UNIT 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 unit. Legend Legend Symbo l 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 Luminance Luminance Name of unit Symbo l Definition Relation to SI units candela per square metre (SI base unit ) ≡ cd/m 2 = 1 cd/m 2 lambert L ≡ (10 4 /π) cd/m 2 ≈ 3183.09886 cd/m 2 Length Length Name of unit Symbol Definition Relation to SI units metre (SI base unit ) m ≡ Distance light travels in 1/299792458 of a second in vacuum = 1 m ångström Å = 0.1 nm ≡ 1×10 −10 m astronomical AU ≈ Distance from Earth to ≈ 149 597 871 464 [1]
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UNIT Conversion factorsThis 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 unit.
Legend
LegendSymbol 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
Luminance
LuminanceName of unit Symbol Definition Relation to SI units
candela per square metre (SI base unit) ≡ cd/m2 = 1 cd/m2
lambert L ≡ (104/π) cd/m2 ≈ 3183.09886 cd/m2
Length
LengthName of unit Symbol Definition Relation to SI units
metre (SI base unit) m≡ Distance light travels in 1/299792458 of a second in vacuum
= 1 m
ångström Å = 0.1 nm ≡ 1×10−10 mastronomical unit AU ≈ Distance from Earth to Sun ≈ 149 597 871 464[1]
bohr, atomic unit of length a0 ≡ Bohr radius of hydrogen ≈ 5.29 177 208 59×10−11 ±
3.6×10−20 m[2]
barleycorn (H) ≡ ⅓ in (see note above about rounding) ≈ 0.008 m
cable length (Imperial) ≡ 608 ft = 185.3184 m
cable length (International) ≡ 1/10 nmi = 185.2 m
cable length (U.S.) ≡ 720 ft = 219.456 mchain (Gunter's; Surveyor's) ch ≡ 66 ft ≡ 4 rods[3] = 20.1168 m
cubit (H) ≡ Distance from fingers to elbow ≈ ≈ 0.5 m
square chain sq ch ≡ 1 sq ch ≡ .10 ac = 404.685 642 24 m²square foot sq ft ≡ 1 ft × 1 ft = 9.290 304×10−2 m²square inch sq in ≡ 1 in × 1 in = 6.4516×10−4 m²square kilometre km² ≡ 1 km² = 106 m²square link sq lnk ≡ 1 lnk² = 4.046 856 422 4×10−2 m²square metre (SI unit) m² ≡ 1 m × 1 m = 1 m²square mil; square thou sq mil ≡ 1 mil × 1 mil = 6.4516×10−10 m²
square mile; section sq mi ≡ 1 mi × 1 mi = 2.589 988 110 336 ×106 m²
square rod/pole/perch sq rd ≡ 1 sq rd = 25.292 852 64 m²square U.S. Survey foot sq ft ≡ 1 sq ft (US) ≈ 9.290 341 161 327 49×10-2 m²square U.S. Survey mile sq mi ≡ 1 sq mi (US) ≈ 2.589 998×106 m²square yard sq yd ≡ 1 yd × 1 yd = 0.836 127 36 m²stremma ≡ 1000 m² = 1000 m²township ≡ 36 sq mi (US) ≈ 9.323 994×107 m²yardland ≡ 30 ac = 1.214 056 926 72×105 m²
Volume
VolumeName of unit Symbol Definition Relation to SI units
acre foot ac ft ≡ 1 ac x 1 ft = 43560 ft³ = 1 233.481 837 547 52 m³cubic metre (SI unit) m³ ≡ 1 m × 1 m × 1 m = 1 m³litre L ≡ 1 dm³ [10] = 0.001 m³lambda λ ≡ 1 mm³ = 1 ×10−9 m³drop (metric) ≡ 1/20 mL = 50.0 ×10−9 m³
minim (Imperial) min ≡ 1/480 fl oz (Imp) = 1/60 fl dr (Imp) = 59.193 880 2083 ×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
drop (U.S.) (alt) gtt ≡ 1/456 US fl oz ≈ 64.854 231 ×10−9 m³drop (Imperial) (alt) gtt ≡ 1/1824 gi (Imp) ≈ 77.886 684 ×10−9 m³drop (U.S.) gtt ≡ 1/360 US fl oz = 82.148 693 229 16 ×10−9 m³drop (medical) ≡ 1/12 ml = 83.03 ×10−9 m³drop (Imperial) gtt ≡ 1/288 fl oz (Imp) = 98.656 467 0138 ×10−9 m³
dash (U.S.) ≡ 1/96 US fl oz = ½ US pinch
= 308.057 599 609 375 ×10−9 m³
dash (Imperial) ≡ 1/384 gi (Imp) = ½ pinch (Imp)
= 369.961 751 302 08 3 ×10−9 m³
pinch (U.S.) ≡ 1/48 US fl oz = ⅛ US tsp = 616.115 199 218 75 ×10−9 m³
perch per ≡ 16½ ft × 1½ ft × 1 ft = 0.700 841 953 152 m³cubic yard cu yd ≡ 27 cu ft = 0.764 554 857 984 m³
tun ≡ 252 gal (wine) = 0.953 923 769 568 m³
displacement ton ≡ 35 cu ft = 0.991 089 630 72 m³water ton ≡ 28 bu (Imp) = 1.018 324 16 m³freight ton ≡ 40 cu ft = 1.132 673 863 68 m³wey (U.S.) ≡ 40 bu (US lvl) = 1.409 562 806 675 2 m³load ≡ 50 cu ft = 1.415 842 329 6 m³register ton ≡ 100 cu ft = 2.831 684 659 2 m³last ≡ 80 bu (Imp) = 2.909 497 6 m³cord (firewood) ≡ 8 ft × 4 ft × 4 ft = 3.624 556 363 776 m³cubic fathom cu fm ≡ 1 fm × 1 fm × 1 fm = 6.116 438 863 872 m³acre-inch ≡ 1 ac × 1 in = 102.790 153 128 96 m³
exist)long quarter (informal) ≡ ¼ long tn = 254.011 727 2 kg
quarter (informal) ≡ ¼ short tn = 226.796 185 kgkip kip ≡ 1000 lb av = 453.592 37 kgshort ton sh tn ≡ 2000 lb = 907.184 74 kgtonne (mts unit) t ≡ 1000 kg
long ton long tn or ton ≡ 2240 lb = 1016.046 908 8 kg
barge ≡ 22 ½ sh tn = 20,411.656 65 kg
Zentner Ztr.Definitions vary; see [12] and [13]. See also discussion at Talk:Conversion of units#Zentner
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".
Time
Time, t
Name of unit Symbol Definition Relation to SI units
second s
time of 9192631770 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 (but other seconds are sometimes used in astronomy)
(SI base unit)
Planck time ≡ (G ℏ /c5)½ ≈ 1.351 211 818×10−43 s
atomic unit of time au ≡ a0/(α·c) ≈ 2.418 884 254×10−17 s
svedberg S ≡ 10−13 s = 100 fsshake ≡ 10−8 s = 10 nssigma ≡ 10−6 s = 1 μsjiffy ≡ 1/60 s ≈ .016667 sjiffy (alternate) ≡ 1/100 s = 10 mshelek ≡ 1/1080 h ≈ 3.333333 sminute min ≡ 60 smilliday md ≡ 86 400 s / 1000 ≡ 86.4 smoment ≡ 90 s ≡ 90 ske(traditional) ≡ 1/100 d ≡ 864 squarter (of an hour) ke ≡ 1/96 d ≡ 900 shour h ≡ 60 min = 3600 sday d ≡ 24 h = 86 400 sday d ≡ average time between consecutive midnights ≈ 86400 sweek wk ≡ 7 d = 604 800 s
mile per minute mpm ≡ 1 mi/min = 26.8224 m/smile per second mps ≡ 1 mi/s = 1.609 344 km/s = 1609.344 m/sspeed of light in vacuum c ≡ 299 792 458 m/s = 299 792 458 m/s
speed of sound in air s ≈ 344 m/s at 20 °C, 60% relative humidity[14]
mach M ≡ 331 m/s[citation needed] ≈ 331 m/s
A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.
Acceleration
AccelerationName of unit Symbol Definition Relation to SI units
metre per second squared (SI unit) m/s² ≡ 1 m/s² = 1 m/s²foot per hour per second fph/s ≡ 1 ft/(h·s) ≈ 8.466 667×10−5 m/s²inch per minute per second ipm/s ≡ 1 in/(min·s) ≈ 4.233 333×10−4 m/s²foot per minute per second fpm/s ≡ 1 ft/(min·s) = 5.08×10−3 m/s²galileo Gal ≡ 1 cm/s² = 10−2 m/s²inch per second squared ips² ≡ 1 in/s² = 2.54×10−2 m/s²foot per second squared fps² ≡ 1 ft/s² = 3.048×10−1 m/s²mile per hour per second mph/s ≡ 1 mi/(h·s) = 4.4704×10−1 m/s²knot per second kn/s ≡ 1 kn/s ≈ 5.144 444×10−1 m/s²standard gravity g ≡ 9.806 65 m/s²mile per minute per second mpm/s ≡ 1 mi/(min·s) = 26.8224 m/s²mile per second squared mps² ≡ 1 mi/s² = 1.609 344×103 m/s²
Force
ForceName of unit Symbol Definition Relation to SI units
atomic unit of force ≡ me·α²·c²/a0 ≈ 8.238 722 06×10−8 N [15]
pascal (SI unit) Pa ≡ N/m² = kg/(m·s²) = 1 Pa [17]
pièze (mts unit) pz ≡ 1000 kg/m·s² = 1 ×103 Pa = 1 kPapound per square foot psf ≡ 1 lbf/ft² ≈ 47.880 25 Pa [16]
poundal per square foot pdl/sq ft ≡ 1 pdl/sq ft ≈ 1.488 164 Pa [16]
pound per square inch psi ≡ 1 lbf/in² ≈ 6.894 757 ×103 Pa [16]
short ton per square foot ≡ 1 sh tn × g / 1 sq ft ≈ 95.760 518 ×103 Pa
torr torr ≡ 101 325/760 Pa ≈ 133.322 4 Pa [16]
Torque
TorqueName of unit Symbol Definition Relation to SI units
Newton metre (SI unit) N·m ≡ N × m = kg·m²/s² = 1 N·mfoot-poundal ft pdl ≡ 1 lb·ft²/s² = 4.214 011 009 380 48×10−2 N·minch-pound force in lbf ≡ g × 1 lb × 1 in = 0.112 984 829 027 616 7 N·mfoot-pound force ft lbf ≡ g × 1 lb × 1 ft = 1.355 817 948 331 400 4 N·m
[edit] Energy
EnergyName of unit Symbol Definition Relation to SI units
334×10−2 Watmosphere–cubic centimetre per second atm ccs ≡ 1 atm × 1 cm³/s = 0.101 325 W
BTU (International Table) per hour BTUIT/h ≡ 1 BTUIT/h ≈ 0.293 071 W
atmosphere–cubic foot per hour atm cfh ≡ 1 atm × 1 cu ft/h = 0.797 001 244 704 W
foot-pound-force per second ft lbf/s ≡ 1 ft lbf/s = 1.355 817 948 331 400 4 W
litre-atmosphere per minute L·atm/min ≡ 1 atm × 1 L/min = 1.688 75 Wcalorie (International Table) per second calIT/s ≡ 1 calIT/s = 4.1868 W
BTU (International Table) per minute BTUIT/min ≡ 1 BTUIT/min ≈ 17.584 264 W
atmosphere-cubic foot per minute atm·cfm ≡ 1 atm × 1 cu ft/min = 47.820 074 682 24 W
square foot equivalent direct radiation sq ft EDR ≡ 240 BTUIT/h ≈ 70.337 057 W
litre-atmosphere per second L·atm/s ≡ 1 atm × 1 L/s = 101.325 Whorsepower (metric) hp ≡ 75 m kgf/s = 735.498 75 Whorsepower (European electrical) hp ≡ 75 kp·m/s = 736 W
horsepower (Imperial mechanical) hp ≡ 550 ft lbf/s = 745.699 871 582 270 22
Whorsepower (Imperial electrical) hp ≡ 746 Wton of air conditioning ≡ 1 t ice melted / 24 h ≈ 3504. Wponcelet p ≡ 100 m kgf/s = 980.665 WBTU (International Table) per second BTUIT/s ≡ 1 BTUIT/s = 1.055 055 852 62×103 W
atmosphere-cubic foot per second atm cfs ≡ 1 atm × 1 cu ft/s = 2.869 204 480 934 4×103
W
ton of refrigeration (IT) ≡ 1 BTUIT × 1 sh tn/lb ÷ 10 min/s ≈ 3.516 853×103 W
ton of refrigeration (Imperial) ≡ 1 BTUIT × 1 lng tn/lb ÷ 10 min/s ≈ 3.938 875×103 W
Capacitor's Ability to Store ChargeName of unit Symbol Definition Relation to SI units
farad F
amount of capacitance for which a potential difference of one volt results in a static charge of one coulomb
Density
The SI unit for density is:
kilograms per cubic metre (kg/m³)
Metric units outside the SI
kilograms per litre (kg/L). Water generally has a density around 1 kg/L, making this a convenient unit.
kilograms per cubic decimeter (kg/dm³) grams per millilitre (g/mL), grams per cubic centimeter (g/cc or g/cm³).
These are numerically equivalent to kg/L (1 kg/L = 1 kg/dm³ = 1 g/cm³ = 1 g/mL).
In U.S. customary units or Imperial units, the units of density include:
ounces per cubic inch (oz/cu in) pounds per cubic inch (lb/cu in) pounds per cubic foot (lb/cu ft) pounds per cubic yard (lb/cu yd) pounds per gallon (for U.S. or imperial gallons) (lb/gal) pounds per U.S. bushel (lb/bu) slugs per cubic foot.
Electric current
Electric currentName of unit Symbol Definition Relation to SI units
ampere (SI base unit) A1 A
esu per second; statampere (cgs unit) esu/s ≡ (0.1 A·m/s) /c ≈ 3.335 641×10−10 A
electromagnetic unit; abampere (cgs unit) abamp ≡ 10 A
Magnetic field
also known as "magnetic flux density" and "magnetic induction"
Magnetic fieldName of unit Symbol Definition Relation to SI units
teslas T webers per square meter (SI unit)amperes/meter A/mgauss G ≡maxwell / cm2 10-4 T[19]
Magnetic flux
magnetic fluxName of
unit Symbol Definition Relation to SI units
weber Wbmagnetic 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
Electric charge
Electric chargeName of unit Symbol Definition Relation to SI units
coulomb (SI unit) C ≡ A·s = 1 C
atomic unit of charge au ≡ e ≈ 1.602 176 462×10−19 C
statcoulomb; franklin; electrostatic unit (cgs unit)
statC; Fr; esu ≡ (0.1 A·m) /c ≈ 3.335 641×10−10 C
abcoulomb; electromagnetic unit (cgs unit) abC; emu ≡ 10 C
faraday F ≡ 1 mol × NA·e ≈ 96,485.3383 C
Electric Dipole
Electric DipoleName of unit Symbol Definition Relation to SI units
coulomb metre C•m ≡ coulomb × metre
Electromotive force
Voltage, Electromotive forceName of unit Symbol Definition Relation to SI units
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.
[Temperature
Note: see Temperature conversion for more detail
TemperatureName of unit Symbol Definition Conversion to Kelvin
Kelvin (SI base unit) K 0 K ≡ absolute zero (when an ideal gas would
theoretically occupy no space) 1 K
degree centesimal °C befor 1954, 0 °C ≡ triple point of H2O; after 1954,
0.01 °C ≡ triple point of H2O[K] ≈ [°C] + 273.15
degree Celsius °C 0°C ≡ freezing pt. of H2O, 100°C ≡ boiling pt. of H2O at 1 atm [K] = [°C] + 273.15
Radioactivity - equivalent doseName of unit Symbol Definition Relation to SI units
Sievert (SI base unit) Sv = 1 SvRöntgen equivalent man rem ≡ 0.01 Sv = 0.01 Sv
[edit] Software toolsHome 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).
[edit] Free conversion software
Units (software) , a popular cross-platform command-line utility Converter , unit converter for Mozilla Firefox browsers Converber , portable application converting utility calculla calculla - online web converters Online tools Free, javascript-based, conversion tools and more
[edit] General commercial sources of converters
Advanced electronic calculators have unit-conversion functionality. Spreadsheet programs usually provide conversion functions or formulas or the user can write
their own. Commercial mathematical, scientific and technical applications often include converters.
References1. ̂ United States Naval Observatory. (2007). Selected Astronomical Constants, 2009.
February 15 February 2009.2. ̂ "NIST Reference on Constants, Units, and Uncertainty."(2006). National Institute of
Standards and Technology. Accessed 22 February 2008.3. ^ a b c d e f g h i j k l m n o Lide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed).
Boca Raton, FL: CRC Press. Section 1.4. ^ 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.
5. ̂ National Institute of Standards and Technology General Tables of Units of Measurement6. ̂ The International Astronomical Union and Astronomical Units7. ̂ International System of Units, 8th ed. (2006), Bureau International des Poids et Mesures,
Section 4.1 Table 8.8. ̂ P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical
Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.9. ̂ Units: S
10. ̂ 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 “liter” may be employed as a special name for the cubic decimeter".
11. ̂ CODATA Value: atomic uint of mass. (2006). National Institute of Standards and Technology. Retrieved 16 September 2008.
12. ̂ 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 !"
13. ̂ Rowlett, Russ. A Dictionary of Units of Measurement. Viewed October 14, 2006 at http://www.unc.edu/~rowlett/units/dictZ.html
14. ̂ Lide, 1990, p. 14-35.15. ̂ CODATA Value: atomic unit of force. (2006). National Institute of Standards and
Technology. Retrieved 14 September 2008.16. ^ 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.
17. ̂ 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.
18. ̂ Russ Rowlett. (2005). How Many: A Dictionary of Units of Measure. Viewed 5 November 2006 at http://www.unc.edu/~rowlett/units/
19. ̂ 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.
20. ̂ 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.
21. ̂ 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.
Klein, Herbert. 1988. The science of measurement: A historical survey. New York: Dover Publications.
See also
Wikibooks has a book on the topic of FHSST Physics Units:How to Change Units
Units of measurement Units conversion by factor-label False precision Accuracy and precision Significant figures Approximate conversion of units . Temperature conversion International System of Units
English units Imperial units United States customary units
Systems of measurement
Metric systems International System of Units · centimetre-gram-second · metre-tonne-second ·
gravitational system
Natural units Geometric systems · Planck · Stoney · "Schrödinger" · Atomic · Electronic · Quantum
electrodynamical
Customary systems
Avoirdupois · Troy · Apothecaries' · English · Imperial · Canadian · US · Danish · Dutch · Finnish · French · German · Maltese · Norwegian · Scottish · Spanish and Portuguese · Swedish · Polish · Romanian · Russian · Tatar · Hindu · Pegu · Chinese · Japanese · Taiwanese
Ancient systems Greek · Roman · Egyptian · Hebrew · Arabic · Mesopotamian · Persian · Indian
Other systems Non-standard · Mesures usuelles
External links A dictionary of units of measurement NIST: Fundamental physical constants — Non-SI units (PDF) British law: Units of measurement regulations 1995 The Unified Code for Units of Measure Units, Symbols, and Conversions XML Dictionary
Retrieved from "http://en.wikipedia.org/wiki/Conversion_of_units"Categories: Units of measure | Metrication