(Redirected from Conversion of units of energy)
This article gives a list of conversion factors for several physical quantities. A number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI unit.
Conversions between units in the metric system are defined 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 metre). Within each table, the units are listed alphabetically, and the SI units (base or derived) are highlighted.
The following quantities are considered: length, area, volume, plane angle, solid angle, mass, density, time, frequency, velocity, volumetric flow rate, acceleration, force, pressure (or mechanical stress), torque (or moment of force), energy, power (or heat flow rate), action, dynamic viscosity, kinematic viscosity, electric current, electric charge, electric dipole, electromotive force (or electric potential difference), electrical resistance, capacitance, magnetic flux, magnetic flux density, inductance, temperature, information entropy, luminous intensity, luminance, luminous flux, illuminance, radiation.
Legend
Symbol
|
Definition
|
≡
|
exactly equal
|
≈
|
approximately equal to
|
≘
|
(exactly) corresponds to (different types of quantity describing the same phenomenon)
|
digits
|
indicates that digits repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369...)
|
(H)
|
of chiefly historical interest
|
Length
Length
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
ångström |
Å
|
≡ 1×10 m
|
≡ 0.1 nm
|
astronomical unit |
au
|
≡ 149597870700 m ≈ Distance from Earth to Sun
|
≡ 149597870700 m
|
attometre |
am
|
≡ 1×10 m
|
≡ 1×10 m
|
barleycorn (H) |
|
= 1⁄3 in (see note above about rounding)
|
= 8.46×10 m
|
bohr, atomic unit of length |
a0
|
= Bohr radius of hydrogen
|
≈ 5.2917721092(17)×10 m
|
cable length (imperial) |
|
≡ 608 ft
|
≈ 185.3184 m
|
cable length (International) |
|
≡ 1⁄10 nmi
|
≡ 185.2 m
|
cable length (US) |
|
≡ 720 ft
|
= 219.456 m
|
chain (Gunter's; Surveyor's) |
ch
|
≡ 66 ft (US) ≡ 4 rods
|
≈ 20.11684 m
|
cubit (H) |
|
≡ Distance from fingers to elbow ≈ 18 in
|
≈ 0.5 m
|
ell (H) |
ell
|
≡ 45 in (In England usually)
|
= 1.143 m
|
fathom |
ftm
|
≡ 6 ft
|
= 1.8288 m
|
femtometre |
fm
|
≡ 1×10 m
|
≡ 1×10 m
|
fermi |
fm
|
≡ 1×10 m
|
≡ 1×10 m
|
finger |
|
≡ 7⁄8 in
|
= 0.022225 m
|
finger (cloth) |
|
≡ 4+1⁄2 in
|
= 0.1143 m
|
foot (Benoît) (H) |
ft (Ben)
|
|
≈ 0.304799735 m
|
foot (Cape) (H) |
|
Legally defined as 1.033 English feet in 1859
|
≈ 0.314858 m
|
foot (Clarke's) (H) |
ft (Cla)
|
|
≈ 0.3047972654 m
|
foot (Indian) (H) |
ft Ind
|
|
≈ 0.304799514 m
|
foot, metric |
mf
|
≡ 300 mm
|
≡ 0.3 m
|
foot, metric (Mesures usuelles) (H)
|
|
≡ 1⁄3 m
|
≡ 0.3 m
|
foot (International) |
ft
|
≡ 0.3048 m ≡ 1⁄3 yd ≡ 12 inches
|
≡ 0.3048 m
|
foot (Sear's) (H) |
ft (Sear)
|
|
≈ 0.30479947 m
|
foot (US Survey) |
ft (US)
|
≡ 1200⁄3937 m
|
≈ 0.304800610 m
|
french; charriere |
F
|
≡ 1⁄3 mm
|
= 0.3×10 m
|
furlong |
fur
|
≡ 10 chains = 660 ft = 220 yd
|
= 201.168 m
|
hand |
|
≡ 4 in
|
≡ 0.1016 m
|
inch (International) |
in
|
≡ 2.54 cm ≡ 1⁄36 yd ≡ 1⁄12 ft
|
≡ 0.0254 m
|
league (land) |
lea
|
≈ 1 hour walk, Currently defined in US as 3 Statute miles, but historically varied from 2 to 9 km
|
≈ 4828 m
|
light-day |
|
≡ 24 light-hours
|
≡ 2.59020683712×10 m
|
light-hour |
|
≡ 60 light-minutes
|
≡ 1.0792528488×10 m
|
light-minute |
|
≡ 60 light-seconds
|
≡ 1.798754748×10 m
|
light-second |
|
≡ Distance light travels in one second in vacuum
|
≡ 299792458 m
|
light-year |
ly
|
≡ Distance light travels in vacuum in 365.25 days
|
≡ 9.4607304725808×10 m
|
line |
ln
|
≡ 1⁄12 in
|
= 0.002116 m
|
link (Gunter's; Surveyor's) |
lnk
|
≡ 1⁄100 ch ≡ 0.66 ft (US) ≡ 7.92 in
|
≈ 0.2011684 m
|
link (Ramsden's; Engineer's) |
lnk
|
≡ 1 ft
|
= 0.3048 m
|
metre (SI base unit) (meter) |
m
|
≡ Distance light travels in 1⁄299792458 of a second in vacuum.
|
(SI base unit)
|
mickey |
|
≡ 1⁄200 in
|
= 1.27×10 m
|
micrometre (old: micron) |
μ; μm
|
≡ 1×10 m
|
≡ 1×10 m
|
mil; thou |
mil
|
≡ 1×10 in
|
= 2.54×10 m
|
mil (Sweden and Norway) |
mil
|
≡ 10 km
|
= 10000 m
|
mile (geographical) (H) |
|
≡ 6082 ft
|
= 1853.7936 m
|
mile (international) |
mi
|
≡ 80 chains ≡ 5280 ft ≡ 1760 yd
|
≡ 1609.344 m
|
mile (tactical or data) |
|
≡ 6000 ft
|
≡ 1828.8 m
|
mile (telegraph) (H) |
mi
|
≡ 6087 ft
|
= 1855.3176 m
|
mile (US Survey) |
mi
|
≡ 5280 US Survey feet ≡ (5280 × 1200⁄3937) m
|
≈ 1609.347219 m
|
nail (cloth) |
|
≡ 2+1⁄4 in
|
= 0.05715 m
|
nanometre |
nm
|
≡ 1×10 m
|
≡ 1×10 m
|
nautical league |
NL; nl
|
≡ 3 nmi
|
= 5556 m
|
nautical mile (Admiralty) |
NM (Adm); nmi (Adm)
|
= 6080 ft
|
= 1853.184 m
|
nautical mile (international) |
NM; nmi
|
≡ 1852 m
|
≡ 1852 m
|
nautical mile (US pre 1954) |
|
≡ 1853.248 m
|
≡ 1853.248 m
|
pace |
|
≡ 2.5 ft
|
= 0.762 m
|
palm |
|
≡ 3 in
|
= 0.0762 m
|
parsec |
pc
|
Distant point with a parallax shift of one arc second from a base of one astronomical unit. ≡ 648000/π au
|
≈ 30856775814913700 m
|
pica |
|
≡ 12 points
|
Dependent on point measures.
|
picometre |
pm
|
≡ 1×10 m
|
≡ 1×10 m
|
point (American, English) |
pt
|
≡ 1⁄72.272 in
|
≈ 0.000351450 m
|
point (Didot; European) |
pt
|
≡ 1⁄12 × 1⁄72 of pied du roi; After 1878: ≡ 5⁄133 cm
|
≈ 0.00037597 m; After 1878: ≈ 0.00037593985 m
|
point (PostScript) |
pt
|
≡ 1⁄72 in
|
= 0.0003527 m
|
point (TeX) |
pt
|
≡ 1⁄72.27 in
|
= 0.0003514598 m
|
quarter |
|
≡ 1⁄4 yd
|
= 0.2286 m
|
rod; pole; perch (H) |
rd
|
≡ 16+1⁄2 ft
|
= 5.0292 m
|
rope (H) |
rope
|
≡ 20 ft
|
= 6.096 m
|
shaku (Japan) |
|
≡ 10/33 m
|
≈ 0.303 0303 m
|
span (H) |
|
≡ 9 in
|
= 0.2286 m
|
spat |
|
|
≡ 1×10 m
|
stick (H) |
|
≡ 2 in
|
= 0.0508 m
|
soot |
|
≡ 1/8 in
|
= 0.0031 m
|
toise (French, post 1667) (H) |
T
|
≡ 27000/13853 m
|
≈ 1.949 0363 m
|
twip |
twp
|
≡ 1⁄1440 in
|
= 1.7638×10 m
|
x unit; siegbahn |
xu
|
|
≈ 1.0021×10 m
|
yard (International) |
yd
|
≡ 0.9144 m ≡ 3 ft ≡ 36 in
|
≡ 0.9144 m
|
yoctometre |
ym
|
≡ 1×10 m
|
≡ 1×10 m
|
zeptometre |
zm
|
≡ 1×10 m
|
≡ 1×10 m
|
Area
Area
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
acre (international) |
ac
|
≡ 1 ch × 10 ch = 4840 sq yd
|
≡ 4046.8564224 m
|
acre (US survey) |
ac
|
≡ 10 sq ch = 4840 sq yd, also 43560 sq ft
|
≈ 4046.873 m
|
are |
a
|
≡ 100 m
|
≡ 100 m
|
barn |
b
|
≡ 10 m
|
≡ 10 m
|
barony |
|
≡ 4000 ac
|
≡ 1.61874256896×10 m
|
board |
bd
|
≡ 1 in × 1 ft
|
≡ 7.74192×10 m
|
boiler horsepower equivalent direct radiation |
bhp EDR
|
≡ 1 ft × 1 bhp / (240 BTUIT/h)
|
≈ 12.958174 m
|
circular inch |
circ in
|
≡ π⁄4 sq in
|
≈ 5.067075×10 m
|
circular mil; circular thou |
circ mil
|
≡ π⁄4 mil
|
≈ 5.067075×10 m
|
cord |
|
≡ 192 bd
|
≡ 1.48644864 m
|
cuerda (PR Survey) |
cda
|
≡ 1 cda x 1 cda = 0.971222 acre
|
≡ 3930.395625 m
|
dunam |
|
≡ 1000 m
|
≡ 1000 m
|
guntha (India) |
|
≡ 121 sq yd
|
≈ 101.17 m
|
hectare |
ha
|
≡ 10000 m
|
≡ 10000 m
|
hide |
|
≈ 120 ac (variable)
|
≈ 5×10 m
|
rood |
ro
|
≡ 1⁄4 ac
|
= 1011.7141056 m
|
ping |
|
≡ 20⁄11 m × 20⁄11 m
|
≈ 3.306 m
|
section |
|
≡ 1 mi × 1 mi
|
= 2.589988110336×10 m
|
shed |
|
≡ 10 m
|
= 10 m
|
square (roofing) |
|
≡ 10 ft × 10 ft
|
= 9.290304 m
|
square chain (international) |
sq ch
|
≡ 66 ft × 66 ft = 1⁄10 ac
|
≡ 404.68564224 m
|
square chain (US Survey) |
sq ch
|
≡ 66 ft (US) × 66 ft (US) = 1⁄10 US survey acre
|
≈ 404.6873 m
|
square foot |
sq ft
|
≡ 1 ft × 1 ft
|
≡ 9.290304×10 m
|
square foot (US Survey) |
sq ft
|
≡ 1 ft (US) × 1 ft (US)
|
≈ 9.2903411613275×10 m
|
square inch |
sq in
|
≡ 1 in × 1 in
|
≡ 6.4516×10 m
|
square kilometre |
km
|
≡ 1 km × 1 km
|
= 10 m
|
square link (Gunter's)(International) |
sq lnk
|
≡ 1 lnk × 1 lnk ≡ 0.66 ft × 0.66 ft
|
= 4.0468564224×10 m
|
square link (Gunter's)(US Survey) |
sq lnk
|
≡ 1 lnk × 1 lnk ≡ 0.66 ft (US) × 0.66 ft (US)
|
≈ 4.046872×10 m
|
square link (Ramsden's) |
sq lnk
|
≡ 1 lnk × 1 lnk ≡ 1 ft × 1 ft
|
= 0.09290304 m
|
square metre (SI unit) |
m
|
≡ 1 m × 1 m
|
= 1 m
|
square mil; square thou |
sq mil
|
≡ 1 mil × 1 mil
|
= 6.4516×10 m
|
square mile |
sq mi
|
≡ 1 mi × 1 mi
|
≡ 2.589988110336×10 m
|
square mile (US Survey) |
sq mi
|
≡ 1 mi (US) × 1 mi (US)
|
≈ 2.58999847×10 m
|
square rod/pole/perch |
sq rd
|
≡ 1 rd × 1 rd
|
= 25.29285264 m
|
square yard (International) |
sq yd
|
≡ 1 yd × 1 yd
|
≡ 0.83612736 m
|
stremma |
|
≡ 1000 m
|
= 1000 m
|
township |
|
≡ 36 sq mi (US)
|
≈ 9.323994×10 m
|
yardland |
|
≈ 30 ac
|
≈ 1.2×10 m
|
Volume
Volume
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
acre-foot |
ac ft
|
≡ 1 ac x 1 ft = 43560 cu ft
|
= 1233.48183754752 m
|
acre-inch |
|
≡ 1 ac × 1 in
|
= 102.79015312896 m
|
barrel (imperial) |
bl (imp)
|
≡ 36 gal (imp)
|
= 0.16365924 m
|
barrel (petroleum); archaic blue-barrel |
bl; bbl
|
≡ 42 gal (US)
|
≡ 0.158987294928 m
|
barrel (US dry) |
bl (US)
|
≡ 105 qt (US) = 105/32 bu (US lvl)
|
= 0.115628198985075 m
|
barrel (US fluid) |
fl bl (US)
|
≡ 31+1⁄2 gal (US)
|
= 0.119240471196 m
|
board-foot |
bdft
|
≡ 144 cu in
|
≡ 2.359737216×10 m
|
bucket (imperial) |
bkt
|
≡ 4 gal (imp)
|
= 0.01818436 m
|
bushel (imperial) |
bu (imp)
|
≡ 8 gal (imp)
|
= 0.03636872 m
|
bushel (US dry heaped) |
bu (US)
|
≡ 1+1⁄4 bu (US lvl)
|
= 0.0440488377086 m
|
bushel (US dry level) |
bu (US lvl)
|
≡ 2150.42 cu in
|
= 0.03523907016688 m
|
butt, pipe |
|
≡ 126 gal (US) (wine)
|
= 0.476961884784 m
|
coomb |
|
≡ 4 bu (imp)
|
= 0.14547488 m
|
cord (firewood) |
|
≡ 8 ft × 4 ft × 4 ft
|
= 3.624556363776 m
|
cord-foot |
|
≡ 16 cu ft
|
= 0.453069545472 m
|
cubic fathom |
cu fm
|
≡ 1 fm × 1 fm × 1 fm
|
= 6.116438863872 m
|
cubic foot |
ft
|
≡ 1 ft × 1 ft × 1 ft
|
≡ 0.028316846592 m
|
cubic inch |
in
|
≡ 1 in × 1 in × 1 in
|
≡ 16.387064×10 m
|
cubic metre (SI unit) |
m
|
≡ 1 m × 1 m × 1 m
|
≡ 1 m
|
cubic mile |
cu mi
|
≡ 1 mi × 1 mi × 1 mi
|
≡ 4168181825.440579584 m
|
cubic yard |
yd
|
≡ 27 cu ft
|
≡ 0.764554857984 m
|
cup (breakfast) |
|
≡ 10 fl oz (imp)
|
= 284.130625×10 m
|
cup (Canadian) |
c (CA)
|
≡ 8 fl oz (imp)
|
= 227.3045×10 m
|
cup (metric) |
c
|
≡ 250.0×10 m
|
≡ 250.0×10 m
|
cup (US customary) |
c (US)
|
≡ 8 US fl oz ≡ 1⁄16 gal (US)
|
= 236.5882365×10 m
|
cup (US food nutrition labeling) |
c (US)
|
≡ 240 mL
|
= 2.4×10 m
|
dash (imperial) |
|
≡ 1⁄192 gi (imp) = 1/8 tsp (imp)
|
= 739.92350260416×10 m
|
dash (US) |
|
≡ 1⁄48 US fl oz = 1/8 US tsp
|
= 616.11519921875×10 m
|
dessertspoon (imperial) |
|
≡ 1⁄12 gi (imp)
|
= 11.8387760416×10 m
|
drop (imperial) |
gtt
|
≡ 1⁄288 fl oz (imp)
|
= 98.6564670138×10 m
|
drop (imperial) (alt) |
gtt
|
≡ 1⁄1824 gi (imp)
|
≈ 77.886684×10 m
|
drop (medical) |
|
≡ 1⁄12 mL
|
= 83.3×10 m
|
drop (metric) |
|
≡ 1⁄20 mL
|
= 50.0×10 m
|
drop (US) |
gtt
|
≡ 1⁄360 US fl oz
|
= 82.14869322916×10 m
|
drop (US) (alt) |
gtt
|
≡ 1⁄456 US fl oz
|
≈ 64.85423149671×10 m
|
drop (US) (alt) |
gtt
|
≡ 1⁄576 US fl oz
|
≈ 51.34293326823×10 m
|
fifth |
|
≡ 1⁄5 US gal
|
= 757.0823568×10 m
|
firkin |
|
≡ 9 gal (imp)
|
= 0.04091481 m
|
fluid drachm (imperial) |
fl dr
|
≡ 1⁄8 fl oz (imp)
|
= 3.5516328125×10 m
|
fluid dram (US); US fluidram |
fl dr
|
≡ 1⁄8 US fl oz
|
= 3.6966911953125×10 m
|
fluid scruple (imperial) |
fl s
|
≡ 1⁄24 fl oz (imp)
|
= 1.18387760416×10 m
|
gallon (beer) |
beer gal
|
≡ 282 cu in
|
= 4.621152048×10 m
|
gallon (imperial) |
gal (imp)
|
≡ 4.54609 L
|
≡ 4.54609×10 m
|
gallon (US dry) |
gal (US)
|
≡ 1⁄8 bu (US lvl)
|
= 4.40488377086×10 m
|
gallon (US fluid; Wine) |
gal (US)
|
≡ 231 cu in
|
≡ 3.785411784×10 m
|
gill (imperial); Noggin |
gi (imp); nog
|
≡ 5 fl oz (imp)
|
= 142.0653125×10 m
|
gill (US) |
gi (US)
|
≡ 4 US fl oz
|
= 118.29411825×10 m
|
hogshead (imperial) |
hhd (imp)
|
≡ 2 bl (imp)
|
= 0.32731848 m
|
hogshead (US) |
hhd (US)
|
≡ 2 fl bl (US)
|
= 0.238480942392 m
|
jigger (bartending) |
|
≡ 1+1⁄2 US fl oz
|
≈ 44.36×10 m
|
kilderkin |
|
≡ 18 gal (imp)
|
= 0.08182962 m
|
lambda |
λ
|
≡ 1 mm
|
= 1×10 m
|
last |
|
≡ 80 bu (imp)
|
= 2.9094976 m
|
litre (liter) |
L or l
|
≡ 1 dm
|
≡ 0.001 m
|
load |
|
≡ 50 cu ft
|
= 1.4158423296 m
|
minim (imperial) |
min
|
≡ 1⁄480 fl oz (imp) = 1/60 fl dr (imp)
|
= 59.1938802083×10 m
|
minim (US) |
min
|
≡ 1⁄480 US fl oz = 1⁄60 US fl dr
|
= 61.611519921875×10 m
|
ounce (fluid imperial) |
fl oz (imp)
|
≡ 1⁄160 gal (imp)
|
≡ 28.4130625×10 m
|
ounce (fluid US customary) |
US fl oz
|
≡ 1⁄128 gal (US)
|
≡ 29.5735295625×10 m
|
ounce (fluid US food nutrition labeling) |
US fl oz
|
≡ 30 mL
|
≡ 3×10 m
|
peck (imperial) |
pk
|
≡ 2 gal (imp)
|
= 9.09218×10 m
|
peck (US dry) |
pk
|
≡ 1⁄4 US lvl bu
|
= 8.80976754172×10 m
|
perch |
per
|
≡ 16+1⁄2 ft × 1+1⁄2 ft × 1 ft
|
= 0.700841953152 m
|
pinch (imperial) |
|
≡ 1⁄384 gi (imp) = 1⁄2 dash (imp)
|
= 369.961751302083×10 m
|
pinch (US) |
|
≡ 1⁄96 US fl oz = 1⁄2 US dash
|
= 308.057599609375×10 m
|
pint (imperial) |
pt (imp)
|
≡ 1⁄8 gal (imp)
|
= 568.26125×10 m
|
pint (US dry) |
pt (US dry)
|
≡ 1⁄64 bu (US lvl) ≡ 1⁄8 gal (US dry)
|
= 550.6104713575×10 m
|
pint (US fluid) |
pt (US fl)
|
≡ 1⁄8 gal (US)
|
= 473.176473×10 m
|
pony |
|
≡ 3⁄4 US fl oz
|
= 22.180147171875×10 m
|
pottle; quartern |
|
≡ 1⁄2 gal (imp) = 80 fl oz (imp)
|
= 2.273045×10 m
|
quart (imperial) |
qt (imp)
|
≡ 1⁄4 gal (imp)
|
= 1.1365225×10 m
|
quart (US dry) |
qt (US)
|
≡ 1⁄32 bu (US lvl) = 1⁄4 gal (US dry)
|
= 1.101220942715×10 m
|
quart (US fluid) |
qt (US)
|
≡ 1⁄4 gal (US fl)
|
= 946.352946×10 m
|
quarter; pail |
|
≡ 8 bu (imp)
|
= 0.29094976 m
|
register ton |
|
≡ 100 cu ft
|
= 2.8316846592 m
|
sack (US) |
|
≡ 3 bu (US lvl)
|
= 0.10571721050064 m
|
seam |
|
≡ 8 bu
|
= 0.29095 m
|
shot (US) |
|
usually 1.5 US fl oz
|
≈ 44.4×10 m
|
strike (imperial) |
|
≡ 2 bu (imp)
|
= 0.07273744 m
|
strike (US) |
|
≡ 2 bu (US lvl)
|
= 0.07047814033376 m
|
tablespoon (Australian metric) |
|
|
≡ 20.0×10 m
|
tablespoon (Canadian) |
tbsp
|
≡ 1⁄2 fl oz (imp)
|
= 14.20653125×10 m
|
tablespoon (imperial) |
tbsp
|
≡ 5⁄8 fl oz (imp)
|
= 17.7581640625×10 m
|
tablespoon (metric) |
|
|
≡ 15×10 m
|
tablespoon (US customary) |
tbsp
|
≡ 1⁄2 US fl oz
|
= 14.78676478125×10 m
|
tablespoon (US food nutrition labeling) |
tbsp
|
≡ 15 mL
|
= 15×10 m
|
teaspoon (Canadian) |
tsp
|
≡ 1⁄6 fl oz (imp)
|
= 4.735510416×10 m
|
teaspoon (imperial) |
tsp
|
≡ 1⁄24 gi (imp)
|
= 5.91938802083×10 m
|
teaspoon (metric) |
|
≡ 5.0×10 m
|
≡ 5.0×10 m
|
teaspoon (US customary) |
tsp
|
≡ 1⁄6 US fl oz
|
= 4.92892159375×10 m
|
teaspoon (US food nutrition labeling) |
tsp
|
≡ 5 mL
|
= 5×10 m
|
timber foot |
|
≡ 1 cu ft
|
= 0.028316846592 m
|
ton (displacement) |
|
≡ 35 cu ft
|
= 0.99108963072 m
|
ton (freight) |
|
≡ 40 cu ft
|
= 1.13267386368 m
|
ton (water) |
|
≡ 28 bu (imp)
|
= 1.01832416 m
|
tun |
|
≡ 252 gal (wine)
|
= 0.953923769568 m
|
wey (US) |
|
≡ 40 bu (US lvl)
|
= 1.4095628066752 m
|
Plane angle
Plane angle
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
NATO mil |
(various)
|
≡ 2π⁄6400 rad
|
≈ 0.981748×10 rad
|
Swedish streck |
|
≡ 2π⁄6300 rad
|
≈ 0.997302×10 rad
|
milliradian |
mrad
|
≡ 1⁄1000 rad
|
≈ 1×10 rad
|
Warsaw Pact mil |
|
≡ 2π⁄6000 rad
|
≈ 1.047167×10 rad
|
arcminute; MOA |
'
|
≡ 1°⁄60
|
≈ 0.290888×10 rad
|
arcsecond |
"
|
≡ 1°⁄3600
|
≈ 4.848137×10 rad
|
centesimal minute of arc |
'
|
≡ 1⁄100 grad
|
≈ 0.157080×10 rad
|
centesimal second of arc |
"
|
≡ 1⁄10000 grad
|
≈ 1.570796×10 rad
|
degree (of arc) |
°
|
≡ 1⁄360 of a revolution ≡ π⁄180 rad
|
≈ 17.453293×10 rad
|
grad; gradian; gon |
grad
|
≡ 1⁄400 of a revolution ≡ π⁄200 rad ≡ 0.9°
|
≈ 15.707963×10 rad
|
octant |
|
≡ 45°
|
≈ 0.785398 rad
|
quadrant |
|
≡ 90°
|
≈ 1.570796 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°
|
≈ 1.047198 rad
|
sign |
|
≡ 30°
|
≈ 0.523599 rad
|
Solid angle
Solid angle
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
spat |
|
≡ 4π sr – The solid angle subtended by a sphere at its centre.
|
≈ 12.56637 sr
|
square degree |
deg; sq.deg.; (°)
|
≡ (π⁄180) sr
|
≈ 0.30462×10 sr
|
steradian (SI unit) |
sr
|
The solid angle subtended at the center of a sphere of radius r by a portion of the sphere having an area r. A sphere subtends 4π sr.
|
= 1 sr
|
Mass
Notes:
- See Weight for detail of mass/weight distinction and conversion.
- Avoirdupois is a system of mass based on a pound of 16 ounces, while Troy weight is the system of mass where 12 troy ounces equals one troy pound.
- The symbol g0 is used to denote standard gravity in order to avoid confusion with the (upright) g symbol for gram.
Mass
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
atomic mass unit, unified |
u; AMU
|
Same as dalton (see below)
|
≈ 1.66053906892(52)×10 kg
|
atomic unit of mass, electron rest mass |
me
|
|
≈ 9.1093837139(28)×10 kg
|
bag (coffee) |
|
≡ 60 kg
|
= 60 kg
|
bag (Portland cement) |
|
≡ 94 lb av
|
= 42.63768278 kg
|
barge |
|
≡ 22+1⁄2 short ton
|
= 20411.65665 kg
|
carat |
kt
|
≡ 3+1⁄6 gr
|
= 205.1965483 mg
|
carat (metric) |
ct
|
≡ 200 mg
|
= 200 mg
|
clove |
|
≡ 8 lb av
|
= 3.62873896 kg
|
crith |
|
≡ mass of 1 L of hydrogen gas at STP
|
≈ 89.9349 mg
|
dalton |
Da
|
1/12 the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest
|
≈ 1.66053906892(52)×10 kg
|
dram (apothecary; troy) |
dr t
|
≡ 60 gr
|
= 3.8879346 g
|
dram (avoirdupois) |
dr av
|
≡ 27+11⁄32 gr
|
= 1.7718451953125 g
|
electronvolt mass-equivalent |
eV/c
|
≡ 1 eV / c
|
= 1.78266184(45)×10 kg
|
gamma |
γ
|
≡ 1 μg
|
= 1 μg
|
grain |
gr
|
≡ 1⁄7000 lb av
|
≡ 64.79891 mg
|
grave |
gv
|
grave was the original name of the kilogram
|
≡ 1 kg
|
hundredweight (long) |
long cwt or cwt
|
≡ 112 lb av
|
= 50.80234544 kg
|
hundredweight (short); cental |
sh cwt
|
≡ 100 lb av
|
= 45.359237 kg
|
hyl; metric slug |
|
≡ 1 kgf / 1 m/s
|
= 9.80665 kg
|
kilogram (kilogramme) |
kg
|
≈ mass of the prototype near Paris ≈ mass of 1 litre of water
|
(SI base unit)
|
kip |
kip
|
≡ 1000 lb av
|
= 453.59237 kg
|
mark |
|
≡ 8 oz t
|
= 248.8278144 g
|
mite |
|
≡ 1⁄20 gr
|
= 3.2399455 mg
|
mite (metric) |
|
≡ 1⁄20 g
|
= 50 mg
|
ounce (apothecary; troy) |
oz t
|
≡ 1⁄12 lb t
|
= 31.1034768 g
|
ounce (avoirdupois) |
oz av
|
≡ 1⁄16 lb
|
= 28.349523125 g
|
ounce (US food nutrition labelling) |
oz
|
≡ 28 g
|
= 28 g
|
pennyweight |
dwt; pwt
|
≡ 1⁄20 oz t
|
= 1.55517384 g
|
point |
|
≡ 1⁄100 ct
|
= 2 mg
|
pound (avoirdupois) |
lb av
|
≡ 0.45359237 kg = 7000 grains
|
≡ 0.45359237 kg
|
pound (metric) |
|
≡ 500 g
|
= 500 g
|
pound (troy) |
lb t
|
≡ 5760 grains
|
= 0.3732417216 kg
|
quarter (imperial) |
|
≡ 1⁄4 long cwt = 2 st = 28 lb av
|
= 12.70058636 kg
|
quarter (informal) |
|
≡ 1⁄4 short ton
|
= 226.796185 kg
|
quarter, long (informal) |
|
≡ 1⁄4 long ton
|
= 254.0117272 kg
|
quintal (metric) |
q
|
≡ 100 kg
|
= 100 kg
|
scruple (apothecary) |
s ap
|
≡ 20 gr
|
= 1.2959782 g
|
sheet |
|
≡ 1⁄700 lb av
|
= 647.9891 mg
|
slug; geepound |
slug
|
≡ g0 × 1 lb av × 1 s/ft
|
≈ 14.593903 kg
|
stone |
st
|
≡ 14 lb av
|
= 6.35029318 kg
|
ton, assay (long) |
AT
|
≡ 1 mg × 1 long ton ÷ 1 oz t
|
= 32.6 g
|
ton, assay (short) |
AT
|
≡ 1 mg × 1 short ton ÷ 1 oz t
|
= 29.16 g
|
ton, long |
long tn or ton
|
≡ 2240 lb
|
= 1016.0469088 kg
|
ton, short |
sh tn
|
≡ 2000 lb
|
= 907.18474 kg
|
tonne (mts unit) |
t
|
≡ 1000 kg
|
= 1000 kg
|
wey |
|
≡ 252 lb = 18 st
|
= 114.30527724 kg (variants exist)
|
zentner |
Ztr.
|
Definitions vary.
|
|
Density
Density
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
gram per millilitre
|
g/mL
|
≡ g/mL
|
= 1000 kg/m
|
kilogram per cubic metre (SI unit)
|
kg/m
|
≡ kg/m
|
= 1 kg/m
|
kilogram per litre
|
kg/L
|
≡ kg/L
|
= 1000 kg/m
|
ounce (avoirdupois) per cubic foot
|
oz/ft
|
≡ oz/ft
|
≈ 1.001153961 kg/m
|
ounce (avoirdupois) per cubic inch
|
oz/in
|
≡ oz/in
|
≈ 1.729994044×10 kg/m
|
ounce (avoirdupois) per gallon (imperial)
|
oz/gal
|
≡ oz/gal
|
≈ 6.236023291 kg/m
|
ounce (avoirdupois) per gallon (US fluid)
|
oz/gal
|
≡ oz/gal
|
≈ 7.489151707 kg/m
|
pound (avoirdupois) per cubic foot
|
lb/ft
|
≡ lb/ft
|
≈ 16.01846337 kg/m
|
pound (avoirdupois) per cubic inch
|
lb/in
|
≡ lb/in
|
≈ 2.767990471×10 kg/m
|
pound (avoirdupois) per gallon (imperial)
|
lb/gal
|
≡ lb/gal
|
≈ 99.77637266 kg/m
|
pound (avoirdupois) per gallon (US fluid)
|
lb/gal
|
≡ lb/gal
|
≈ 119.8264273 kg/m
|
slug per cubic foot
|
slug/ft
|
≡ slug/ft
|
≈ 515.3788184 kg/m
|
Time
Time
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
atomic unit of time |
a.u.
|
≡ a0/(α⋅c)
|
≈ 2.418884254×10 s
|
Callippic cycle |
|
≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d
|
= 2.396736 Gs or 2.3983776 Gs
|
century |
c
|
≡ 100 years (100 a)
|
= 3.1556952 Gs
|
day |
d
|
= 24 h = 1440 min
|
= 86.4 ks
|
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)
|
≈ 86.1641 ks
|
decade |
dec
|
≡ 10 years (10 a)
|
= 315.569520 Ms
|
fortnight |
fn
|
≡ 2 wk
|
= 1.2096 Ms
|
helek |
|
≡ 1⁄1080 h
|
= 3.3 s
|
Hipparchic cycle |
|
≡ 4 Callippic cycles - 1 d
|
= 9.593424 Gs
|
hour |
h
|
≡ 60 min
|
= 3.6 ks
|
jiffy |
j
|
≡ 1⁄60 s
|
= 16.6 ms
|
jiffy (alternative) |
ja
|
≡ 1⁄100 s
|
= 10 ms
|
kè (quarter of an hour) |
|
≡ 1⁄4 h = 1⁄96 d = 15 min
|
= 900 s
|
kè (traditional) |
|
≡ 1⁄100 d = 14.4 min
|
= 864 s
|
lustre; lūstrum |
|
≡ 5 a of 365 d
|
= 157.68 Ms
|
Metonic cycle; enneadecaeteris |
|
≡ 110 mo (hollow) + 125 mo (full) = 6940 d ≈ 19 a
|
= 599.616 Ms
|
millennium |
|
≡ 1000 years (1000 a)
|
= 31.556952 Gs
|
milliday |
md
|
≡ 1⁄1000 d
|
= 86.4 s
|
minute |
min
|
≡ 60 s, due to leap seconds sometimes 59 s or 61 s,
|
= 60 s
|
moment |
|
≡ 90 s
|
= 90 s
|
month (full) |
mo
|
≡ 30 d
|
= 2.592×10 s
|
month (Greg. av.) |
mo
|
= 30.436875 d
|
≈ 2.6297 Ms
|
month (hollow) |
mo
|
≡ 29 d
|
= 2.5056 Ms
|
Month (synodic) |
mo
|
Cycle time of moon phases ≈ 29.530589 d (average)
|
≈ 2.551 Ms
|
octaeteris |
|
= 48 mo (full) + 48 mo (hollow) + 3 mo (full) = 8 a of 365.25 d = 2922 d
|
= 252.4608 Ms
|
Planck time |
|
≡ (Gℏ⁄c)
|
≈ 5.39116×10 s
|
second (SI base unit) |
s
|
≡ Time of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom at 0 K (but other seconds are sometimes used in astronomy). Also that time it takes for light to travel a distance of 299792458 metres.
|
(SI base unit)
|
shake |
|
≡ 10 s
|
= 10 ns
|
sigma |
|
≡ 10 s
|
= 1 μs
|
Sothic cycle |
|
≡ 1461 a of 365 d
|
= 46.074096 Gs
|
svedberg |
S
|
≡ 10 s
|
= 100 fs
|
week |
wk
|
≡ 7 d = 168 h = 10080 min
|
= 604.8 ks
|
year (common) |
a, y, or yr |
365 d |
= 31.536 Ms
|
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.
|
= 31.556952 Ms
|
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
|
= 31.5576 Ms
|
year (leap) |
a, y, or yr |
366 d |
= 31.6224 Ms
|
year (mean tropical) |
a, y, or yr
|
Conceptually, the length of time it takes for the Sun to return to the same position in the cycle of seasons, approximately 365.24219 d, each day being 86400 SI seconds
|
≈ 31.556925 Ms
|
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, approximately 365.256363 d
|
≈ 31.5581497632 Ms
|
Notes:
- see Callippic cycle for explanation of the differences
- ^ This is based on the average Gregorian year. See above for definition of year lengths.
- ^ Where UTC is observed, the length of this unit may increase or decrease
depending on the number of leap seconds which occur during the time interval in question.
- The length of ancient lustral cycles was not constant; see Lustrum for more details
|
Frequency
Frequency
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
actions per minute |
APM
|
≡ 1/60 Hz
|
≈ 0.0167 Hz
|
cycle per second |
cps
|
≡ 1 Hz
|
= 1 cps = 1 Hz
|
degree per second |
deg/s
|
≡ 1 °/s ≡ 1/360 Hz
|
= 0.0027 Hz
|
hertz (SI unit) |
Hz
|
≡ One cycle per second
|
= 1 Hz = 1/s
|
radian per second |
rad/s
|
≡ 1/(2π) Hz
|
≈ 0.159155 Hz
|
revolution per minute |
rpm
|
≡ One 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
|
= 8.46×10 m/s
|
foot per minute |
fpm
|
≡ 1 ft/min
|
= 5.08×10 m/s
|
foot per second |
fps
|
≡ 1 ft/s
|
= 3.048×10 m/s
|
furlong per fortnight |
|
≡ furlong/fortnight
|
≈ 1.663095×10 m/s
|
inch per hour |
iph
|
≡ 1 in/h
|
= 7.05×10 m/s
|
inch per minute |
ipm
|
≡ 1 in/min
|
= 4.23×10 m/s
|
inch per second |
ips
|
≡ 1 in/s
|
= 2.54×10 m/s
|
kilometre per hour |
km/h
|
≡ 1 km/h
|
= 2.7×10 m/s
|
knot |
kn
|
≡ 1 nmi/h = 1.852 km/h
|
= 0.514 m/s
|
knot (Admiralty) |
kn
|
≡ 1 NM (Adm)/h = 1.853184 km/h
|
= 0.514773 m/s
|
mach number |
M
|
Ratio of the speed to the speed of sound in the medium (unitless).
|
≈ 340 m/s in air at sea level ≈ 295 m/s in air at jet altitudes
|
metre per second (SI unit) |
m/s
|
≡ 1 m/s
|
= 1 m/s
|
mile per hour |
mph
|
≡ 1 mi/h
|
= 0.44704 m/s
|
mile per minute |
mpm
|
≡ 1 mi/min
|
= 26.8224 m/s
|
mile per second |
mps
|
≡ 1 mi/s
|
= 1609.344 m/s
|
speed of light in vacuum |
c
|
≡ 299792458 m/s
|
= 299792458 m/s
|
speed of sound in air |
s
|
1225 to 1062 km/h (761–660 mph or 661–574 kn)
|
≈ 340 to 295 m/s
|
- Note
- ^ The speed of sound varies especially with temperature and pressure from about 340 m/s (1,225 km/h or 761 mph or 661 kn)
in air at sea level to about 300 m/s (1,062 km/h or 660 mph or 573 kn) at jet altitudes (12200 m or 40000 ft).
|
A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.
Flow (volume)
Volumetric flow rate
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
cubic foot per minute
|
CFM
|
≡ 1 ft/min
|
= 4.719474432×10 m/s
|
cubic foot per second
|
ft/s
|
≡ 1 ft/s
|
= 0.028316846592 m/s
|
cubic inch per minute
|
in/min
|
≡ 1 in/min
|
= 2.7311773×10 m/s
|
cubic inch per second
|
in/s
|
≡ 1 in/s
|
= 1.6387064×10 m/s
|
cubic metre per second (SI unit)
|
m/s
|
≡ 1 m/s
|
= 1 m/s
|
gallon (US fluid) per day
|
GPD
|
≡ 1 gal/d
|
= 4.381263638×10 m/s
|
gallon (US fluid) per hour
|
GPH
|
≡ 1 gal/h
|
= 1.051503273×10 m/s
|
gallon (US fluid) per minute
|
GPM
|
≡ 1 gal/min
|
= 6.30901964×10 m/s
|
litre per minute
|
l/min or L/min
|
≡ 1 L/min
|
= 1.6×10 m/s
|
Acceleration
Force
See also: Weight § Mass, and Mass versus weight
Force
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
atomic unit of force |
|
≡ me⋅α⋅c⁄a0
|
≈ 8.23872206×10 N
|
dyne (CGS unit) |
dyn
|
≡ g⋅cm/s
|
= 10 N
|
kilogram-force; kilopond; grave-force |
kgf; kp; gvf
|
≡ g0 × 1 kg
|
= 9.80665 N
|
kip; kip-force |
kip; kipf; klbf
|
≡ g0 × 1000 lb
|
= 4.4482216152605×10 N
|
milligrave-force, gravet-force |
mgvf; gvtf
|
≡ g0 × 1 g
|
= 9.80665 mN
|
long ton-force |
tnf
|
≡ g0 × 1 long ton
|
= 9.96401641818352×10 N
|
newton (SI unit) |
N
|
A force capable of giving a mass of one kilogram an acceleration of one metre per second per second.
|
= 1 N = 1 kg⋅m/s
|
ounce-force |
ozf
|
≡ g0 × 1 oz
|
= 0.27801385095378125 N
|
pound-force |
lbf
|
≡ g0 × 1 lb
|
= 4.4482216152605 N
|
poundal |
pdl
|
≡ 1 lb⋅ft/s
|
= 0.138254954376 N
|
short ton-force |
tnf
|
≡ g0 × 1 short ton
|
= 8.896443230521×10 N
|
sthene (mts unit) |
sn
|
≡ 1 t⋅m/s
|
= 10 N
|
Pressure or mechanical stress
Pressure
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
atmosphere (standard) |
atm
|
|
≡ 101325 Pa
|
atmosphere (technical) |
at
|
≡ 1 kgf/cm
|
= 9.80665×10 Pa
|
bar |
bar
|
≡ 100000 Pa
|
≡ 10 Pa
|
barye (CGS unit) |
|
≡ 1 dyn/cm
|
= 0.1 Pa
|
centimetre of mercury |
cmHg
|
≡ 13595.1 kg/m × 1 cm × g0
|
≈ 1.33322×10 Pa
|
centimetre of water (4 °C) |
cmH2O
|
≈ 999.972 kg/m × 1 cm × g0
|
≈ 98.0638 Pa
|
foot of mercury (conventional) |
ftHg
|
≡ 13595.1 kg/m × 1 ft × g0
|
≈ 4.063666×10 Pa
|
foot of water (39.2 °F) |
ftH2O
|
≈ 999.972 kg/m × 1 ft × g0
|
≈ 2.98898×10 Pa
|
inch of mercury (conventional) |
inHg
|
≡ 13595.1 kg/m × 1 in × g0
|
≈ 3.386389×10 Pa
|
inch of water (39.2 °F) |
inH2O
|
≈ 999.972 kg/m × 1 in × g0
|
≈ 249.082 Pa
|
kilogram-force per square millimetre |
kgf/mm
|
≡ 1 kgf/mm
|
= 9.80665×10 Pa
|
kip per square inch |
ksi
|
≡ 1 kipf/sq in
|
≈ 6.894757×10 Pa
|
long ton per square foot |
|
≡ 1 long ton × g0 / 1 sq ft
|
≈ 1.0725178011595×10 Pa
|
micrometre of mercury |
μmHg
|
≡ 13595.1 kg/m × 1 μm × g0 ≈ 0.001 torr
|
≈ 0.1333224 Pa
|
millimetre of mercury |
mmHg
|
≡ 13595.1 kg/m × 1 mm × g0 ≈ 1 torr
|
≈ 133.3224 Pa
|
millimetre of water (3.98 °C) |
mmH2O
|
≈ 999.972 kg/m × 1 mm × g0 = 0.999972 kgf/m
|
= 9.80638 Pa
|
pascal (SI unit) |
Pa
|
≡ N/m = kg/(m⋅s)
|
= 1 Pa
|
pièze (mts unit) |
pz
|
≡ 1000 kg/m⋅s
|
= 10 Pa = 1 kPa
|
pound per square foot |
psf
|
≡ 1 lbf/ft
|
≈ 47.88026 Pa
|
pound per square inch |
psi
|
≡ 1 lbf/in
|
≈ 6.894757×10 Pa
|
poundal per square foot |
pdl/sq ft
|
≡ 1 pdl/sq ft
|
≈ 1.488164 Pa
|
short ton per square foot |
|
≡ 1 short ton × g0 / 1 sq ft
|
≈ 9.5760518×10 Pa
|
torr |
torr
|
≡ 101325⁄760 Pa
|
≈ 133.3224 Pa
|
Torque or moment of force
Torque
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
pound-force-foot |
lbf⋅ft
|
≡ g0 × 1 lb × 1 ft
|
= 1.3558179483314004 N⋅m
|
poundal-ft |
pdl⋅ft
|
≡ 1 lb⋅ft/s
|
= 4.21401100938048×10 N⋅m
|
pound force-inch |
lbf⋅in
|
≡ g0 × 1 lb × 1 in
|
= 0.1129848290276167 N⋅m
|
kilogram force-meter |
kgf⋅m
|
≡ g0 × N × m
|
= 9.80665 N⋅m
|
newton-metre (SI unit) |
N⋅m
|
≡ N × m = kg⋅m/s
|
= 1 N⋅m
|
Energy
See also: Units of energy
Energy
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
barrel of oil equivalent |
boe
|
≈ 5.8×10 BTU59 °F
|
≈ 6.12×10 J
|
British thermal unit (ISO) |
BTUISO
|
≡ 1.0545×10 J
|
= 1.0545×10 J
|
British thermal unit (International Table) |
BTUIT
|
|
= 1.05505585262×10 J
|
British thermal unit (mean) |
BTUmean
|
|
≈ 1.05587×10 J
|
British thermal unit (thermochemical) |
BTUth
|
|
≈ 1.054350×10 J
|
British thermal unit (39 °F) |
BTU39 °F
|
|
≈ 1.05967×10 J
|
British thermal unit (59 °F) |
BTU59 °F
|
≡ 1.054804×10 J
|
= 1.054804×10 J
|
British thermal unit (60 °F) |
BTU60 °F
|
|
≈ 1.05468×10 J
|
British thermal unit (63 °F) |
BTU63 °F
|
|
≈ 1.0546×10 J
|
calorie (International Table) |
calIT
|
≡ 4.1868 J
|
= 4.1868 J
|
calorie (mean) |
calmean
|
1⁄100 of the energy required to warm one gram of air-free water from 0 °C to 100 °C at a pressure of 1 atm
|
≈ 4.19002 J
|
calorie (thermochemical) |
calth
|
≡ 4.184 J
|
= 4.184 J
|
Calorie (US; FDA)
|
Cal
|
≡ 1 kcal = 1000 cal
|
= 4184 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
|
= 1.899100534716×10 J
|
cubic centimetre of atmosphere; standard cubic centimetre |
cc atm; scc
|
≡ 1 atm × 1 cm
|
= 0.101325 J
|
cubic foot of atmosphere; standard cubic foot |
cu ft atm; scf
|
≡ 1 atm × 1 ft
|
= 2.8692044809344×10 J
|
cubic foot of natural gas |
|
≡ 1000 BTUIT
|
= 1.05505585262×10 J
|
cubic yard of atmosphere; standard cubic yard |
cu yd atm; scy
|
≡ 1 atm × 1 yd
|
= 77.4685209852288×10 J
|
electronvolt |
eV
|
≡ e × 1 V
|
≡ 1.602176634×10 J
|
erg (CGS unit) |
erg
|
≡ 1 g⋅cm/s
|
= 10 J
|
foot-pound force |
ft lbf
|
≡ g0 × 1 lb × 1 ft
|
= 1.3558179483314004 J
|
foot-poundal |
ft pdl
|
≡ 1 lb⋅ft/s
|
= 4.21401100938048×10 J
|
gallon-atmosphere (imperial) |
imp gal atm
|
≡ 1 atm × 1 gal (imp)
|
= 460.63256925 J
|
gallon-atmosphere (US) |
US gal atm
|
≡ 1 atm × 1 gal (US)
|
= 383.5568490138 J
|
hartree, atomic unit of energy |
Eh
|
≡ me⋅α⋅c (= 2 Ry)
|
≈ 4.359744×10 J
|
horsepower-hour |
hp⋅h
|
≡ 1 hp × 1 h
|
= 2.684519537696172792×10 J
|
inch-pound force |
in lbf
|
≡ g0 × 1 lb × 1 in
|
= 0.1129848290276167 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.
|
= 1 J = 1 m⋅N = 1 kg⋅m/s = 1 C⋅V = 1 W⋅s
|
kilocalorie; large calorie |
kcal; Cal
|
≡ 1000 calIT
|
= 4.1868×10 J
|
kilowatt-hour; Board of Trade Unit |
kW⋅h; B.O.T.U.
|
≡ 1 kW × 1 h
|
= 3.6×10 J
|
litre-atmosphere |
l atm; sl
|
≡ 1 atm × 1 L
|
= 101.325 J
|
quad |
|
≡ 10 BTUIT
|
= 1.05505585262×10 J
|
rydberg |
Ry
|
≡ R∞⋅ℎ⋅c
|
≈ 2.179872×10 J
|
therm (E.C.) |
|
≡ 100000 BTUIT
|
= 105.505585262×10 J
|
therm (US) |
|
≡ 100000 BTU59 °F
|
= 105.4804×10 J
|
thermie |
th
|
≡ 1 McalIT
|
= 4.1868×10 J
|
tonne of coal equivalent |
TCE
|
≡ 7 Gcalth
|
= 29.288×10 J
|
tonne of oil equivalent |
toe
|
≡ 10 GcalIT
|
= 41.868×10 J
|
ton of TNT |
tTNT
|
≡ 1 Gcalth
|
= 4.184×10 J
|
watt-hour |
W⋅h
|
≡ 1 W × 1 h
|
= 3.6×10 J
|
watt-second |
W⋅s
|
≡ 1 J
|
= 1×10 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 cm/min
|
= 1.68875×10 W
|
atmosphere-cubic centimetre per second |
atm ccs
|
≡ 1 atm × 1 cm/s
|
= 0.101325 W
|
atmosphere-cubic foot per hour |
atm cfh
|
≡ 1 atm × 1 cu ft/h
|
= 0.79700124704 W
|
atmosphere-cubic foot per minute |
atm cfm
|
≡ 1 atm × 1 cu ft/min
|
= 47.82007468224 W
|
atmosphere-cubic foot per second |
atm cfs
|
≡ 1 atm × 1 cu ft/s
|
= 2.8692044809344×10 W
|
BTU (International Table) per hour |
BTUIT/h
|
≡ 1 BTUIT/h
|
≈ 0.293071 W
|
BTU (International Table) per minute |
BTUIT/min
|
≡ 1 BTUIT/min
|
≈ 17.584264 W
|
BTU (International Table) per second |
BTUIT/s
|
≡ 1 BTUIT/s
|
= 1.05505585262×10 W
|
calorie (International Table) per second |
calIT/s
|
≡ 1 calIT/s
|
= 4.1868 W
|
erg per second |
erg/s
|
≡ 1 erg/s
|
= 10 W
|
foot-pound-force per hour |
ft⋅lbf/h
|
≡ 1 ft lbf/h
|
≈ 3.766161×10 W
|
foot-pound-force per minute |
ft⋅lbf/min
|
≡ 1 ft lbf/min
|
= 2.259696580552334×10 W
|
foot-pound-force per second |
ft⋅lbf/s
|
≡ 1 ft lbf/s
|
= 1.3558179483314004 W
|
horsepower (boiler) |
hp
|
≈ 34.5 lb/h × 970.3 BTUIT/lb
|
≈ 9809.5 W
|
horsepower (European electrical) |
hp
|
≡ 75 kp⋅m/s
|
= 736 W
|
horsepower (electrical) |
hp
|
≡ 746 W
|
= 746 W
|
horsepower (mechanical) |
hp
|
≡ 550 ft⋅lbf/s
|
= 745.69987158227022 W
|
horsepower (metric) |
hp or PS
|
≡ 75 m⋅kgf/s
|
= 735.49875 W
|
litre-atmosphere per minute |
L·atm/min
|
≡ 1 atm × 1 L/min
|
= 1.68875 W
|
litre-atmosphere per second |
L·atm/s
|
≡ 1 atm × 1 L/s
|
= 101.325 W
|
lusec |
lusec
|
≡ 1 L·μmHg/s
|
≈ 1.333×10 W
|
poncelet |
p
|
≡ 100 m⋅kgf/s
|
= 980.665 W
|
square foot equivalent direct radiation |
sq ft EDR
|
≡ 240 BTUIT/h
|
≈ 70.337057 W
|
ton of air conditioning |
|
≡ 2000 lb of ice melted / 24 h
|
≈ 3504 W
|
ton of refrigeration (imperial) |
|
≡ 2240 lb × iceIT / 24 h: iceIT = 144 °F × 2326 J/kg⋅°F
|
≈ 3.938875×10 W
|
ton of refrigeration (IT) |
|
≡ 2000 lb × iceIT / 24 h: iceIT = 144 °F × 2326 J/kg⋅°F
|
≈ 3.516853×10 W
|
watt (SI unit) |
W
|
The power which in one second of time gives rise to one joule of energy.
|
= 1 W = 1 J/s = 1 N⋅m/s = 1 kg⋅m/s
|
Action
Dynamic viscosity
Dynamic viscosity
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
pascal second (SI unit) |
Pa⋅s
|
≡ N⋅s/m, kg/(m⋅s)
|
= 1 Pa⋅s
|
poise (CGS unit) |
P
|
≡ 1 barye⋅s
|
= 0.1 Pa⋅s
|
pound per foot hour |
lb/(ft⋅h)
|
≡ 1 lb/(ft⋅h)
|
≈ 4.133789×10 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/ft
|
≡ 1 lbf⋅s/ft
|
≈ 47.88026 Pa⋅s
|
pound-force second per square inch |
lbf⋅s/in
|
≡ 1 lbf⋅s/in
|
≈ 6894.757 Pa⋅s
|
Kinematic viscosity
Kinematic viscosity
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
square foot per second |
ft/s
|
≡ 1 ft/s
|
= 0.09290304 m/s
|
square metre per second (SI unit) |
m/s
|
≡ 1 m/s
|
= 1 m/s
|
stokes (CGS unit) |
St
|
≡ 1 cm/s
|
= 10 m/s
|
Electric current
Electric charge
Electric dipole
Electric dipole
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
atomic unit of electric dipole moment |
ea0
|
|
≈ 8.47835281×10 C⋅m
|
coulomb-meter |
C⋅m
|
|
= 1 C⋅m
|
debye |
D
|
≡ 10 esu⋅Å
|
≘ 3.33564095×10 C⋅m
|
Electromotive force, electric potential difference
Voltage, electromotive force
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
abvolt (CGS unit) |
abV
|
≘ 10 V
|
= 10 V
|
statvolt (CGS unit) |
statV
|
≘ c⋅(1 μJ/A⋅m)
|
= 299.792458 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.
|
= 1 V = 1 W/A = 1 kg⋅m/(A⋅s) = 1 J/C
|
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.
|
= 1 Ω = 1 V/A = 1 kg⋅m/(A⋅s)
|
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.
|
= 1 F = 1 C/V = 1 A⋅s/(kg⋅m)
|
Magnetic flux
Magnetic flux
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
maxwell (CGS unit)
|
Mx
|
≘ 10 Wb
|
= 10 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.
|
= 1 Wb = 1 V⋅s = 1 kg⋅m/(A⋅s)
|
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/cm ≘ 10 T
|
= 10 T
|
tesla (SI unit) |
T
|
≡ Wb/m
|
= 1 T = 1 Wb/m = 1 kg/(A⋅s)
|
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.
|
= 1 H = 1 Wb/A = 1 kg⋅m/(A⋅s)
|
Temperature
Further information: Conversion of units of temperature
Information entropy
Modern standards (such as ISO 80000) prefer the shannon to the bit as a unit for a quantity of information entropy, 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.
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)
|
cd
|
The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×10 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.
|
(SI base unit)
|
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. Approximately 0.981 cd.
|
≈ 0.981 cd
|
Luminance
Luminance
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
candela per square foot
|
cd/ft
|
≡ cd/ft
|
≈ 10.763910417 cd/m
|
candela per square inch
|
cd/in
|
≡ cd/in
|
≈ 1550.0031 cd/m
|
candela per square metre (SI unit); nit (deprecated)
|
cd/m
|
≡ cd/m
|
= 1 cd/m
|
footlambert
|
fL
|
≡ (1/π) cd/ft
|
≈ 3.4262590996 cd/m
|
lambert
|
L
|
≡ (10/π) cd/m
|
≈ 3183.0988618 cd/m
|
stilb (CGS unit)
|
sb
|
≡ 10 cd/m
|
= 10 cd/m
|
Luminous flux
Luminous flux
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
lumen (SI unit)
|
lm
|
The luminous flux of a source that emits monochromatic radiation of frequency 540×10 hertz and that has a radiant flux of 1/683 watt.
|
= 1 lm = 1 cd⋅sr
|
Illuminance
Illuminance
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
footcandle; lumen per square foot
|
fc
|
≡ lm/ft
|
= 10.763910417 lx
|
lumen per square inch
|
lm/in
|
≡ lm/in
|
≈ 1550.0031 lx
|
lux (SI unit)
|
lx
|
≡ lm/m
|
= 1 lx = 1 lm/m
|
phot (CGS unit)
|
ph
|
≡ lm/cm
|
= 10 lx
|
Radiation
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
|
≡ 3.7×10 Bq
|
= 3.7×10 Bq
|
rutherford (H) |
Rd
|
≡ 1 MBq
|
= 10 Bq
|
Although becquerel (Bq) and hertz (Hz) both ultimately refer to the same SI base unit (s), Hz is used only for periodic phenomena (i.e. repetitions at regular intervals), and Bq is only used for stochastic processes (i.e. at random intervals) associated with radioactivity.
Radiation – exposure
Radiation – exposure
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
roentgen |
R
|
1 R ≡ 2.58×10 C/kg
|
= 2.58×10 C/kg
|
The roentgen is not an SI unit and the NIST strongly discourages its continued use.
Radiation – absorbed dose
Radiation – absorbed dose
Name of unit
|
Symbol
|
Definition
|
Relation to SI units
|
gray (SI unit) |
Gy
|
≡ 1 J/kg
|
= 1 Gy = 1 J/kg = 1 m⋅s
|
rad |
rad
|
≡ 0.01 Gy
|
= 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.
Notes
- The technical definition of tropical year is the period of time for the ecliptic longitude of the Sun to increase 360 degrees. (Urban & Seidelmann 2013, Glossary, s.v. year, tropical)
External links
References
- jobs (September 14, 2012). "The astronomical unit gets fixed : Nature News & Comment". Nature. Nature.com. doi:10.1038/nature.2012.11416. S2CID 123424704. Retrieved August 31, 2013.
- "NIST Reference on Constants, Units, and Uncertainty."(2010). National Institute of Standards and Technology. Retrieved October 17, 2014.
- ^ "NIST - National Institute of Standards and Technology". NIST.
- ^ Lide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed). Boca Raton, FL: CRC Press. Section 1.
- ^ 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.
- "International Astronomical Union - IAU". www.iau.org.
-
Klein, Herbert Arthur.
(1988). The Science of Measurement: a Historical Survey. Mineola, NY: Dover Publications 0-4862-5839-4.
- ^ The International System of Units, Section 2.1 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on October 1, 2009, retrieved August 26, 2009
- International System of Units, Archived August 21, 2008, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
- Cox, Arthur N., ed. (2000). Allen's Astrophysical Quantities (4th ed.). New York: AIP Press / Springer. Bibcode:2000asqu.book.....C. ISBN 0387987460.
- Binney, James; Tremaine, Scott (2008). Galactic Dynamics (2nd ed.). Princeton, NJ: Princeton University Press. Bibcode:2008gady.book.....B. ISBN 978-0-691-13026-2.
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