes called soft conversion. It does not involve changing the physical configuration of the item being measured.
By contrast, a hard conversion or an adaptive conversion may not be exactly equivalent. It changes the measurement to convenient and workable numbers and units in the new system. It sometimes involves a slightly different configuration, or size substitution, of the item.
Multiplication Factors
Conversion between units in the metric (SI The International System of Units is the modern form of the metric system and is generally a system of units of measurement devised around seven base units and the convenience of the number ten. It is the world's most widely used system of measurement, both in everyday commerce and in science) system can be discerned by their prefixes (for example, 1 kilogram = 1000 grams, 1 milligram = 0.001 grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10−6 metre). For a full listing of multiplication factors, see SI prefix The International System of Units specifies a set of unit prefixes known as SI prefixes or metric prefixes. An SI prefix is a name that precedes a basic unit of measure to indicate a decimal multiple or fraction of the unit. Each prefix has a unique symbol that is prepended to the unit symbol. The SI prefixes are standardized by the International.
Table Ordering
Within each table, the units are listed alphabetically, and the SI units (base or derived) are highlighted.
Tables of conversion factors
This article gives lists of conversion factors for each of a number of physical quantities, which are listed in the index. For each physical quantity, a number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI The International System of Units is the modern form of the metric system and is generally a system of units of measurement devised around seven base units and the convenience of the number ten. It is the world's most widely used system of measurement, both in everyday commerce and in science unit.
Legend
| Symbol |
Definition |
| ≡ |
exactly equal to |
| ≈ |
approximately equal to |
| digits |
indicates that digits repeat infinitely (e.g. 8.294 369 corresponds to 8.294 369 369 369 369…) |
| (H) |
of chiefly historical interest |
Length
Length In certain contexts, the term "length" is reserved for a certain dimension of an object along which the length is measured. For example it is possible to cut a length of a wire which is shorter than wire thickness. Another example is FET transistors, in which the channel width may be larger than channel length
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| ångström The ångström or angstrom (pronounced /ˈæŋstrəm/; Swedish: [ˈɔŋstrøm]) is an internationally recognized unit of length equal to 0.1 nanometre or 1 × 10−10 metres. It is named after Anders Jonas Ångström. Although accepted for use, it is not formally defined within the International System of Units (SI) |
Å |
≡ 1 × 10−10 m |
≡ 0.1 nm |
| astronomical unit An astronomical unit is a unit of length equal to about 149,597,871 kilometres (92,955,807 miles). It is defined by the International Astronomical Union, and is defined as the mean distance between the Earth and the Sun over one Earth orbit |
AU |
≈ Distance from Earth to Sun |
≈ 149 597 871 464 m [1] |
| barleycorn (H) |
|
= ⅓ in An inch is the name of a unit of length in a number of different systems, including Imperial units, and United States customary units. There are 36 inches in a yard and 12 inches in a foot. A corresponding unit of area is the square inch and a corresponding unit of volume is the cubic inch. The inch is usually the universal unit of measurement in (see note above about rounding) |
≈ 8.46 × 10−3 m |
| bohr, atomic unit of length Atomic units form a system of units convenient for atomic physics, electromagnetism, and quantum electrodynamics, especially when the focus is on the properties of electrons. There are two different kinds of atomic units, which one might name Hartree atomic units and Rydberg atomic units, which differ in the choice of the unit of mass and charge |
a0 |
≡ Bohr radius In the Bohr model of the structure of an atom, put forward by Niels Bohr in 1913, electrons orbit a central nucleus. The model says that the electrons orbit only at certain distances from the nucleus, depending on their energy. In the simplest atom, hydrogen, a single electron orbits, and the smallest possible orbit for the electron, that with the of hydrogen |
≈ 5.291 772 0859 × 10−11 ± 3.6 × 10−20 m [2] |
| cable length (Imperial) |
|
≡ 608 ft A foot is a non-SI unit of length in a number of different systems including English units, Imperial units, and United States customary units. Its size can vary from system to system, but in each is around a quarter to a third of a meter. The most commonly used foot today is the international foot. There are three feet in a yard and 12 inches in a |
≈ 185.3184 m |
| cable length A cable length or cable's length is a nautical unit of measure equal to one tenth of a nautical mile or 100 fathoms, or sometimes 120 fathoms. The unit is named after the length of a ship's anchor cable in the age of sail. The definition varies: (International) |
|
≡ 1/10 nmi The nautical mile is a unit of length corresponding approximately to one minute of arc of latitude along any meridian. By international agreement it is exactly 1,852 metres (approximately 6,076 feet) |
≡ 185.2 m |
| cable length (U.S.) |
|
≡ 720 ft A foot is a non-SI unit of length in a number of different systems including English units, Imperial units, and United States customary units. Its size can vary from system to system, but in each is around a quarter to a third of a meter. The most commonly used foot today is the international foot. There are three feet in a yard and 12 inches in a |
= 219.456 m |
| chain A chain is a unit of length; it measures 66 feet or 22 yards or 4 rods or 100 links . There are 10 chains in a furlong, and 80 chains in one statute mile. An acre is the area of 10 square chains (that is, an area of one chain by one furlong). The chain has been used for several centuries in Britain and in some other countries influenced by British (Gunter's Edmund Gunter , English mathematician, of Welsh descent, was born in Hertfordshire in 1581; Surveyor's) |
ch |
≡ 66 ft A foot is a non-SI unit of length in a number of different systems including English units, Imperial units, and United States customary units. Its size can vary from system to system, but in each is around a quarter to a third of a meter. The most commonly used foot today is the international foot. There are three feet in a yard and 12 inches in a(US) ≡ 4 rods The rod is a unit of length equal to 5.5 yards, 5.0292 metres, 16.5 feet, or 1⁄320 of a statute mile. A rod is the same length as a perch and a pole. The lengths of the perch and chain (four rods) were standardized in 1607 by Edmund Gunter. In old English, the term lug is also used [3] |
≈ 20.116 84 m |
| cubit A cubit is the first recorded unit of length and was one of many different standards of measurement used through history. It was originally based on measuring by comparing to one's forearm length (H) |
|
≡ Distance from fingers to elbow ≈ 18in |
≈ 0.5 m |
| ell Several national forms existed, with different lengths, including the Scottish ell , the Flemish ell (approx. 27 in or 69 cm), the Polish ell (approx. 31 in or 79 cm) and the Danish ell (divided into a length just under 25 inches, approximately 63 cm) (H) |
ell |
≡ 45 in [4] (In England usually) |
= 1.143 m |
| fathom A fathom is a unit of length in the Imperial system , used especially for measuring the depth of water |
fm |
≡ 6 ft [4] |
= 1.8288 m |
| fermi The fermi is a non-SI unit of length that is internationally recognised and equivalent to the SI-recognised femtometre. The symbol for both the fermi and the femtometre is fm. The unit was named in honour of Enrico Fermi and is often encountered in nuclear physics as a characteristic of this scale |
fm |
≡ 1 × 10−15 m [4] |
≡ 1 × 10−15 m |
| finger |
|
≡ 7/8 in |
= 0.022 225 m |
| finger (cloth) |
|
≡ 4½ in |
= 0.1143 m |
| foot A foot is a non-SI unit of length in a number of different systems including English units, Imperial units, and United States customary units. Its size can vary from system to system, but in each is around a quarter to a third of a meter. The most commonly used foot today is the international foot. There are three feet in a yard and 12 inches in a (Benoît) (H) |
ft (Ben) |
|
≈ 0.304 799 735 m |
| foot (Clarke's; Cape) (H) |
ft (Cla) |
|
≈ 0.304 797 2654 m |
| foot (Indian) (H) |
ft Ind |
|
≈ 0.304 799 514 m |
| foot (International) |
ft |
≡ ⅓ yd ≡ 0.3048 m ≡ 12 inches |
≡ 0.3048 m |
| foot (Sear's) (H) |
ft (Sear) |
|
≈ 0.304 799 47 m |
| foot (U.S. Survey) |
ft (US) |
≡ 1200/3937 m [5] |
≈ 0.304 800 610 m |
| french The French scale is commonly used to measure the catheter size(Circumference is in millimeters), in which 1 Fr = 0.33 mm in diameter. In the French Gauge system as it is also known, the diameter in millimeters of the catheter can be determined by dividing the French size by 3, thus an increasing French size corresponds with a larger diameter; charriere |
F |
≡ ⅓ mm |
= 3.3 × 10−4 m |
| furlong A furlong is a measure of distance in imperial units and U.S. customary units. It is equal to one-eighth of an international mile, to 220 yards, and to 660 feet. Since furlongs are not used for precision measurements, there is no need to consider other slightly different conversions |
fur |
≡ 10 chains = 660 ft = 220 yd [4] |
= 201.168 m |
| hand It was originally based on the breadth of a male human hand, and is now standardized at 101.6 millimetres . When used to measure height, it is abbreviated "h" (for "hands") or "hh" ("hands high") |
|
≡ 4 in [4] |
≡ 0.1016 m |
| inch An inch is the name of a unit of length in a number of different systems, including Imperial units, and United States customary units. There are 36 inches in a yard and 12 inches in a foot. A corresponding unit of area is the square inch and a corresponding unit of volume is the cubic inch. The inch is usually the universal unit of measurement in (International) |
in |
≡ 1/36 yd ≡ 1/12 ft |
≡ 0.0254 m |
| league A league is a unit of length . It was long common in Europe and Latin America, but it is no longer an official unit in any nation. The league most frequently refers to the distance a person or a horse can walk in an hour, however, the league has multiple values (land) |
lea |
≡ 3 US Statute miles [3] |
= 4 828.032 m |
| light-day Just as the second forms the basis for other units of time, the light-second can form the basis for other units of length, ranging from the light-nanosecond' to the light-minute, light-hour and light day' that are sometimes used in popular science publications |
|
≡ 24 light-hours |
≡ 2.590 206 837 12 × 1013 m |
| light-hour Just as the second forms the basis for other units of time, the light-second can form the basis for other units of length, ranging from the light-nanosecond to the light-minute, light-hour and light-day, which are sometimes used in popular science publications |
|
≡ 60 light-minutes |
≡ 1.079 252 8488 × 1012 m |
| light-minute A light-second is a unit of length useful in astronomy, telecommunications and relativistic physics. It is defined as the distance that light travels in free space in one second, and is equal to exactly 299 792 458 metres. It is just over 186,000 miles and almost 109 feet |
|
≡ 60 light-seconds |
≡ 1.798 754 748 × 1010 m |
| light-second A light-second is a unit of length useful in astronomy, telecommunications and relativistic physics. It is defined as the distance that light travels in free space in one second, and is equal to exactly 299 792 458 metres. It is just over 186,000 miles and almost 109 feet |
|
≡ Distance light travels in one second in vacuum |
≡ 299 792 458 m |
| light-year A light-year, also light year or lightyear, is a unit of length, equal to just under 10 trillion kilometres (1016 metres or 10 petametres). As defined by the International Astronomical Union (IAU), a light-year is the distance that light travels in a vacuum in one Julian year |
l.y. |
≡ Distance light travels in vacuum in 365.25 days [6] |
= 9.460 730 472 5808 × 1015 m |
| line |
ln |
≡ 1/12 in [7] |
= 0.002 116 m |
| link (Gunter's; Surveyor's) |
lnk |
≡ 1/100 ch [4] ≡ 0.66ft ≡ 7.92in |
= 0.201 168 m |
| link (Ramsden's; Engineer's) |
lnk |
≡ 1 ft [4] |
= 0.3048 m |
| metre The metre , symbol m, is the base unit of length in the International System of Units (SI). Originally intended to be one ten-millionth of the distance from the Earth's equator to the North Pole, its definition has been periodically refined to reflect growing knowledge of metrology. Since 1983, it is defined as the distance travelled by light in a (SI base unit The International System of Units defines seven units of measure as a basic set from which all other SI units are derived. These SI base units and their physical quantities are: ) |
m |
≡ Distance light travels in 1/299 792 458 of a second in vacuum.[8] |
≡ 1 m |
| mickey |
|
≡ 1/200 in |
= 1.27 × 10−4 m |
| micron A micrometre is one millionth of a metre, or equivalently one thousandth of a millimetre or one thousand nanometres. It can also be written in scientific notation as 1×10−6 m, meaning 1⁄1000000 m |
µ |
|
≡ 1 × 10−6 m |
| mil; thou A thou also known as a mil or point, is the verbalized abbreviation for "thousandth(s) of an inch", a unit of length incremented at 0.001 inch |
mil |
≡ 1 × 10−3 in |
≡ 2.54 × 10−5 m |
| mil A mil is a unit of length, usually used to measure geographic distance, fairly common in Norway and Sweden. Today, it measures by definition 10 kilometres, (≈6.2 miles) but earlier in history it had different values (Sweden and Norway) |
mil |
≡ 10 km |
= 10 000 m |
| mile (geographical) The geographical mile is a unit of length determined by 1 minute of arc along the Earth's equator. For the 1924 International Spheriod this equalled 1855.4 metres. Any greater precision depends more on choice of standard than on more careful measurement: the length of the equator in the World Geodetic System WGS-84 is 40,075,016.6856 m which makes (H) |
|
≡ 6082 ft |
= 1 853.7936 m |
| mile A mile is a unit of length in a number of different systems. In contemporary English, a mile most commonly refers to the statute mile of 5,280 feet , the survey mile of 5,280 survey feet (1,609.3472 metres (5,280.01 ft)) or the nautical mile of 1,852 metres (6,076.12 ft). It is about a third of the old measurement, the league (international) |
mi |
≡ 80 chains ≡ 5280 ft ≡ 1760 yd |
≡ 1 609.344 m |
| mile (tactical or data) |
|
≡ 6000 ft |
≡ 1828.8 m |
| mile (telegraph) (H) |
mi |
≡ 6087 ft |
= 1 855.3176 m |
| mile (U.S. Survey) |
mi |
≡ 5280 ft (US Survey feet) ≡ (5280 × 1200/3937) m |
≈ 1 609.347 219 m |
| nail (cloth) |
|
≡ 2¼ in [4] |
= 0.057 15 m |
| nautical league |
NL; nl |
≡ 3 nmi [4] |
= 5556 m |
| nautical mile (Admiralty) |
NM (Adm); nmi (Adm) |
= 6080 ft |
≈ 1853.184 m |
| nautical mile (international) |
NM; nmi |
≡ 1852 m [9] |
≡ 1852 m |
| nautical mile (US pre 1954) |
|
≡ 1853.248 m |
≡ 1853.248 m |
| pace |
|
≡ 2.5 ft [4] |
= 0.762 m |
| palm |
|
≡ 3 in [4] |
= 0.0762 m |
| parsec |
pc |
Distance of star with parallax shift of one arc second from a base of one astronomical unit |
≈ 3.085 677 82 × 1016 ± 6 × 106 m [10] |
| pica |
|
≡ 12 points |
Dependent on point measures. |
| point (American, English) [11][12] |
pt |
≡ 1/72.272 in |
≈ 0.000 351 450 m |
| point (Didot; European) [12][13] |
pt |
≡ 1/12 × 1/72 of pied du roi;
After 1878:
≡ 5/133 cm |
≈ 0.000 375 97 m;
After 1878:
≈ 0.000 375 939 85 m |
| point (PostScript) [11] |
pt |
≡ 1/72 in |
= 0.000 352 7 m |
| point (TeX) [11] |
pt |
≡ 1/72.27 in |
= 0.000 351 4598 m |
| quarter |
|
≡ ¼ yd |
= 0.2286 m |
| rod; pole; perch (H) |
rd |
≡ 16½ ft |
= 5.0292 m |
| rope (H) |
rope |
≡ 20 ft [4] |
= 6.096 m |
| span (H) |
|
≡ 9 in [4] |
= 0.2286 m |
| spat [14] |
|
|
≡ 1 × 1012 m |
| stick (H) |
|
≡ 2 in |
= 0.0508 m |
| stigma; bicron (picometre) |
pm |
|
≡ 1 × 10−12 m |
| twip |
twp |
≡ 1/1440 in |
= 1.7638 × 10−5 m |
| x unit; siegbahn |
xu |
|
≈ 1.0021 × 10−13 m [4] |
| yard (International) |
yd |
≡ 0.9144 m [5] ≡ 3 ft ≡ 36 in |
≡ 0.9144 m |
Area
Area
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| acre (international) |
ac |
≡ 1 ch × 10 ch = 4840 sq yd |
≡ 4 046.856 4224 m2 |
| acre (U. S. survey) |
ac |
≡ 10 sq ch = 4840 sq yd |
≈ 4 046.873 m2 [15] |
| are |
a |
≡ 100 m2 |
= 100 m2 |
| barn |
b |
≡ 10−28 m2 |
= 10−28 m2 |
| barony |
|
≡ 4000 ac |
≈ 1.618 742 × 107 m2 |
| board |
bd |
≡ 1 in × 1 ft |
= 7.741 92 × 10−3 m2 |
| boiler horsepower equivalent direct radiation |
bhp EDR |
≡ (1 ft2) (1 bhp) / (240 BTUIT/h) |
≈ 12.958 174 m2 |
| circular inch |
circ in |
≡ π/4 sq in |
≈ 5.067 075 × 10−4 m2 |
| circular mil; circular thou |
circ mil |
≡ π/4 mil2 |
≈ 5.067 075 × 10−10 m2 |
| cord |
|
≡ 192 bd |
= 1.486 448 64 m2 |
| dunam |
|
≡ 1 000 m2 |
= 1 000 m2 |
| Guntha |
|
≡ 33 ft x 33 ft[citation needed] |
≈ 101.17 m2 |
| hectare |
ha |
≡ 10 000 m2 |
≡ 10 000 m2 |
| hide |
|
≈ 120 ac (variable) |
≈ 5 × 105 m2 |
| rood |
ro |
≡ ¼ ac |
= 1 011.714 1056 m2 |
| section |
|
≡ 1 mi × 1 mi |
= 2.589 988 110 336 × 106 m2 |
| shed |
|
≡ 10−52 m2 |
= 10−52 m2 |
| square (roofing) |
|
≡ 10 ft × 10 ft |
= 9.290 304 m2 |
| square chain (international) |
sq ch |
≡ 66 ft × 66 ft = 1/10 ac |
≡ 404.685 642 24 m2 |
| square chain (U.S. Survey) |
sq ch |
≡ 66 ft(US) × 66 ft(US) = 1/10 ac |
≈ 404.687 3 m2 |
| square foot |
sq ft |
≡ 1 ft × 1 ft |
≡ 9.290 304 × 10−2 m2 |
| square foot (U.S. Survey) |
sq ft |
≡ 1 ft (US) × 1 ft (US) |
≈ 9.290 341 161 327 49 × 10−2 m2 |
| square inch |
sq in |
≡ 1 in × 1 in |
≡ 6.4516 × 10−4 m2 |
| square kilometre |
km2 |
≡ 1 km × 1 km |
= 106 m2 |
| square link (Gunter's)(International) |
sq lnk |
≡ 1 lnk × 1 lnk ≡ 0.66ft × 0.66ft |
= 4.046 856 4224 × 10−2 m2 |
| square link (Gunter's)(US Survey) |
sq lnk |
≡ 1 lnk × 1 lnk ≡ 0.66ft(US) × 0.66ft(US) |
≈ 4.046 872 × 10−2 m2 |
| square link (Ramsden's) |
sq lnk |
≡ 1 lnk × 1 lnk ≡ 1ft × 1ft |
= 0.09290304 m2 |
| square metre (SI unit) |
m2 |
≡ 1 m × 1 m |
= 1 m2 |
| square mil; square thou |
sq mil |
≡ 1 mil × 1 mil |
= 6.4516 × 10−10 m2 |
| square mile |
sq mi |
≡ 1 mi × 1 mi |
= 2.589 988 110 336 × 106 m2 |
| square mile (U.S. Survey) |
sq mi |
≡ 1 mi (US) × 1 mi (US) |
≈ 2.589 998 47 × 106 m2 |
| square rod/pole/perch |
sq rd |
≡ 1 rd × 1 rd |
= 25.292 852 64 m2 |
| square yard (International) |
sq yd |
≡ 1 yd × 1 yd |
≡ 0.836 127 36 m2 |
| stremma |
|
≡ 1 000 m2 |
= 1 000 m2 |
| township |
|
≡ 36 sq mi (US) |
≈ 9.323 994 × 107 m2 |
| yardland |
|
≈ 30 ac |
≈ 1.2 × 105 m2 |
Volume
Volume
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| acre-foot |
ac ft |
≡ 1 ac x 1 ft = 43 560 ft3 |
= 1 233.481 837 547 52 m3 |
| acre-inch |
|
≡ 1 ac × 1 in |
= 102.790 153 128 96 m3 |
| barrel (Imperial) |
bl (Imp) |
≡ 36 gal (Imp) |
= 0.163 659 24 m3 |
| barrel (petroleum) |
bl; bbl |
≡ 42 gal (US) |
= 0.158 987 294 928 m3 |
| barrel (U.S. dry) |
bl (US) |
≡ 105 qt (US) = 105/32 bu (US lvl) |
= 0.115 628 198 985 075 m3 |
| barrel (U.S. fluid) |
fl bl (US) |
≡ 31½ gal (US) |
= 0.119 240 471 196 m3 |
| board-foot |
fbm |
≡ 144 cu in |
≡ 2.359 737 216 × 10−3 m3 |
| bucket (Imperial) |
bkt |
≡ 4 gal (Imp) |
= 0.018 184 36 m3 |
| bushel (Imperial) |
bu (Imp) |
≡ 8 gal (Imp) |
= 0.036 368 72 m3 |
| bushel (U.S. dry heaped) |
bu (US) |
≡ 1 ¼ bu (US lvl) |
= 0.044 048 837 7086 m3 |
| bushel (U.S. dry level) |
bu (US lvl) |
≡ 2 150.42 cu in |
= 0.035 239 070 166 88 m3 |
| butt, pipe |
|
≡ 126 gal (wine) |
= 0.476 961 884 784 m3 |
| coomb |
|
≡ 4 bu (Imp) |
= 0.145 474 88 m3 |
| cord (firewood) |
|
≡ 8 ft × 4 ft × 4 ft |
= 3.624 556 363 776 m3 |
| cord-foot |
|
≡ 16 cu ft |
= 0.453 069 545 472 m3 |
| cubic fathom |
cu fm |
≡ 1 fm × 1 fm × 1 fm |
= 6.116 438 863 872 m3 |
| cubic foot |
cu ft |
≡ 1 ft × 1 ft × 1 ft |
≡ 0.028 316 846 592 m3 |
| cubic inch |
cu in |
≡ 1 in × 1 in × 1 in |
≡ 16.387 064 × 10−6 m3 |
| cubic metre (SI unit) |
m3 |
≡ 1 m × 1 m × 1 m |
≡ 1 m3 |
| cubic mile |
cu mi |
≡ 1 mi × 1 mi × 1 mi |
≡ 4 168 181 825.440 579 584 m3 |
| cubic yard |
cu yd |
≡ 27 cu ft |
≡ 0.764 554 857 984 m3 |
| cup (breakfast) |
|
≡ 10 fl oz (Imp) |
= 284.130 625 × 10−6 m3 |
| cup (Canadian) |
c (CA) |
≡ 8 fl oz (Imp) |
= 227.3045 × 10−6 m3 |
| cup (metric) |
c |
≡ 250.0 × 10−6 m3 |
= 250.0 × 10−6 m3 |
| cup (U.S. customary) |
c (US) |
≡ 8 US fl oz ≡ 1/16 gal (US) |
= 236.588 2365 × 10−6 m3 |
| cup (U.S. food nutrition labeling) |
c (US) |
≡ 240 mL[16] |
= 2.4×10−4 m3 |
| dash (Imperial) |
|
≡ 1/384 gi (Imp) = ½ pinch (Imp) |
= 369.961 751 302 08 3 × 10−9 m3 |
| dash (U.S.) |
|
≡ 1/96 US fl oz = ½ US pinch |
= 308.057 599 609 375 × 10−9 m3 |
| dessertspoon (Imperial) |
|
≡ 1/12 gi (Imp) |
= 11.838 776 0416 × 10−6 m3 |
| drop (Imperial) |
gtt |
≡ 1/288 fl oz (Imp) |
= 98.656 467 013 8 × 10−9 m3 |
| drop (Imperial) (alt) |
gtt |
≡ 1/1 824 gi (Imp) |
≈ 77.886 684 × 10−9 m3 |
| drop (medical) |
|
≡ 1/12 ml |
= 83.03 × 10−9 m3 |
| drop (metric) |
|
≡ 1/20 mL |
= 50.0 × 10−9 m3 |
| drop (U.S.) |
gtt |
≡ 1/360 US fl oz |
= 82.148 693 22916 × 10−9 m3 |
| drop (U.S.) (alt) |
gtt |
≡ 1/456 US fl oz |
≈ 64.854 231 × 10−9 m3 |
| fifth |
|
≡ 1/5 US gal |
= 757.082 3568 × 10−6 m3 |
| firkin |
|
≡ 9 gal (US) |
= 0.034 068 706 056 m3 |
| fluid drachm (Imperial) |
fl dr |
≡ ⅛ fl oz (Imp) |
= 3.551 632 8125 × 10−6 m3 |
| fluid dram (U.S.); U.S. fluidram |
fl dr |
≡ ⅛ US fl oz |
= 3.696 691 195 3125 × 10−6 m3 |
| fluid scruple (Imperial) |
fl s |
≡ 1/24 fl oz (Imp) |
= 1.183 877 60416 × 10−6 m3 |
| gallon (beer) |
beer gal |
≡ 282 cu in |
= 4.621 152 048 × 10−3 m3 |
| gallon (Imperial) |
gal (Imp) |
≡ 4.546 09 L |
≡ 4.546 09 × 10−3 m3 |
| gallon (U.S. dry) |
gal (US) |
≡ ⅛ bu (US lvl) |
= 4.404 883 770 86 × 10−3 m3 |
| gallon (U.S. fluid; Wine) |
gal (US) |
≡ 231 cu in |
≡ 3.785 411 784 × 10−3 m3 |
| gill (Imperial); Noggin |
gi (Imp); nog |
≡ 5 fl oz (Imp) |
= 142.065 3125 × 10−6 m3 |
| gill (U.S.) |
gi (US) |
≡ 4 US fl oz |
= 118.294 118 25 × 10−6 m3 |
| hogshead (Imperial) |
hhd (Imp) |
≡ 2 bl (Imp) |
= 0.327 318 48 m3 |
| hogshead (U.S.) |
hhd (US) |
≡ 2 fl bl (US) |
= 0.238 480 942 392 m3 |
| jigger (bartending) |
|
≡ 1½ US fl oz |
≈ 44.36 × 10−6 m3 |
| kilderkin |
|
≡ 18 gal (Imp) |
= 0.081 829 62 m3 |
| lambda |
λ |
≡ 1 mm3 |
= 1 × 10−9 m3 |
| last |
|
≡ 80 bu (Imp) |
= 2.909 4976 m3 |
| litre |
L |
≡ 1 dm3 [17] |
≡ 0.001 m3 |
| load |
|
≡ 50 cu ft |
= 1.415 842 3296 m3 |
| minim (Imperial) |
min |
≡ 1/480 fl oz (Imp) = 1/60 fl dr (Imp) |
= 59.193 880 208 3 × 10−9 m3 |
| minim (U.S.) |
min |
≡ 1/480 US fl oz = 1/60 US fl dr |
= 61.611 519 921 875 × 10−9 m3 |
| ounce (fluid Imperial) |
fl oz (Imp) |
≡ 1/160 gal (Imp) |
≡ 28.413 0625 × 10−6 m3 |
| ounce (fluid U.S. customary) |
US fl oz |
≡ 1/128 gal (US) |
≡ 29.573 529 5625 × 10−6 m3 |
| ounce (fluid U.S. food nutrition labeling) |
US fl oz |
≡ 30 mL[16] |
≡ 3×10−5 m3 |
| peck (Imperial) |
pk |
≡ 2 gal (Imp) |
= 9.092 18 × 10−3 m3 |
| peck (U.S. dry) |
pk |
≡ ¼ US lvl bu |
= 8.809 767 541 72 × 10−3 m3 |
| perch |
per |
≡ 16½ ft × 1½ ft × 1 ft |
= 0.700 841 953 152 m3 |
| pinch (Imperial) |
|
≡ 1/192 gi (Imp) = ⅛ tsp (Imp) |
= 739.923 502 60416 × 10−9 m3 |
| pinch (U.S.) |
|
≡ 1/48 US fl oz = ⅛ US tsp |
= 616.115 199 218 75 × 10−9 m3 |
| pint (Imperial) |
pt (Imp) |
≡ ⅛ gal (Imp) |
= 568.261 25 × 10−6 m3 |
| pint (U.S. dry) |
pt (US dry) |
≡ 1/64 bu (US lvl) ≡ ⅛ gal (US dry) |
= 550.610 471 3575 × 10−6 m3 |
| pint (U.S. fluid) |
pt (US fl) |
≡ ⅛ gal (US) |
= 473.176 473 × 10−6 m3 |
| pony |
|
≡ 3/4 US fl oz |
= 22.180 147 171 875 × 10−6 m3 |
| pottle; quartern |
|
≡ ½ gal (Imp) = 80 fl oz (Imp) |
= 2.273 045 × 10−3 m3 |
| quart (Imperial) |
qt (Imp) |
≡ ¼ gal (Imp) |
= 1.136 5225 × 10−3 m3 |
| quart (U.S. dry) |
qt (US) |
≡ 1/32 bu (US lvl) = ¼ gal (US dry) |
= 1.101 220 942 715 × 10−3 m3 |
| quart (U.S. fluid) |
qt (US) |
≡ ¼ gal (US fl) |
= 946.352 946 × 10−6 m3 |
| quarter; pail |
|
≡ 8 bu (Imp) |
= 0.290 949 76 m3 |
| register ton |
|
≡ 100 cu ft |
= 2.831 684 6592 m3 |
| sack (Imperial); bag |
|
≡ 3 bu (Imp) |
= 0.109 106 16 m3[citation needed] |
| sack (U.S.) |
|
≡ 3 bu (US lvl) |
= 0.105 717 210 500 64 m3 |
| seam |
|
≡ 8 bu (US lvl) |
= 0.281 912 561 335 04 m3[citation needed] |
| shot |
|
≡ 1 US fl oz |
≈ 29.57 × 10−6 m3 |
| strike (Imperial) |
|
≡ 2 bu (Imp) |
= 0.072 737 44 m3 |
| strike (U.S.) |
|
≡ 2 bu (US lvl) |
= 0.070 478 140 333 76 m3 |
| tablespoon (Canadian) |
tbsp |
≡ ½ fl oz (Imp) |
= 14.206 531 25 × 10−6 m3 |
| tablespoon (Imperial) |
tbsp |
≡ 5/8 fl oz (Imp) |
= 17.758 164 0625 × 10−6 m3 |
| tablespoon (metric) |
|
|
≡ 15.0 × 10−6 m3 |
| tablespoon (U.S. customary) |
tbsp |
≡ ½ US fl oz |
= 14.786 764 7825 × 10−6 m3 |
| tablespoon (U.S. food nutrition labeling) |
tbsp |
≡ 15 mL[16] |
= 1.5×10−5 m3 |
| teaspoon (Canadian) |
tsp |
≡ 1/6 fl oz (Imp) |
= 4.735 510 416 × 10−6 m3 |
| teaspoon (Imperial) |
tsp |
≡ 1/24 gi (Imp) |
= 5.919 388 02083 × 10−6 m3 |
| teaspoon (metric) |
|
≡ 5.0 × 10−6 m3 |
= 5.0 × 10−6 m3 |
| teaspoon (U.S. customary) |
tsp |
≡ 1/6 US fl oz |
= 4.928 921 595 × 10−6 m3 |
| teaspoon (U.S. food nutrition labeling) |
tsp |
≡ 5 mL[16] |
= 5×10−6 m3 |
| timber foot |
|
≡ 1 cu ft |
= 0.028 316 846 592 m3 |
| ton (displacement) |
|
≡ 35 cu ft |
= 0.991 089 630 72 m3 |
| ton (freight) |
|
≡ 40 cu ft |
= 1.132 673 863 68 m3 |
| ton (water) |
|
≡ 28 bu (Imp) |
= 1.018 324 16 m3 |
| tun |
|
≡ 252 gal (wine) |
= 0.953 923 769 568 m3 |
| wey (U.S.) |
|
≡ 40 bu (US lvl) |
= 1.409 562 806 6752 m3 |
Plane angle
Plane angle
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| angular mil |
µ |
≡ 2π/6400 rad |
≈ 0.981 748 × 10−3 rad |
| arcminute |
' |
≡ 1°/60 |
≈ 0.290 888 × 10−3 rad |
| arcsecond |
" |
≡ 1°/3600 |
≈ 4.848 137 × 10−6 rad |
| centesimal minute of arc |
' |
≡ 1 grad/100 |
≈ 0.157 080 × 10−3 rad |
| centesimal second of arc |
" |
≡ 1 grad/(10 000) |
≈ 1.570 796 × 10−6 rad |
| degree (of arc) |
° |
≡ 1/360 of a revolution ≡ π/180 rad |
≈ 17.453 293 × 10−3 rad |
| grad; gradian; gon |
grad |
≡ 1/400 of a revolution ≡ 2π/400 rad ≡ 0.9° |
≈ 15.707 963 × 10−3 rad |
| octant |
|
≡ 45° |
≈ 0.785 398 rad |
| quadrant |
|
≡ 90° |
≈ 1.570 796 rad |
| radian (SI unit) |
rad |
The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians. |
= 1 rad |
| sextant |
|
≡ 60° |
≈ 1.047 198 rad |
| sign |
|
≡ 30° |
≈ 0.523 599 rad |
Solid angle
Solid angle
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| steradian (SI unit) |
sr |
The solid angle subtended at the center of a sphere of radius r by a portion of the surface of the sphere having an area r2. A sphere encompasses 4π sr.[14] |
= 1 sr |
Mass
Notes:
- See Weight for detail of mass/weight distinction and conversion.
- In this table, the unit gee is used to denote standard gravity in order to avoid confusion with the "g" symbol for grams.
- In physics, the pound of mass is sometimes written lbm to distinguish it from the pound-force (lbf). It should not be read as the mongrel unit "pound metre".
Mass
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| atomic mass unit, unified |
u; AMU |
|
≈ 1.660 538 73 × 10−27 ± 1.3 × 10−36 kg |
| atomic unit of mass, electron rest mass |
me |
|
≈ 9.109 382 15 × 10−31 ± 45 × 10−39 kg [18] |
| bag (coffee) |
|
≡ 60 kg |
= 60 kg |
| bag (Portland cement) |
|
≡ 94 lb av |
= 42.637 682 78 kg |
| barge |
|
≡ 22½ sh tn |
= 20 411.656 65 kg |
| carat |
kt |
≡ 3 1/6 gr |
≈ 205.196 548 333 mg |
| carat (metric) |
ct |
≡ 200 mg |
= 200 mg |
| clove |
|
≡ 8 lb av |
= 3.628 738 96 kg |
| crith |
|
|
≈ 89.9349 mg |
| dalton |
Da |
|
≈ 1.660 902 10 × 10−27 ± 1.3 × 10−36 kg |
| dram (apothecary; troy) |
dr t |
≡ 60 gr |
= 3.887 9346 g |
| dram (avoirdupois) |
dr av |
≡ 27 11/32 gr |
= 1.771 845 195 3125 g |
| electronvolt |
eV |
≡ 1 eV (energy unit) / c2 |
= 1.7826 × 10−36 kg |
| gamma |
γ |
≡ 1 μg |
= 1 μg |
| grain |
gr |
≡ 1/7000 lb av |
≡ 64.798 91 mg |
| grave |
G |
grave was the original name of the kilogram |
≡ 1 kg |
| hundredweight (long) |
long cwt or cwt |
≡ 112 lb av |
= 50.802 345 44 kg |
| hundredweight (short); cental |
sh cwt |
≡ 100 lb av |
= 45.359 237 kg |
| hyl (CGS unit) |
|
≡ 1 gee × 1 g × 1 s2/m |
= 9.806 65 g |
| hyl (MKS unit) |
|
≡ 1 gee × 1 kg × 1 s2/m |
= 9.806 65 kg |
| kilogram |
kg |
≡ mass of the prototype near Paris (≈ mass of 1L of water) |
≡ 1 kg (SI base unit)[8] |
| kip |
kip |
≡ 1000 lb av |
= 453.592 37 kg |
| mark |
|
≡ 8 oz t |
= 248.827 8144 g |
| mite |
|
≡ 1/20 gr |
= 3.239 9455 mg |
| mite (metric) |
|
≡ 1/20 g |
= 50 mg |
| ounce (apothecary; troy) |
oz t |
≡ 1/12 lb t |
= 31.103 4768 g |
| ounce (avoirdupois) |
oz av |
≡ 1/16 lb |
= 28.349 523 125 g |
| ounce (U.S. food nutrition labeling) |
oz |
≡ 28 g[16] |
= 28 g |
| pennyweight |
dwt; pwt |
≡ 1/20 oz t |
= 1.555 173 84 g |
| point |
|
≡ 1/100 ct |
= 2 mg |
| pound (avoirdupois) |
lb av |
≡ 0.453 592 37 kg = 7000 grains |
≡ 0.453 592 37 kg |
| pound (metric) |
|
≡ 500 g |
= 500 g |
| pound (troy) |
lb t |
≡ 5 760 grains |
= 0.373 241 7216 kg |
| quarter (Imperial) |
|
≡ 1/4 long cwt = 2 st = 28 lb av |
= 12.700 586 36 kg |
| quarter (informal) |
|
≡ ¼ short tn |
= 226.796 185 kg |
| quarter, long (informal) |
|
≡ ¼ long tn |
= 254.011 7272 kg |
| quintal (metric) |
q |
≡ 100 kg |
= 100 kg |
| scruple (apothecary) |
s ap |
≡ 20 gr |
= 1.295 9782 g |
| sheet |
|
≡ 1/700 lb av |
= 647.9891 mg |
| slug; geepound |
slug |
≡ 1 gee × 1 lb av × 1 s2/ft |
≈ 14.593 903 kg |
| stone |
st |
≡ 14 lb av |
= 6.350 293 18 kg |
| ton, assay (long) |
AT |
≡ 1 mg × 1 long tn ÷ 1 oz t |
≈ 32.666 667 g |
| ton, assay (short) |
AT |
≡ 1 mg × 1 sh tn ÷ 1 oz t |
≈ 29.166 667 g |
| ton, long |
long tn or ton |
≡ 2 240 lb |
= 1 016.046 9088 kg |
| ton, short |
sh tn |
≡ 2 000 lb |
= 907.184 74 kg |
| tonne (mts unit) |
t |
≡ 1 000 kg |
= 1 000 kg |
| wey |
|
≡ 252 lb = 18 st |
= 114.305 277 24 kg (variants exist) |
| Zentner |
Ztr. |
Definitions vary; see [19] and.[14] |
|
Density
Density
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| gram per millilitre |
g/mL |
≡ g/mL |
= 1,000 kg/m3 |
| kilogram per cubic metre (SI unit) |
kg/m3 |
≡ kg/m3 |
= 1 kg/m3 |
| kilogram per litre |
kg/L |
≡ kg/L |
= 1,000 kg/m3 |
| ounce (avoirdupois) per cubic foot |
oz/ft3 |
≡ oz/ft3 |
≈ 1.001153961 kg/m3 |
| ounce (avoirdupois) per cubic inch |
oz/in3 |
≡ oz/in3 |
≈ 1.729994044×103 kg/m3 |
| ounce (avoirdupois) per gallon (Imperial) |
oz/gal |
≡ oz/gal |
≈ 6.236023291 kg/m3 |
| ounce (avoirdupois) per gallon (U.S. fluid) |
oz/gal |
≡ oz/gal |
≈ 7.489151707 kg/m3 |
| pound (avoirdupois) per cubic foot |
lb/ft3 |
≡ lb/ft3 |
≈ 16.01846337 kg/m3 |
| pound (avoirdupois) per cubic inch |
lb/in3 |
≡ lb/in3 |
≈ 2.767990471×104 kg/m3 |
| pound (avoirdupois) per gallon (Imperial) |
lb/gal |
≡ lb/gal |
≈ 99.77637266 kg/m3 |
| pound (avoirdupois) per gallon (U.S. fluid) |
lb/gal |
≡ lb/gal |
≈ 119.8264273 kg/m3 |
| slug per cubic foot |
slug/ft3 |
≡ slug/ft3 |
≈ 515.3788184 kg/m3 |
Time
Time, t
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| atomic unit of time |
au |
≡ a0/(α·c) |
≈ 2.418 884 254 × 10−17 s |
| Callippic cycle |
|
≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d |
= 2.398 3776 × 109 s |
| century |
|
≡ 100 a (see below for definition of year length) |
= 100 × year |
| day |
d |
= 24 h |
= 86400 s |
| day (sidereal) |
d |
≡ Time needed for the Earth to rotate once around its axis, determined from successive transits of a very distant astronomical object across an observer's meridian (International Celestial Reference Frame) |
≈ 86 164.1 s |
| decade |
|
≡ 10 a (see below for definition of year length) |
= 10 × year |
| fortnight |
|
≡ 2 wk |
= 1 209 600 s |
| helek |
|
≡ 1/1 080 h |
= 3.3 s |
| Hipparchic cycle |
|
≡ 4 Callippic cycles - 1 d |
= 9.593 424 × 109 s |
| hour |
h |
≡ 60 min |
= 3 600 s |
| jiffy |
|
≡ 1/60 s |
= .016 s |
| jiffy (alternate) |
|
≡ 1/100 s |
= 10 ms |
| ke (quarter of an hour) |
|
≡ ¼ h = 1/96 d |
= 60 × 60 / 4 s = 900 s = 60 / 4 min = 15 min |
| ke (traditional) |
|
≡ 1/100 d |
= 24 × 60 × 60 / 100 s = 864 s = 24 * 60 / 100 min = 14.4 min |
| lustre; lustrum |
|
≡ 5 a of 365 d |
= 1.5768 × 108 s |
| Metonic cycle; enneadecaeteris |
|
≡ 110 mo (hollow) + 125 mo (full) = 6940 d ≈ 19 a |
= 5.996 16 × 108 s |
| millennium |
|
≡ 1 000 a (see below for definition of year length) |
= 1000 × year |
| milliday |
md |
≡ 1/1 000 d |
= 24 × 60 × 60 / 1 000 s = 86.4 s |
| minute |
min |
≡ 60 s |
= 60 s |
| moment |
|
≡ 90 s |
= 90 s |
| month (full) |
mo |
≡ 30 d[20] |
= 2 592 000 s |
| month (Greg. av.) |
mo |
Average Gregorian month = 365.2425/12 d = 30.436875 d |
≈ 2.6297 × 106 s |
| month (hollow) |
mo |
≡ 29 d[20] |
= 2 505 600 s |
| month (synodic) |
mo |
Cycle time of moon phases ≈ 29.530589 days (Average) |
≈ 2.551 × 106 s |
| octaeteris |
|
= 48 mo (full) + 48 mo (hollow) + 3 mo (full)[21][22] = 8 a of 365.25 d = 2922 d |
= 2.524 608 × 108 s |
| Planck time |
|
≡ (G
ℏ/c5)½ |
≈ 1.351 211 868 × 10−43 s |
| second |
s |
time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 K[8] (but other seconds are sometimes used in astronomy) |
(SI base unit) |
| shake |
|
≡ 10−8 s |
= 10 ns |
| sigma |
|
≡ 10−6 s |
= 1 μs |
| Sothic cycle |
|
≡ 1 461 a of 365 d |
= 4.607 4096 × 1010 s |
| svedberg |
S |
≡ 10−13 s |
= 100 fs |
| week |
wk |
≡ 7 d |
= 604 800 s |
| year (Gregorian) |
a, y, or yr |
= 365.2425 d average, calculated from common years (365 d) plus leap years (366 d) on most years divisible by 4. See leap year for details. |
= 31 556 952 s |
| year (Julian) |
a, y, or yr |
= 365.25 d average, calculated from common years (365 d) plus one leap year (366 d) every four years |
= 31 557 600 s |
| year (sidereal) |
a, y, or yr |
≡ time taken for Sun to return to the same position with respect to the stars of the celestial sphere |
≈ 365.256 363 d ≈ 31 558 149.7632 s |
| year (tropical) |
a, y, or yr |
≡ Length of time it takes for the Sun to return to the same position in the cycle of seasons |
≈ 365.242 190 d ≈ 31 556 925 s |
| Where UTC is observed, the length of time units longer than 1 s may increase or decrease by 1 s if a leap second occurs during the time interval of interest. |
Frequency
Frequency
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| hertz (SI unit) |
Hz |
≡ Number of cycles per second |
= 1 Hz = 1/s |
| revolutions per minute |
rpm |
≡ One unit rpm equals one rotation completed around a fixed axis in one minute of time. |
≈ 0.104719755 rad/s |
Speed or velocity
Speed
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| foot per hour |
fph |
≡ 1 ft/h |
≈ 8.466 667 × 10−5 m/s |
| foot per minute |
fpm |
≡ 1 ft/min |
= 5.08 × 10−3 m/s |
| foot per second |
fps |
≡ 1 ft/s |
= 3.048 × 10−1 m/s |
| furlong per fortnight |
|
≡ furlong/fortnight |
≈ 1.663 095 × 10−4 m/s |
| inch per minute |
ipm |
≡ 1 in/min |
≈ 4.23 333 × 10−4 m/s |
| inch per second |
ips |
≡ 1 in/s |
= 2.54 × 10−2 m/s |
| kilometre per hour |
km/h |
≡ 1 km/h |
≈ 2.777 778 × 10−1 m/s |
| knot |
kn |
≡ 1 NM/h = 1.852 km/h |
≈ 0.514 444 m/s |
| knot (Admiralty) |
kn |
≡ 1 NM (Adm)/h = 1.853 184 km/h[citation needed] |
= 0.514 773 m/s |
| mach number |
M |
Ratio of the speed to the speed of sound in the medium. Varies especially with temperature. About 761 mph (1225 kph) in air at sea level to about 660 mph (1062 kph) at jet altitudes. Unitless |
≈ 340 to 295 m/s for aircraft |
| metre per second (SI unit) |
m/s |
≡ 1 m/s |
= 1 m/s |
| mile per hour |
mph |
≡ 1 mi/h |
= 0.447 04 m/s |
| mile per minute |
mpm |
≡ 1 mi/min |
= 26.8224 m/s |
| mile per second |
mps |
≡ 1 mi/s |
= 1 609.344 m/s |
| speed of light in vacuum |
c |
≡ 299 792 458 m/s |
= 299 792 458 m/s |
| speed of sound in air |
s |
Varies especially with temperature. About 761 mph (1225 kph) in air at sea level to about 660 mph (1062 kph) at jet altitudes. |
≈ 340 to 295 m/s at aircraft altitudes |
A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.
Flow (volume)
Flow
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| cubic foot per minute |
CFM |
≡ 1 ft3/min |
= 4.719474432×10−4 m3/s |
| cubic foot per second |
ft3/s |
≡ 1 ft3/s |
= 0.028316846592 m3/s |
| cubic inch per minute |
in3/min |
≡ 1 in3/min |
= 2.7311773 × 10−7 m3/s |
| cubic inch per second |
in3/s |
≡ 1 in3/s |
= 1.6387064×10−5 m3/s |
| cubic metre per second (SI unit) |
m3/s |
≡ 1 m3/s |
= 1 m3/s |
| gallon (U.S. fluid) per day |
GPD |
≡ 1 gal/d |
= 4.381263638 × 10−8 m3/s |
| gallon (U.S. fluid) per hour |
GPH |
≡ 1 gal/h |
= 1.051503273 × 10−6 m3/s |
| gallon (U.S. fluid) per minute |
GPM |
≡ 1 gal/min |
= 6.30901964×10−5 m3/s |
| litre per minute |
LPM |
≡ 1 L/min |
= 1.6 × 10−5 m3/s |
Acceleration
Force
Force
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| atomic unit of force |
|
≡ me·α2·c2/a0 |
≈ 8.238 722 06 × 10−8 N [23] |
| dyne (cgs unit) |
dyn |
≡ g·cm/s2 |
= 10−5 N |
| kilogram-force; kilopond; grave-force |
kgf; kp; Gf |
≡ g × 1 kg |
= 9.806 65 N |
| kip; kip-force |
kip; kipf; klbf |
≡ g × 1 000 lb |
= 4.448 221 615 2605 × 103 N |
| milligrave-force, gravet-force |
mGf; gf |
≡ g × 1 g |
= 9.806 65 mN |
| newton (SI unit) |
N |
A force capable of giving a mass of one kg an acceleration of one metre per second, per second.[24] |
= 1 N = 1 kg·m/s2 |
| ounce-force |
ozf |
≡ g × 1 oz |
= 0.278 013 850 953 7812 N |
| pound |
lb |
≡ slug·ft/s2 |
= 4.448 230 531 N |
| pound-force |
lbf |
≡ g × 1 lb |
= 4.448 221 615 2605 N |
| poundal |
pdl |
≡ 1 lb·ft/s2 |
= 0.138 254 954 376 N |
| sthene (mts unit) |
sn |
≡ 1 t·m/s2 |
= 1 × 103 N |
| ton-force |
tnf |
≡ g × 1 sh tn |
= 8.896 443 230 521 × 103 N |
See also: Conversion between weight (force) and mass
Pressure or mechanical stress
Pressure
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| atmosphere (standard) |
atm |
|
≡ 101 325 Pa [25] |
| atmosphere (technical) |
at |
≡ 1 kgf/cm2 |
= 9.806 65 × 104 Pa [25] |
| bar |
bar |
|
≡ 105 Pa |
| barye (cgs unit) |
|
≡ 1 dyn/cm2 |
= 0.1 Pa |
| centimetre of mercury |
cmHg |
≡ 13 595.1 kg/m3 × 1 cm × g |
≈ 1.333 22 × 103 Pa [25] |
| centimetre of water (4 °C) |
cmH2O |
≈ 999.972 kg/m3 × 1 cm × g |
≈ 98.0638 Pa [25] |
| foot of mercury (conventional) |
ftHg |
≡ 13 595.1 kg/m3 × 1 ft × g |
≈ 40.636 66 × 103 Pa [25] |
| foot of water (39.2 °F) |
ftH2O |
≈ 999.972 kg/m3 × 1 ft × g |
≈ 2.988 98 × 103 Pa [25] |
| inch of mercury (conventional) |
inHg |
≡ 13 595.1 kg/m3 × 1 in × g |
≈ 3.386 389 × 103 Pa [25] |
| inch of water (39.2 °F) |
inH2O |
≈ 999.972 kg/m3 × 1 in × g |
≈ 249.082 Pa [25] |
| kilogram-force per square millimetre |
kgf/mm2 |
≡ 1 kgf/mm2 |
= 9.806 65 × 106 Pa [25] |
| kip per square inch |
ksi |
≡ 1 kipf/sq in |
≈ 6.894 757 × 106 Pa [25] |
| micron (micrometre) of mercury |
μmHg |
≡ 13 595.1 kg/m3 × 1 μm × g ≈ 0.001 torr |
≈ 0.133 3224 Pa [25] |
| millimetre of mercury |
mmHg |
≡ 13 595.1 kg/m3 × 1 mm × g ≈ 1 torr |
≈ 133.3224 Pa [25] |
| millimetre of water (3.98 °C) |
mmH2O |
≈ 999.972 kg/m3 × 1 mm × g = 0.999 972 kgf/m2 |
= 9.806 38 Pa |
| pascal (SI unit) |
Pa |
≡ N/m2 = kg/(m·s2) |
= 1 Pa [26] |
| pièze (mts unit) |
pz |
≡ 1 000 kg/m·s2 |
= 1 × 103 Pa = 1 kPa |
| pound per square foot |
psf |
≡ 1 lbf/ft2 |
≈ 47.880 25 Pa [25] |
| pound per square inch |
psi |
≡ 1 lbf/in2 |
≈ 6.894 757 × 103 Pa [25] |
| poundal per square foot |
pdl/sq ft |
≡ 1 pdl/sq ft |
≈ 1.488 164 Pa [25] |
| short ton per square foot |
|
≡ 1 sh tn × g / 1 sq ft |
≈ 95.760 518 × 103 Pa |
| torr |
torr |
≡ 101 325/760 Pa |
≈ 133.3224 Pa [25] |
Torque or moment of force
Torque
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| foot-pound force |
ft lbf |
≡ g × 1 lb × 1 ft |
= 1.355 817 948 331 4004 N·m |
| foot-poundal |
ft pdl |
≡ 1 lb·ft2/s2 |
= 4.214 011 009 380 48 × 10−2 N·m |
| inch-pound force |
in lbf |
≡ g × 1 lb × 1 in |
= 0.112 984 829 027 6167 N·m |
| metre kilogram |
m kg |
≡ N × m / g |
≈ 0.101 971 621 N·m |
| Newton metre (SI unit) |
N·m |
≡ N × m = kg·m2/s2 |
= 1 N·m |
Energy, work, or amount of heat
Energy
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| barrel of oil equivalent |
bboe |
≈ 5.8 × 106 BTU59 °F |
≈ 6.12 × 109 J |
| British thermal unit (ISO) |
BTUISO |
≡ 1.0545 × 103 J |
= 1.0545 × 103 J |
| British thermal unit (International Table) |
BTUIT |
|
= 1.055 055 852 62 × 103 J |
| British thermal unit (mean) |
BTUmean |
|
≈ 1.055 87 × 103 J |
| British thermal unit (thermochemical) |
BTUth |
|
≈ 1.054 350 × 103 J |
| British thermal unit (39 °F) |
BTU39 °F |
|
≈ 1.059 67 × 103 J |
| British thermal unit (59 °F) |
BTU59 °F |
≡ 1.054 804 × 103 J |
= 1.054 804 × 103 J |
| British thermal unit (60 °F) |
BTU60 °F |
|
≈ 1.054 68 × 103 J |
| British thermal unit (63 °F) |
BTU63 °F |
|
≈ 1.0546 × 103 J |
| calorie (International Table) |
calIT |
≡ 4.1868 J |
= 4.1868 J |
| calorie (mean) |
calmean |
|
≈ 4.190 02 J |
| calorie (thermochemical) |
calth |
≡ 4.184 J |
= 4.184 J |
| calorie (3.98 °C) |
cal3.98 °C |
|
≈ 4.2045 J |
| calorie (15 °C) |
cal15 °C |
≡ 4.1855 J |
= 4.1855 J |
| calorie (20 °C) |
cal20 °C |
|
≈ 4.1819 J |
| Celsius heat unit (International Table) |
CHUIT |
≡ 1 BTUIT × 1 K/°R |
= 1.899 100 534 716 × 103 J |
| cubic centimetre of atmosphere; standard cubic centimetre |
cc atm; scc |
≡ 1 atm × 1 cm3 |
= 0.101 325 J |
| cubic foot of atmosphere; standard cubic foot |
cu ft atm; scf |
≡ 1 atm × 1 ft3 |
= 2.869 204 480 9344 × 103 J |
| cubic foot of natural gas |
|
≡ 1 000 BTUIT |
= 1.055 055 852 62 × 106 J |
| cubic yard of atmosphere; standard cubic yard |
cu yd atm; scy |
≡ 1 atm × 1 yd3 |
= 77.468 520 985 2288 × 103 J |
| electronvolt |
eV |
≡ e × 1 V |
≈ 1.602 177 33 × 10−19 ± 4.9 × 10−26 J |
| erg (cgs unit) |
erg |
≡ 1 g·cm2/s2 |
= 10−7 J |
| foot-pound force |
ft lbf |
≡ g × 1 lb × 1 ft |
= 1.355 817 948 331 4004 J |
| foot-poundal |
ft pdl |
≡ 1 lb·ft2/s2 |
= 4.214 011 009 380 48 × 10−2 J |
| gallon-atmosphere (imperial) |
imp gal atm |
≡ 1 atm × 1 gal (imp) |
= 460.632 569 25 J |
| gallon-atmosphere (US) |
US gal atm |
≡ 1 atm × 1 gal (US) |
= 383.556 849 0138 J |
| hartree, atomic unit of energy |
Eh |
≡ me·α2·c2 (= 2 Ry) |
≈ 4.359 744 × 10−18 J |
| horsepower-hour |
hp·h |
≡ 1 hp × 1 h |
= 2.684 519 537 696 172 792 × 106 J |
| inch-pound force |
in lbf |
≡ g × 1 lb × 1 in |
= 0.112 984 829 027 6167 J |
| joule (SI unit) |
J |
The work done when a force of one newton moves the point of its application a distance of one metre in the direction of the force.[24] |
= 1 J = 1 m·N = 1 kg·m2/s2 |
| kilocalorie; large calorie |
kcal; Cal |
≡ 1 000 calIT |
= 4.1868 × 103 J |
| kilowatt-hour; Board of Trade Unit |
kW·h; B.O.T.U. |
≡ 1 kW × 1 h |
= 3.6 × 106 J |
| litre-atmosphere |
l atm; sl |
≡ 1 atm × 1 L |
= 101.325 J |
| quad |
|
≡ 1015 BTUIT |
= 1.055 055 852 62 × 1018 J |
| rydberg |
Ry |
≡ R∞·ℎ·c |
≈ 2.179 872 × 10−18 J |
| therm (E.C.) |
|
≡ 100 000 BTUIT |
= 105.505 585 262 × 106 J |
| therm (U.S.) |
|
≡ 100 000 BTU59 °F |
= 105.4804 × 106 J |
| thermie |
th |
≡ 1 McalIT |
= 4.1868 × 106 J |
| ton of coal equivalent |
TCE |
≡ 7 Gcalth |
= 29.3076 × 109 J |
| ton of oil equivalent |
TOE |
≡ 10 Gcalth |
= 41.868 × 109 J |
| ton of TNT |
tTNT |
≡ 1 Gcalth |
= 4.184 × 109 J |
Power or heat flow rate
Power
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| atmosphere-cubic centimetre per minute |
atm ccm |
≡ 1 atm × 1 cm3/min |
= 1.688 75 × 10−3 W |
| atmosphere-cubic centimetre per second |
atm ccs |
≡ 1 atm × 1 cm3/s |
= 0.101 325 W |
| atmosphere-cubic foot per hour |
atm cfh |
≡ 1 atm × 1 cu ft/h |
= 0.797 001 244 704 W |
| atmosphere-cubic foot per minute |
atm·cfm |
≡ 1 atm × 1 cu ft/min |
= 47.820 074 682 24 W |
| atmosphere-cubic foot per second |
atm cfs |
≡ 1 atm × 1 cu ft/s |
= 2.869 204 480 9344 × 103 W |
| BTU (International Table) per hour |
BTUIT/h |
≡ 1 BTUIT/h |
≈ 0.293 071 W |
| BTU (International Table) per minute |
BTUIT/min |
≡ 1 BTUIT/min |
≈ 17.584 264 W |
| BTU (International Table) per second |
BTUIT/s |
≡ 1 BTUIT/s |
= 1.055 055 852 62 × 103 W |
| calorie (International Table) per second |
calIT/s |
≡ 1 calIT/s |
= 4.1868 W |
| foot-pound-force per hour |
ft lbf/h |
≡ 1 ft lbf/h |
≈ 3.766 161 × 10−4 W |
| foot-pound-force per minute |
ft lbf/min |
≡ 1 ft lbf/min |
= 2.259 696 580 552 334 × 10−2 W |
| foot-pound-force per second |
ft lbf/s |
≡ 1 ft lbf/s |
= 1.355 817 948 331 4004 W |
| horsepower (boiler) |
bhp |
≈ 34.5 lb/h × 970.3 BTUIT/lb |
≈ 9.810 657 × 103 W |
| horsepower (European electrical) |
hp |
≡ 75 kp·m/s |
= 736 W |
| horsepower (Imperial electrical) |
hp |
≡ 746 W |
= 746 W |
| horsepower (Imperial mechanical) |
hp |
≡ 550 ft lbf/s |
= 745.699 871 582 270 22 W |
| horsepower (metric) |
hp |
≡ 75 m kgf/s |
= 735.498 75 W |
| litre-atmosphere per minute |
L·atm/min |
≡ 1 atm × 1 L/min |
= 1.688 75 W |
| litre-atmosphere per second |
L·atm/s |
≡ 1 atm × 1 L/s |
= 101.325 W |
| lusec |
lusec |
≡ 1 L·µmHg/s [14] |
≈ 1.333 × 10−4 W |
| poncelet |
p |
≡ 100 m kgf/s |
= 980.665 W |
| square foot equivalent direct radiation |
sq ft EDR |
≡ 240 BTUIT/h |
≈ 70.337 057 W |
| ton of air conditioning |
|
≡ 1 t ice melted / 24 h |
≈ 3 504 W |
| ton of refrigeration (Imperial) |
|
≡ 1 BTUIT × 1 lng tn/lb ÷ 10 min/s |
≈ 3.938 875 × 103 W |
| ton of refrigeration (IT) |
|
≡ 1 BTUIT × 1 sh tn/lb ÷ 10 min/s |
≈ 3.516 853 × 103 W |
| watt (SI unit) |
W |
The power which in one second of time gives rise to one joule of energy.[24] |
= 1 W = 1 J/s = 1 N·m/s = 1 kg·m2/s3 |
Action
Dynamic viscosity
Dynamic viscosity
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| pascal second (SI unit) |
Pa·s |
≡ N·s/m2 , kg/(m·s) |
= 1 Pa·s |
| poise (cgs unit) |
P |
≡ 10−1 Pa·s |
= 0.1 Pa·s |
| pound per foot hour |
lb/(ft·h) |
≡ 1 lb/(ft·h) |
≈ 4.133 789 × 10−4 Pa·s |
| pound per foot second |
lb/(ft·s) |
≡ 1 lb/(ft·s) |
≈ 1.488164 Pa·s |
| pound-force second per square foot |
lbf·s/ft2 |
≡ 1 lbf·s/ft2 |
≈ 47.88026 Pa·s |
| pound-force second per square inch |
lbf·s/in2 |
≡ 1 lbf·s/in2 |
≈ 6,894.757 Pa·s |
Kinematic viscosity
Kinematic viscosity
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| square foot per second |
ft2/s |
≡ 1 ft2/s |
= 0.09290304 m2/s |
| square metre per second (SI unit) |
m2/s |
≡ 1 m2/s |
= 1 m2/s |
| stokes (cgs unit) |
St |
≡ 10−4 m2/s |
= 10−4 m2/s |
Electric current
Electric current
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| ampere (SI base unit) |
A |
≡ The constant current needed to produce a force of 2 × 10−7 newton per metre between two straight parallel conductors of infinite length and negligible circular cross-section placed one metre apart in a vacuum.[8] |
= 1 A |
| electromagnetic unit; abampere (cgs unit) |
abamp |
≡ 10 A |
= 10 A |
| esu per second; statampere (cgs unit) |
esu/s |
≡ (0.1 A·m/s) / c |
≈ 3.335641×10−10 A |
Electric charge
Electric dipole
Electric dipole
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| atomic unit of electric dipole moment |
ea0 |
|
≈ 8.478 352 81 × 10−30 C·m[28] |
Electromotive force, electric potential difference
Voltage, electromotive force
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| abvolt (cgs unit) |
abV |
≡ 1 × 10−8 V |
= 1 × 10−8 V |
| statvolt (cgs unit) |
statV |
≡ c· (1 μJ/A·m) |
= 299.792 458 V |
| volt (SI unit) |
V |
The difference in electric potential across two points along a conducting wire carrying one ampere of constant current when the power dissipated between the points equals one watt.[24] |
= 1 V = 1 W/A = 1 kg·m2/(A·s3) |
Electrical resistance
Electrical resistance
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| ohm (SI unit) |
Ω |
The resistance between two points in a conductor when one volt of electric potential difference, applied to these points, produces one ampere of current in the conductor.[24] |
= 1 Ω = 1 V/A = 1 kg·m2/(A2·s3) |
Capacitance
Capacitor's ability to store charge
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| farad (SI unit) |
F |
The capacitance between two parallel plates that results in one volt of potential difference when charged by one coulomb of electricity.[24] |
= 1 F = 1 C/V = 1 A2·s4/(kg·m2) |
Magnetic flux
magnetic flux
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| maxwell (CGS unit) |
Mx |
≡ 10−8 Wb[29] |
= 1 × 10−8 Wb |
| weber (SI unit) |
Wb |
Magnetic flux which, linking a circuit of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero at a uniform rate in 1 second.[24] |
= 1 Wb = 1 V·s = 1 kg·m2/(A·s2) |
Magnetic flux density
What physicists call Magnetic field is called Magnetic flux density by electrical engineers and magnetic induction by applied mathematicians and electrical engineers.
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| gauss (CGS unit) |
G |
≡ Mx/cm2 = 10−4 T |
= 1 × 10−4 T [30] |
| tesla (SI unit) |
T |
≡ Wb/m2 |
= 1 T = 1 Wb/m2 = 1 kg/(A·s2) |
Inductance
Inductance
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| henry (SI unit) |
H |
The inductance of a closed circuit that produces one volt of electromotive force when the current in the circuit varies at a uniform rate of one ampere per second.[24] |
= 1 H = 1 Wb/A = 1 kg·m2/(A·s)2 |
Temperature
For more details on this topic, see
Temperature conversion.
Temperature
| Name of unit |
Symbol |
Definition |
Conversion to kelvin |
| degree Celsius |
°C |
°C = K − 273.15. A unit of °C is the same size as a unit of K; however, their numerical values differ as the zero point of Celsius is set at 273.15 K (the ice point).[8] |
[K] = [°C] + 273.15 |
| degree Delisle |
°De |
|
[K] = 373.15 − [°De] × 2/3 |
| degree Fahrenheit |
°F |
0 °F ≡ freezing pt. of H2O+NaCl, 180°F between freezing and boiling pt of H2O @ 1atm |
[K] = ([°F] + 459.67) × 5/9 |
| degree Newton |
°N |
|
[K] = [°N] × 100/33 + 273.15 |
| degree Rankine |
°R; °Ra |
0 °R ≡ absolute zero |
[K] = [°R] × 5/9 |
| degree Réaumur |
°Ré |
|
[K] = [°Ré] × 5/4 + 273.15 |
| degree Rømer |
°Rø |
|
[K] = ([°Rø] − 7.5) × 40/21 + 273.15 |
| kelvin (SI base unit) |
K |
≡ 1/273.16 of the thermodynamic temperature of the triple point of water.[8] |
1 K |
Information entropy
Information entropy
| Name of unit |
Symbol |
Definition |
Relation to SI units |
Relation to bits |
| SI unit |
J/K |
≡ J/K |
= 1 J/K |
|
| nat; nip; nepit |
nat |
≡ kB |
= 1.380 650 5(23) × 10−23 J/K |
|
| bit; shannon |
bit; b; Sh |
≡ ln(2) × kB |
= 9.569 940 (16) × 10−24 J/K |
= 1 bit |
| ban; hartley |
ban; Hart |
≡ ln(10) × kB |
= 3.179 065 3(53) × 10−23 J/K |
|
| nibble |
|
≡ 4 bits |
= 3.827 976 0(64) × 10−23 J/K |
= 22 bit |
| byte |
B |
≡ 8 bits |
= 7.655 952 (13) × 10−23 J/K |
= 23 bit |
| kilobyte (decimal) |
kB |
≡ 1 000 B |
= 7.655 952 (13) × 10−20 J/K |
|
| kilobyte (kibibyte) |
KB; KiB |
≡ 1 024 B |
= 7.839 695 (13) × 10−20 J/K |
= 210 bit |
Often, information entropy is measured in shannons, whereas the (discrete) storage space of digital devices is measured in bits. Thus, uncompressed redundant data occupy more than one bit of storage per shannon of information entropy. The multiples of a bit listed above are usually used with this meaning. Other times the bit is used as a measure of information entropy and is thus a synonym of shannon.
Luminous intensity
The candela is the preferred nomenclature for the SI unit.
Luminous intensity
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| candela (SI base unit); candle |
cd |
The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540 × 1012 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.[8] |
= 1 cd |
| candlepower (new) |
cp |
≡ cd The use of candlepower as a unit is discouraged due to its ambiguity. |
= 1 cd |
| candlepower (old, pre-1948) |
cp |
Varies and is poorly reproducible.[31] Approximately 0.981 cd.[14] |
≈ 0.981 cd |
Luminance
Luminance
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| candela per square foot |
cd/ft2 |
≡ cd/ft2 |
≈ 10.763910417 cd/m2 |
| candela per square inch |
cd/in2 |
≡ cd/in2 |
≈ 1,550.0031 cd/m2 |
| candela per square metre (SI unit); nit (deprecated[14]) |
cd/m2 |
≡ cd/m2 |
= 1 cd/m2 |
| footlambert |
fL |
≡ (1/π) cd/ft2 |
≈ 3.4262590996 cd/m2 |
| lambert |
L |
≡ (104/π) cd/m2 |
≈ 3,183.0988618 cd/m2 |
| stilb (CGS unit) |
sb |
≡ 104 cd/m2 |
≈ 1 × 104 cd/m2 |
Luminous flux
Luminous flux
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| lumen (SI unit) |
lm |
≡ cd·sr |
= 1 lm = 1 cd·sr |
Illuminance
Illuminance
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| footcandle; lumen per square foot |
fc |
≡ lm/ft2 |
= 10.763910417 lx |
| lumen per square inch |
lm/in2 |
≡ lm/in2 |
≈ 1,550.0031 lx |
| lux (SI unit) |
lx |
≡ lm/m2 |
= 1 lx = 1 lm/m2 |
| phot (CGS unit) |
ph |
≡ lm/cm2 |
= 1 × 104 lx |
Radiation - source activity
Radioactivity
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| becquerel (SI unit) |
Bq |
≡ Number of disintegrations per second |
= 1 Bq = 1/s |
| curie |
Ci |
≡ 3.7 × 1010 Bq |
= 3.7 × 1010 Bq [32] |
| rutherford (H) |
rd |
≡ 1 MBq |
= 1 × 106 Bq |
Please note that although becquerel (Bq) and hertz (Hz) both ultimately refer to the same SI base unit (s−1), Hz is used only for periodic phenomena, and Bq is only used for stochastic processes associated with radioactivity.[33]
Radiation - exposure
Radiation - exposure
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| roentgen |
R |
1 R ≡ 2.58 × 10−4 C/kg[29] |
= 2.58 × 10−4 C/kg |
The roentgen is not a SI unit and the NIST strongly discourages its continued use.[34]
Radiation - absorbed dose
Radiation - absorbed dose
| Name of unit |
Symbol |
Definition |
Relation to SI units |
| gray (SI unit) |
Gy |
≡ 1 J/kg = 1 m2/s2 [35] |
= 1 Gy |
| rad |
rad |
≡ 0.01 Gy[29] |
= 0.01 Gy |
Radiation - equivalent dose
Although the definitions for sievert (Sv) and gray (Gy) would seem to indicate that they measure the same quantities, this is not the case. The effect of receiving a certain dose of radiation (given as Gy) is variable and depends on many factors, thus a new unit was needed to denote the biological effectiveness of that dose on the body; this is known as the equivalent dose and is shown in Sv. The general relationship between absorbed dose and equivalent dose can be represented as
- H = Q · D
where H is the equivalent dose, D is the absorbed dose, and Q is a dimensionless quality factor. Thus, for any quantity of D measured in Gy, the numerical value for H measured in Sv may be different.[36]
Software tools
Home and office computers come with converters in bundled spreadsheet applications or can access free converters via the Internet. Units and measurements can be easily converted using these tools, but only if the units are explicitly defined and the conversion is compatible (e.g., cmHg to kPa).
Free conversion software
General commercial sources of converters
See also
|
Wikibooks has a book on the topic of
FHSST Physics Units:How to Change Units
|
References
- ^ United States Naval Observatory. (2009). Selected Astronomical Constants, 2009. Accessed May 10, 2009
- ^ "NIST Reference on Constants, Units, and Uncertainty."(2006). National Institute of Standards and Technology. Retrieved February 22, 2008.
- ^ a b National Institute of Standards and Technology General Tables of Units of Measurement
- ^ a b c d e f g h i j k l m n Lide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed). Boca Raton, FL: CRC Press. Section 1.
- ^ a b National Bureau of Standards. (June 30, 1959). Refinement of values for the yard and the pound. Federal Register, viewed September 20, 2006 at National Geodetic Survey web site.
- ^ The International Astronomical Union and Astronomical Units
- ^ Klein, Herbert Arthur. (1988). The Science of Measurement: a Historical Survey. Mineola, NY: Dover Publications 0-4862-5839-4.
- ^ a b c d e f g The International System of Units, Section 2.1 (8 ed.), Bureau International des Poids et Mesures, 2006, http://www.bipm.org/en/si/si_brochure/chapter2/2-1/, retrieved August 26, 2009
- ^ International System of Units, 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
- ^ P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.
- ^ a b c Whitelaw, Ian. (2007). A Measure of All Things: The Story of Man and Measurement. New York: Macmillan 0-312-37026-1. p. 152.
- ^ a b De Vinne, Theodore Low (1900). The practice of typography: a treatise on the processes of type-making, the point system, the names, sizes, styles and prices of plain printing types 2nd ed. New York: The Century Co. p. 142–150.
- ^ Pasko, Wesley Washington (1894). American dictionary of printing and bookmaking. (1894). New York: Howard Lockwood. p. 521.
- ^ a b c d e f Rowlett, Russ (2005), How Many? A Dictionary of Units of Measurement, http://www.unc.edu/~rowlett/units/index.html
- ^ Thompson, A. and Taylor, B.N. (2008). Guide for the Use of the International System of Units (SI). National Institute of Standards and Technology Special Publication 811. p. 57.
- ^ a b c d e U.S. Code of Federal Regulations, Title 21, Section 101.9, Paragraph (b)(5)(viii), http://ecfr.gpoaccess.gov/cgi/t/text/text-idx?c=ecfr&rgn=div8&view=text&node=21:2.0.1.1.2.1.1.6&idno=21, retrieved August 29, 2009
- ^ Barry N. Taylor, Ed.,NIST Special Publication 330: The International System of Units (SI) (2001 Edition), Washington: U.S. Government Printing Office, 43,"The 12th Conference Generale des Poids et Mesures (CGPM)…declares that the word “litre” may be employed as a special name for the cubic decimetre".
- ^ CODATA Value: atomic uint of mass. (2006). National Institute of Standards and Technology. Retrieved 16 September 2008.
- ^ The Swiss Federal Office for Metrology gives Zentner on a German language web page [1] and quintal on the English translation of that page [2]; the unit is marked "spécifiquement suisse !"
- ^ a b Pedersen O. (1983). "Glossary" in Coyne, G., Hoskin, M., and Pedersen, O. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican Observatory. Available from Astrophysics Data System.
- ^ Richards, E.G. (1998), Mapping Time, Oxford University Press, pp. 94–95, ISBN 0-19-850413-6
- ^ Steel, Duncan (2000), Marking Time, John Wiley & Sons, p. 46, ISBN 0-471-29827-1
- ^ CODATA Value: atomic unit of force. (2006). National Institute of Standards and Technology. Retrieved September 14, 2008.
- ^ a b c d e f g h i
Comité International des Poids et Mesures, Resolution 2, 1946, http://www.bipm.org/en/CIPM/db/1946/2/, retrieved August 26, 2009
- ^ a b c d e f g h i j k l m n o p Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: U.S. Government Printing Office, pp. 57–68.
- ^ Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: U.S. Government Printing Office, p. 5.
- ^ International System of Units, 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 7.
- ^ The NIST Reference on Constants, Units, and Uncertainty, 2006, http://physics.nist.gov/cgi-bin/cuu/Value?auedm, retrieved August 26, 2009
- ^ a b c NIST Guide to SI Units, Appendix B.9, http://physics.nist.gov/Pubs/SP811/appenB9.html, retrieved August 27, 2009
- ^ Standard for the Use of the International System of Units (SI): The Modern Metric System IEEE/ASTM SI 10-1997. (1997). New York and West Conshohocken, PA: Institute of Electrical and Electronics Engineers and American Society for Testing and Materials. Tables A.1 through A.5.
- ^ The NIST Reference on Constants, Units, and Uncertainty, http://physics.nist.gov/cuu/Units/candela.html, retrieved August 28, 2009
- ^ Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 10.
- ^ a b The International System of Units, Section 2.2.2., Table 3 (8 ed.), Bureau International des Poids et Mesures, 2006, http://www.bipm.org/en/si/si_brochure/chapter2/2-2/table3.html, retrieved August 27, 2009
- ^ The NIST Guide to the SI (Special Publication 811), section 5.2, 2008, http://physics.nist.gov/Pubs/SP811/sec05.html#5.2, retrieved August 27, 2009
- ^ Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). (Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 5.
- ^
Comité international des poids et mesures, 2002, Recommendation 2, http://www.bipm.org/en/CIPM/db/2002/2/, retrieved August 27, 2009
External links
Categories: Units of measure | Metrication