Conversion of units

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Conversion of units refers to conversion factors between different units of measurement for the same quantity.

Techniques

Dimensioned values

Carrying units through a mathematical operation is sometimes performed.

e.g. to convert 6 feet into metres. From below one foot is exactly 0.3048 metre. Thus:

6 ft × 0.3048 m/ft = 1.8288 m

This leaves only metres, the desired result.

This works because the numerator and denominator describe the same quantity, the factor is equivalent to the number 1. Therefore, multiplication by this factor does not change the measured quantity, only its units.

Rounding of results

The process of making a conversion cannot produce a more precise result than the original quoted figure. Appropriate rounding of results is normally performed after conversion. (See significant figures).

In the above example the 0.3048 metre per foot is precise by definition, but the precision of the answer is determined by the precision of the 6 ft figure and in many cases the result would need rounding perhaps to 1.8 m.

Tables of conversion factors

Legend

Legend
definition
= exactly equal to
approximately equal to
(digits) indicates the digits repeat infinitely

Luminance

Luminance
Name 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

Length
Name of unit Symbol Definition Relation to SI units
metre (SI base unit) m ≡ 1 m = 1 m
ångström Å = 0.1 nm ≡ 1×10−10 m
astronomical unit AU Mean distance from Earth to the Sun = 149 597 870 691 ± 30 m
atomic unit of length a0 ≡ Bohr radius of hydrogen ≈ 5.29 177 208 59×10−11 ± 3.6×10−20 m[1]
barley corn   ≡ ⅓ in = 0.0846 m
Bohr radius a0; b α/4πR ≈ 5.291 772 083×10−11 ± 19×10−20 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 m
calibre cal ≡ 1 in = 0.0254 m
chain (Gunter's; Surveyor's) ch ≡ 66.0 ft (4 rods) = 20.1168 m
chain (Ramsden's; Engineer's) ch ≡ 100 ft = 30.48 m
cubit   ≡ 18 in = 0.4572 m
ell ell ≡ 45 in = 1.143 m
fathom fm ≡ 6 ft = 1.8288 m
fathom fm ≈ 1/1000 nmi[citation needed] = 1.852 m
fermi fm ≡ 1×10−15 m = 1×10−15 m
finger   ≡ 7/8 in = 0.00022225 m
finger (cloth)   ≡ 4 ½ in = 0.1143 m
foot (Benoît) ft (Ben) ≈ 0.304 799 735 m
foot (Clarke's; Cape) ft (Cla) ≈ 0.304 797 265 4 m
foot (Indian) ft Ind ≈ 0.304 799 514 m
foot (International) ft ≡ 12 inches = 1/3 yd = 0.3048 m
foot (Sear's) ft (Sear) ≈ 0.304 799 47 m
foot (U.S. Survey) ft (US) ≡ 1200/3937 m [2] ≈ 0.304 800 610 m
french; charriere F ≡ 1/3 mm = 3.3 ×10−4 m
furlong fur ≡ 10 chains = 660 ft =220 yd = 201.168 m
geographical mile ≡ 6082 ft = 1853.7936 m
hand   ≡ 4 in = 0.1016 m
inch in ≡ 1/36 yd = 1/12 ft = 0.0254 m
league lea ≡ 3 mi = 4828.032 m
light-day   ≡ 24 light-hours = 2.590 206 837 12×1013 m
light-hour   ≡ 60 light-minutes = 1.079 252 848 8×1012 m
light-minute   ≡ 60 light-seconds = 1.798 754 748×1010 m
light-second   ≡ 2.997 924 58×108 m
light-year l.y. c0 × 86 400 × 365.25 = 9.460 730 472 580 8×1015 m
line ln ≡ 1/12 in (Klein 1988, 63) ≈ 0,00 002 116 667 m
link (Gunter's; Surveyor's) lnk ≡ 1/100 ch = 0.201 168 m
link (Ramsden's; Engineer's) lnk ≡ 1 ft = 0.3048 m
mickey   ≡ 1/200 in = 1.27×10−4 m
micron µ ≡ 1×10−6 m
mil; thou mil ≡ 1×10−3 in = 2.54×10−5 m
mil (Sweden and Norway) mil ≡ 10 km = 10000 m
mile mi ≡ 1760 yd = 5280 ft = 1609.344 m
mile (U.S. Survey) mi ≡ 5280 ft (US) = 5280 × 1200/3937 m ≈ 1609.347 219 m
nail (cloth)   ≡ 2 ¼ in = 0.000 571 5 m
nautical league NL; nl ≡ 3 nmi = 5556 m
nautical mile(international) NM; nmi ≡ 1852 m [3] 1852 m
nautical mile (Admiralty) NM (Adm); nmi (Adm) ≡ 6080 ft ≡ 1853.184 m
pace   ≡ 2.5 ft = 0.762 m
palm   ≡ 3 in = 0.000 762 m
parsec pc = 3.08567782 ×1016 ± 6×106 m [4]
point (ATA) pt ≡ 0.013837 in[citation needed] = 0.000 351 459 8 m
point (Didot; European) pt ≡ 0.000 376 065 m[citation needed]
point (metric) pt ≡ 3/8 mm = 0.000 375 m[citation needed]
point (PostScript) pt ≡ 1/72 in ≈ 0.000 352 778 m
quarter   ≡ ¼ yd = 0.2286 m
rod; pole; perch rd ≡ 16 ½ ft = 5.0292 m
rope rope ≡ 20 ft = 6.096 m
span   ≡ 6 in = 0.1524 m
span (cloth)   ≡ 9 in = 0.2286 m
spat[3] ≡ 1012 m = 1×1012 m
stick   ≡ 2 in = 0.05 08 m
stigma; pm   ≡ 1×10−12 m ≡ 1×10−12 m
telegraph mile mi ≡ 6087 ft = 1855.3176 m
twip twp ≡ 1/1440 in ≈ 1.763 889×10−5 m
x unit; siegbahn xu ≈ 1.0021×10−13 m
yard (International) yd ≡3 ft ≡ 36 in = 0.9144 m[2]

Area

Area
Name of unit Symbol Definition Relation to SI units
acre ac ≡ 10 sq ch = 4840 sq yd = 4046.856 422 4 m²
are a ≡ 100 m²
barn b ≡ 10−28
barony   ≡ 4000 ac = 1.618 742 568 96×107
board bd ≡ 1 in × 1 ft = 7.741 92×10−3
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
circular mil; circular thou circ mil ≡ π/4 mil² ≈ 5.067 075×10−10
cord   ≡ 192 bd = 1.486 448 64 m²
dunam   ≡ 1000 m² = 1000 m²
hectare ha ≡ 10 000 m² = 10 000 m²
hide   ≡ 100 ac = 4.046 856 422 4×105
rood ro ≡ ¼ ac = 1011.714 105 6 m²
shed ≡ 10−52
square chain sq ch ≡ 1 sq ch = 404.685 642 24 m²
square foot sq ft ≡ 1 ft × 1 ft = 9.290 304×10−2
square inch sq in ≡ 1 in × 1 in = 6.4516×10−4
square kilometre km² ≡ 1 km² = 106
square link sq lnk ≡ 1 lnk² = 4.046 856 422 4×10−2
square metre (SI unit) ≡ 1 m × 1 m = 1 m²
square mil; square thou sq mil ≡ 1 mil × 1 mil = 6.4516×10−10
square mile; section sq mi ≡ 1 mi × 1 mi = 2.589 988 110 336×106
square rod/pole/perch sq rd ≡ 1 sq rd = 25.292 852 64 m²
square U.S. Survey foot sq ft ≡ 1 sq ft (US) ≈ 9.290 341 161 327 49×10-2
square U.S. Survey mile sq mi ≡ 1 sq mi (US) ≈ 2.589 998×106
square yard sq yd ≡ 1 yd × 1 yd = 0.836 127 36 m²
stremma   ≡ 1000 m² = 1000 m²
township   ≡ 36 sq mi (US) ≈ 9.323 994×107
yardland   ≡ 30 ac = 1.214 056 926 72×105

Volume

Volume
Name of unit Symbol Definition Relation to SI units
acre foot ac ft ≡ 1 ac x 1 ft = 43560 ft³ = 1233.481 837 547 52 m³
cubic metre (SI unit) ≡ 1 m × 1 m × 1 m = 1 m³
litre L ≡ 1 dm³ [5] = 0.001 m³
lambda λ ≡ 1 mm³ = 1 ×10−9
drop (metric)   ≡ 1/20 mL = 5 ×10−9
minim (Imperial) min ≡ 1/480 fl oz (Imp) = 1/60 fl dr (Imp) ≈ 5.9 193 880 208 333 ×10−9
minim (U.S.) min ≡ 1/480 US fl oz = 1/60 US fl dr = 6.1 611 519 921 875 ×10−9
drop (U.S.) (alt) gtt ≡ 1/456 US fl oz ≈ 6.4 854 231 ×10−9
drop (Imperial) (alt) gtt ≡ 1/1824 gi (Imp) ≈ 7.7 886 684 ×10−9
drop (U.S.) gtt ≡ 1/360 US fl oz = 8.2 148 693 229 16 ×10−9
drop (medical)   ≡ 1/12 mL = 83 ×10−9
drop (Imperial) gtt ≡ 1/288 fl oz (Imp) = 9.8 656 467 0138 ×10−9
dash (U.S.)   ≡ 1/96 US fl oz = ½ US pinch = 0.0308 057 599 609 375 ×10−6
dash (Imperial)   ≡ 1/384 gi (Imp) = ½ pinch (Imp) = 0.0369 961 751 302 083 ×10−6
pinch (U.S.)   ≡ 1/48 US fl oz = ⅛ US tsp = 0.0616 115 199 218 75 ×10−6
pinch (Imperial)   ≡ 1/192 gi (Imp) = ⅛ tsp (Imp) = 0.0739 923 502 604 16 ×10−6
fluid scruple (Imperial) fl s ≡ 1/24 fl oz (Imp) = 0.1183 877 604 16 ×10−6
fluid drachm (Imperial) fl dr ≡ ⅛ fl oz (Imp) = 0.3551 632 812 5 ×10−6
fluid dram (U.S.); U.S. fluidram fl dr ≡ ⅛ US fl oz = 0.3696 691 195 312 5 ×10−6
teaspoon (Canadian) tsp ≡ 1/6 fl oz (Imp) ≈ 0.4735 510 416 667 ×10−6
teaspoon (U.S.) tsp ≡ 1/6 US fl oz = 0.4928 921 595 ×10−6
teaspoon (metric)   ≡ 0.5 ×10−6
teaspoon (Imperial) tsp ≡ 1/24 gi (Imp) = 0.5919 388 020 83 ×10−6
dessertspoon (Imperial)   ≡ 1/12 gi (Imp) = 1.1838 776 0416 ×10−6
tablespoon (Canadian) tbsp ≡ ½ fl oz (Imp) = 1.4206 531 25 ×10−6
tablespoon (U.S.) tbsp ≡ ½ US fl oz = 1.4786 764 782 5 ×10−6
tablespoon (metric)   ≡ 1.5 ×10−6
cubic inch cu in ≡ 1 in × 1 in × 1 in = 1.6387 064 ×10−5
tablespoon (Imperial) tbsp ≡ 5/8 fl oz (Imp) = 1.7758 164 0625 ×10−6
pony   ≡ 3/4 US fl oz = 2.218 014 717 187 5 ×10−6
fluid ounce (Imperial) fl oz (Imp) ≡ 1/160 gal (Imp) = 2.8413 062 5 ×10−6
fluid ounce (U.S.) US fl oz ≡ 1/128 gal (US) = 2.9573 529 5625 ×10−6
shot   ≡ 1 US fl oz = 2.9573 529 5625 ×10−6
jigger   ≡ 1½ US fl oz = 4.4360 294 343 75 ×10−6
gill (U.S.) gi (US) ≡ 4 US fl oz = 11.8294 118 25 ×10−6
gill (Imperial); Noggin gi (Imp); nog ≡ 5 fl oz (Imp) = 14.2065 312 5 ×10−6
cup (Canadian) c (CA) ≡ 8 fl oz (Imp) = 22.73045 ×10−6
cup (U.S.) c (US) ≡ 8 US fl oz ≡ 1/16 gal (US) = 23.6588 2365 ×10−6
cup (metric) c ≡ 25.0 ×10−6
breakfast cup   ≡ 10 fl oz (Imp) = 28.4130 625 ×10−6
pint (U.S. fluid) pt (US fl) ≡ ⅛ gal (US) = 47.3176 473 ×10−6
pint (U.S. dry) pt (US dry) ≡ 1/64 bu (US lvl) ≡ ⅛ gal (US dry) = 0.000 550 610 471 3575 m³
pint (Imperial) pt (Imp) ≡ ⅛ gal (Imp) = 0.000 568 261 25 m³
fifth   ≡ 1/5 US gal = 0.000 757 082 356 8 m³
quart (U.S. fluid) qt (US) ≡ ¼ gal (US fl) = 0.000 946 352 946 m³
quart (U.S. dry) qt (US) ≡ 1/32 bu (US lvl) = ¼ gal (US dry) = 0.001 101 220 942 715 m³
quart (Imperial) qt (Imp) ≡ ¼ gal (Imp) = 0.001 136 522 5 m³
pottle; quartern   ≡ ½ gal (Imp) = 80 fl oz (Imp) = 0.002 273 045 m³
board-foot fbm ≡ 144 cu in = 0.002 359 737 216 m³
gallon (U.S. fluid; Wine) gal (US) ≡ 231 cu in = 0.003 785 411 784 m³
gallon (U.S. dry) gal (US) ≡ ⅛ bu (US lvl) = 0.004 404 883 770 86 m³
gallon (Imperial) gal (Imp) = 0.004 546 09 m³
beer gallon beer gal ≡ 282 cu in = 0.004 621 152 048 m³
peck (U.S. dry) pk ≡ ¼ US lvl bu = 0.008 809 767 541 72 m³
peck (Imperial) pk ≡ 2 gal (Imp) = 0.009 092 18 m³
bucket (Imperial) bkt ≡ 4 gal (Imp) = 0.018 184 36 m³
timber foot   ≡ 1 cu ft = 0.028 316 846 592 m³
cubic foot cu ft ≡ 1 ft × 1 ft × 1 ft = 0.028 316 846 592 m³
firkin   ≡ 9 gal (US) = 0.034 068 706 056 m³
bushel (U.S. dry level) bu (US lvl) ≡ 2150.42 cu in = 0.035 239 070 166 88 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) = 0.044 048 837 708 6 m³
strike (U.S.)   ≡ 2 bu (US lvl) = 0.070 478 140 333 76 m³
strike (Imperial)   ≡ 2 bu (Imp) = 0.072 737 44 m³
kilderkin   ≡ 18 gal (Imp) = 0.081 829 62 m³
sack (U.S.)   ≡ 3 bu (US lvl) = 0.105 717 210 500 64 m³
sack (Imperial); bag   ≡ 3 bu (Imp) = 0.109 106 16 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
coomb   ≡ 4 bu (Imp) = 0.145 474 88 m³
barrel (petroleum) bl; bbl ≡ 42 gal (US) = 0.158 987 294 928 m³
barrel (Imperial) bl (Imp) ≡ 36 gal (Imp) = 0.163 659 24 m³
hogshead (U.S.) hhd (US) ≡ 2 fl bl (US) = 0.238 480 942 392 m³
seam   ≡ 8 bu (US lvl) = 0.281 912 561 335 04 m³
quarter; pail   ≡ 8 bu (Imp) = 0.290 949 76 m³
hogshead (Imperial) hhd (Imp) ≡ 2 bl (Imp) = 0.327 318 48 m³
cord-foot   ≡ 16 cu ft = 0.453 069 545 472 m³
butt, pipe   ≡ 126 gal (wine) = 0.476 961 884 784 m³
perch per ≡ 16½ ft × 1½ ft × 1 ft = 0.700 841 953 152 m³
cubic 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 m³
water ton   ≡ 28 bu (Imp) = 1.018 324 16 m³
freight ton   ≡ 40 cu ft = 1.132 673 863 68 m³
wey (U.S.)   ≡ 40 bu (US lvl) = 1.409 562 806 675 2 m³
load   ≡ 50 cu ft = 1.415 842 329 6 m³
register ton   ≡ 100 cu ft = 2.831 684 659 2 m³
last   ≡ 80 bu (Imp) = 2.909 497 6 m³
cord (firewood)   ≡ 8 ft × 4 ft × 4 ft = 3.624 556 363 776 m³
cubic fathom cu fm ≡ 1 fm × 1 fm × 1 fm = 6.116 438 863 872 m³
acre-inch   ≡ 1 ac × 1 in = 102.790 153 128 96 m³
cubic mile cu mi ≡ 1 mi × 1 mi × 1 mi = 4,168,181,825.440 579 584 m³

Angle

Angle
Name of unit Symbol Definition Relation to SI units
radian (SI unit) rad ≡ 180°/π 1 rad
centesimal second of arc " ≡ 1 grad/10000 ≈ 1.57 079 6×10−6 rad
arcsecond " ≡ 1°/3600 ≈ 4.84 813 7×10−6 rad
centesimal minute of arc ' ≡ 1 grad/100 ≈ 15.708 0×10−6 rad
minute of arc ' ≡ 1°/60 ≈ 29.088 8×10−6 rad
angular mil µ ≡ 2π/6400 rad ≈ 9.8174 8×10−4 rad
grad; gradian; gon grad ≡ 2π/400 rad = 0.9° ≈ 1.570 796 3×10−3 rad
degree (of arc) ° ≡ π/180 rad ≈ 1.745 329 3×10−3 rad
sign   ≡ 30° ≈ 0.523 599 rad
octant   ≡ 45° ≈ 0.785 398 rad
sextant   ≡ 60° ≈ 1.047 198 rad
quadrant   ≡ 90° ≈ 1.570 796 rad

Solid angle

Solid angle
Name of unit Symbol Definition Relation to SI units
steradian sr (SI derived unit)

Mass

Note: see Weight for detail of mass/weight distinction and conversion

Mass
Name of unit Symbol Definition Relation to SI units
kilogram, grave(SI base unit) kg; G = 1kg
electron rest mass me ≈ 9.109 381 88×10−31 ± 72×10−39 kg
atomic unit of mass amu[citation needed] ≡ me ≈ 9.109 381 88×10−31 ± 72×10−39 kg
unified atomic mass unit u ≈ 1.660 538 73×10−27 ± 13×10−35 kg
dalton Da ≈ 1.660 902 10×10−27 ± 13×10−35 kg
gamma γ ≡ 1 ×10-6 kg
point   ≡ 1/100 kt (metric) = 2 ×10-6 kg
mite   ≡ 1/20 gr = 3.239 945 5 ×10-6 kg
mite (metric)   ≡ 1/20 g = 50 ×10-6 kg
grain gr ≡ 64.798 91 ×10-6 kg
crith   ≈ 89.9349 ×10-6 kg
carat (metric) ct ≡ 200 ×10-6 kg
carat kt ≡ 3 1/6 gr ≈ 205.196 548 333 ×10-6 kg
sheet   ≡ 1/700 lb av = 647.9891 ×10-6 kg
scruple (apothecary) s ap ≡ 20 gr = 1.295 978 2 ×10-3 kg
pennyweight dwt; pwt ≡ 1/20 oz t = 1.555 173 84 ×10-3 kg
dram (avoirdupois) dr av ≡ 27 11/32 gr = 1.771 845 195 312 5 ×10-3 kg
dram (apothecary; troy) dr t ≡ 60 gr = 3.887 934 6 ×10-3 kg
hyl (CGS unit)   ≡ 1 gee × 1 g × 1 s²/m = 9.806 65 ×10-3 kg
ounce (avoirdupois) oz av ≡ 1/16 lb = 28.349 523 125 ×10-3 kg
assay ton (short) AT ≡ 1 mg × 1 sh tn ÷ 1 oz t ≈ 29.166 667 ×10-3 kg
ounce (apothecary; troy) oz t ≡ 1/12 lb t = 31.103 476 8 ×10-3 kg
assay ton (long) AT ≡ 1 mg × 1 long tn ÷ 1 oz t ≈ 32.666 667 ×10-3 kg
mark   ≡ 8 oz t = 248.827 814 4 ×10-3 kg
pound (troy) lb t ≡ 5760 grains = 0.373 241 721 6 kg
pound (avoirdupois) lb av ≡ 7000 grains = 0.453 592 37 kg
pound (metric)   ≡ 0.5 kg
clove   ≡ 8 lb av = 3.628 738 96 kg
stone st ≡ 14 lb av = 6.350 293 18 kg
hyl (MKS unit)   ≡ 1 gee × 1 kg × 1 s²/m = 9.806 65 kg
quarter (Imperial)   ≡ 1/4 long cwt = 2 st = 28 lb av = 12.700 586 36 kg
slug; geepound slug ≡ 1 gee × 1 lb av × 1 s²/ft ≈ 14.593 903 kg
bag (Portland cement)   ≡ 94 lb av = 42.637 682 78 kg
short hundredweight; cental sh cwt ≡ 100 lb av = 45.359 237 kg
long hundredweight long cwt or cwt ≡ 112 lb av = 50.802 345 44 kg
bag (coffee) ≡ 60 kg = 60 kg
quintal (metric) q ≡ 100 kg
wey   ≡ 252 lb = 18 st (variants exist) = 114.305 277 24 kg
long quarter (informal)   ≡ ¼ long tn = 254.011 727 2 kg
quarter (informal)   ≡ ¼ short tn = 226.796 185 kg
kip kip ≡ 1000 lb av = 453.592 37 kg
short ton sh tn ≡ 2000 lb = 907.184 74 kg
tonne (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 [6] and [7]. 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 (SI base unit) s = 1 s
Planck time   ≡ (G/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 = 100×10-13 s
shake   ≡ 10−8 s = 10×10-8 s
sigma   ≡ 10−6 s = 10×10-6 s
jiffy   ≡ 1/60 s ≈ .016667 s
jiffy (alternate)   ≡ 1/100 s = 10 ms
helek   ≡ 1/1080 h ≈ 3.333333 s
minute min ≡ 60 s
milliday md ≡ 86 400 s / 1000 ≡ 86.4 s
moment   ≡ 90 s ≡ 90 s
ke(traditional)   ≡ 1/100 d ≡ 864 s
quarter (of an hour) ke ≡ 1/96 d ≡ 900 s
hour h ≡ 60 min = 3600 s
day d ≡ 24 h = 86 400 s
week wk ≡ 7 d = 604 800 s
fortnight   ≡ 2 wk = 1 209 600 s
month (hollow) mo ≡ 29 d = 2 505 600 s
month mo ≡ 30 d = 2 592 000 s
month (full) mo ≡ 31 d = 2 678 400 s
year (Calendar) a, y, or yr ≡ 365 d = 31 536 000 s
year (Gregorian) a, y, or yr ≡ 365.2425 d = 31 556 952 s
year (Julian) a, y, or yr ≡ 365.25 d = 31 557 600 s
sidereal year a, y, or yr ≡ 365.256363 d = 31 558 149.76 s
Olympiad   ≡ 4 a of 365 d = 1.2614×108 s
lustre; lustrum   ≡ 5 a of 365 d = 1.5768×108 s
octaeteris   ≡ 8 a of 365 d = 2.522 88×108 s
decade   ≡ 10 a of 365 d = 3.1536×108 s
enneadecaeteris; Metonic cycle   ≡ 110 mo (hollow) + 125 mo (full) = 19 a of 365 d = 5.996 16×108 s
Callippic cycle   ≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d = 2.398 377 6×109 s
century (Calendar)   ≡ 100 a of 365 d = 3.1536×109 s
century (Julian)   ≡ 100 a of 365.25 d = 3.155 76×109 s
Hipparchic cycle   ≡ 4 Callippic cycles - 1 d = 9.593 424×109 s
millennium (Calendar)   ≡ 1000 a of 365 d = 3.1536×1010 s
millennium (Gregorian)   ≡ 1000 a of 365.2425 d = 3.155 695 2×1010 s
millennium (Julian)   ≡ 1000 a of 365.25 d = 3.155 76×1010 s
Sothic cycle   ≡ 1461 a of 365 d = 4.607 409 6×1010 s

Speed or velocity

Speed
Name of unit Symbol Definition Relation to SI units
metre per second (SI unit) m/s ≡ 1 m/s
foot per hour fph ≡ 1 ft/h ≈ 8.466 667×10−5 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
foot per minute fpm ≡ 1 ft/min = 5.08×10−3 m/s
inch per second ips ≡ 1 in/s = 2.54×10−2 m/s
kilometre per hour km/h ≡ 1 km/h ≈ 2.777 778×10−2 m/s
foot per second fps ≡ 1 ft/s = 3.048×10−1 m/s
mile per hour mph ≡ 1 mi/h = 0.447 04 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 ≈ 0.514 773 m/s
mile per minute mpm ≡ 1 mi/min = 26.8224 m/s
mile per second mps ≡ 1 mi/s = 1.609 344 km/s = 1609.344 m/s
speed of light in vacuum c ≡ 2.997 924 58×108 m/s = 2.997 924 58×108 m/s
speed of sound in air s ≡ 770 mph = 1230 km/h ≈ 344 m/s
mach M ≡ 331 m/s ≈ 331 m/s

A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.

Acceleration

Acceleration
Name of unit Symbol Definition Relation to SI units
metre per second squared (SI unit) m/s² ≡ 1 m/s² = 1 m/s²
foot per hour per second fph/s ≡ 1 ft/(h·s) ≈ 8.466 667×10−5 m/s²
inch per minute per second ipm/s ≡ 1 in/(min·s) ≈ 4.233 333×10−4 m/s²
foot per minute per second fpm/s ≡ 1 ft/(min·s) = 5.08×10−3 m/s²
galileo Gal ≡ 1 cm/s² = 10−2 m/s²
inch per second squared ips² ≡ 1 in/s² = 2.54×10−2 m/s²
foot per second squared fps² ≡ 1 ft/s² = 3.048×10−1 m/s²
mile per hour per second mph/s ≡ 1 mi/(h·s) = 4.4704×10−1 m/s²
knot per second kn/s ≡ 1 kn/s ≈ 5.144 444×10−1 m/s²
standard gravity g ≡ 9.806 65 m/s²
mile per minute per second mpm/s ≡ 1 mi/(min·s) = 26.8224 m/s²
mile per second squared mps² ≡ 1 mi/s² = 1.609 344×103 m/s²

Force

Force
Name of unit Symbol Definition Relation to SI units
newton (SI unit) N ≡ kg·m/s² = 1 N
atomic unit of force au ≡ me·α²·c²/a0 ≈ 8.238 722 241×10−8 N
dyne (cgs unit) dyn ≡ g·cm/s² = 10−5 N
milligrave-force, gravet-force mGf; gf g × 1 g = 9.806 65 mN
poundal pdl ≡ 1 lb·ft/s² = 0.138 254 954 376 N
ounce-force ozf g × 1 oz = 0.278 013 850 953 781 2 N
pound-force lbf g × 1 lb = 4.448 221 615 260 5 N
kilogram-force; kilopond; grave-force kgf; kp; Gf g × 1 kg = 9.806 65 N
sthene (mts unit) sn ≡ 1 t·m/s² = 1 ×10−3 N
kip; kip-force kip; kipf; klbf g × 1000 lb = 4.448 221 615 260 5 ×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 [8]
atmosphere (technical) at ≡ 1 kgf/cm² = 98.0665 ×10−3 Pa [8]
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 ×10−3 Pa [8]
centimetre of water (4 °C) cmH2O ≈ 999.972 kg/m³ × 1 cm × g ≈ 98.0638 Pa [8]
foot of mercury (conventional) ftHg ≡ 13 595.1 kg/m³ × 1 ft × g ≈ 40.636 66 ×10−3 Pa [8]
foot of water (39.2 °F) ftH2O ≈ 999.972 kg/m³ × 1 ft × g ≈ 2.988 98 ×10−3 Pa [8]
inch of mercury (conventional) inHg ≡ 13 595.1 kg/m³ × 1 in × g ≈ 3.386 389 ×10−3 Pa [8]
inch of water (39.2 °F) inH2O ≈ 999.972 kg/m³ × 1 in × g ≈ 249.082 Pa [8]
kilogram-force per square millimetre kgf/mm² ≡ 1 kgf/mm² = 9.806 65 ×10−6 Pa [8]
kip per square inch ksi ≡ 1 kipf/sq in ≈ 6.894757 ×106 Pa [8]
millimetre of mercury mmHg ≡ 13 595.1 kg/m³ × 1 mm × g ≈ 1 torr ≈ 133.322 4 Pa [8]
millimetre of water (3.98 °C) mmH2O ≈ 999.972 kg/m³ × 1 mm × g = 0.999972 kgf/m² = 9.806 38 Pa
pascal (SI unit) Pa ≡ N/m² = kg/(m·s²) = 1 Pa [9]
pièze (mts unit) pz ≡ 1000 kg/m·s² = 1 ×10−3 Pa
pound per square foot psf ≡ 1 lbf/ft² ≈ 47.880 25 Pa [8]
poundal per square foot pdl/sq ft ≡ 1 pdl/sq ft ≈ 1.488 164 Pa [8]
pound per square inch psi ≡ 1 lbf/in² ≈ 6.894 757 ×10+3 Pa [8]
short ton per square foot   ≡ 1 sh tn × g / 1 sq ft ≈ 95.760 518 ×10+3 Pa
torr torr ≡ 101 325/760 Pa ≈ 133.322 4 Pa [8]

Torque

Torque
Name of unit Symbol Definition Relation to SI units
Newton metre (SI unit) N·m ≡ N × m = kg·m²/s² = 1 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 = 0.112 984 829 027 616 7 N·m
foot-pound force ft lbf g × 1 lb × 1 ft = 1.355 817 948 331 400 4 N·m

Energy

Energy
Name of unit Symbol Definition Relation to SI units
joule (SI unit) J ≡ m·N = W·s = V·A·s = kg·m²/s² = 1 J
electronvolt eV e × 1 V ≈ 1.602 176×10−19 J
rydberg Ry R··c ≈ 2.179 872×10−18 J
hartree Eh ≡ me·α²·c² (= 2 Ry) ≈ 4.359 744×10−18 J
atomic unit of energy au ≡ Eh ≈ 4.359 744×10−18 J
erg (cgs unit) erg ≡ 1 g·cm²/s² = 10−7 J
foot-poundal ft pdl ≡ 1 lb·ft²/s² = 4.214 011 009 380 48×10−2 J
cubic centimetre of atmosphere; standard cubic centimetre cc atm; scc ≡ 1 atm × 1 cm³ = 0.101 325 J
inch-pound force in lbf g × 1 lb × 1 in = 0.112 984 829 027 616 7 J
foot-pound force ft lbf g × 1 lb × 1 ft = 1.355 817 948 331 400 4 J
calorie (20 °C) cal20 °C ≈ 4.1819 J
calorie (thermochemical) calth ≡ 4.184 J
calorie (15 °C) cal15 °C ≡ 4.1855 J
calorie (International Table) calIT ≡ 4.1868 J
calorie (mean) calmean ≈ 4.190 02 J
calorie (3.98 °C) cal3.98 °C ≈ 4.2045 J
kilocalorie; large calorie kcal; Cal ≡ 1000 calIT = 4.1868 ×103 J
litre-atmosphere l atm; sl ≡ 1 atm × 1 L = 101.325 J
gallon-atmosphere (US) US gal atm ≡ 1 atm × 1 gal (US) = 383.556 849 013 8 J
gallon-atmosphere (imperial) imp gal atm ≡ 1 atm × 1 gal (imp) = 460.632 569 25 J
British thermal unit (thermochemical) BTUth ≈ 1.054 350 ×103 J
British thermal unit (ISO) BTUISO ≡ 1.0545 ×103 J
British thermal unit (63 °F) BTU63 °F ≈ 1.0546 ×103 J
British thermal unit (60 °F) BTU60 °F ≈ 1.054 68 ×103 J
British thermal unit (59 °F) BTU59 °F ≡ 1.054 804 ×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 (39 °F) BTU39 °F ≈ 1.059 67 ×103 J
Celsius heat unit (International Table) CHUIT ≡ 1 BTUIT × 1 K/°R = 1.899 100 534 716 ×103 J
cubic foot of atmosphere; standard cubic foot cu ft atm; scf ≡ 1 atm × 1 ft³ = 2.869 204 480 934 4 ×103 J
cubic yard of atmosphere; standard cubic yard cu yd atm; scy ≡ 1 atm × 1 yd³ = 77.468 520 985 228 8 ×103 J
cubic foot of natural gas   ≡ 1000 BTUIT = 1.055 055 852 62 ×106 J
horsepower-hour hp·h ≡ 1 hp × 1 h = 2.684519537696172792 ×106 J
kilowatt-hour; Board of Trade Unit kW·h; B.O.T.U. ≡ 1 kW × 1 h = 3.6 ×106 J
thermie th ≡ 1 McalIT = 4.1868 ×106 J
therm (U.S.)   ≡ 100 000 BTU59 °F = 105.4804 ×106 J
therm (E.C.)   ≡ 100 000 BTUIT = 105.505 585 262 ×106 J
ton of TNT tTNT ≡ 1 Gcalth = 4.184 ×109 J
barrel of oil equivalent bboe ≈ 5.8 MBTU59 °F ≈ 6.12 ×109 J
ton of coal equivalent TCE ≡ 7 Gcalth = 29.3076 ×109 J
ton of oil equivalent TOE ≡ 10 Gcalth = 41.868 ×109 J
quad   ≡ 1015 BTUIT = 1.055 055 852 62×1018 J


Subscript textSuperscript text
===Power===

Power
Name of unit Symbol Definition Relation to SI units
watt (SI unit) W ≡ J/s = N·m/s = kg·m²/s³ = 1 W
lusec lusec ≡ 1 L·µmHg/s [10] ≈ 1.333×10−4 W
foot-pound-force per hour ft lbf/h ≡ 1 ft lbf/h ≈ 3.766 161×10−4 W
atmosphere cubic centimetre per minute atm ccm ≡ 1 atm × 1 cm³/min = 1.688 75×10−3 W
foot-pound-force per minute ft lbf/min ≡ 1 ft lbf/min = 2.259 696 580 552 334×10−2 W
atmosphere–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 W
calorie (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 W
horsepower (metric) hp ≡ 75 m kgf/s = 735.498 75 W
horsepower (European electrical) hp ≡ 75 kp·m/s = 736 W
horsepower (Imperial mechanical) hp ≡ 550 ft lbf/s = 745.699 871 582 270 22 W
horsepower (Imperial electrical) hp ≡ 746 W
ton of air conditioning   ≡ 1 t × 1005 J/kg × 1 °R/K ÷ 10 min ≈ 844.2 W
poncelet p ≡ 100 m kgf/s = 980.665 W
BTU (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
boiler horsepower bhp ≈ 34.5 lb/h × 970.3 BTUIT/lb ≈ 9.810 657×103 W

Angular momentum

Action, Angular momentum
Name of unit Symbol Definition Relation to SI units
SI unit J·s ≡ kg·m²/s = 1 J·s
atomic unit of action au = /2π ≈ 1.054 571 596×10−34 J·s
cgs unit erg·s = 10−7 J·s

Electric current

Electric current
Name of unit Symbol Definition Relation to SI units
ampere(SI base unit) A 1 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

Electric charge

Electric charge
Name 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

Electromotive force

Voltage, Electromotive force
Name of unit Symbol Definition Relation to SI units
volt (SI unit) V ≡ kg·m²/(A·s³) = 1 V
abvolt (cgs unit) abV ≡ 1×10−8 V
statvolt (cgs unit) statV c· (1 μJ/A·m) = 299.792 458 V

Electrical resistance

Electrical resistance
Name of unit Symbol Definition Relation to SI units
ohm (SI unit) Ω ≡ V/A = kg·m²/(A²·s³)

Inductance

Inductance
Name of unit Symbol Definition Relation to SI units
henry (SI unit) H ≡ (m²×kg)/(s²×A²) = (V×s)/A = (J×s²)/C² = (m²×kg)/C² = 1 H

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

Kinematic viscosity

Kinematic viscosity
Name of unit Symbol Definition Relation to SI units
SI unit m²/s ≡ m²/s = 1 m²/s
stokes (cgs unit) St ≡ 10−4 m²/s

Information entropy

Information entropy
Name of unit Symbol Definition Relation to SI units
SI unit J/K ≡ J/K = 1 J/K
nat; nip; nepit nat kB = 1.3806505(23) × 10−23 J/K
bit; shannon bit; b; Sh ≡ ln(2) × kB = 9.569940(16) × 10−24 J/K
ban; hartley ban; Hart ≡ ln(10) × kB = 3.1790653(53) × 10−23 J/K
nibble ≡ 4 bits = 3.8279760(64) × 10−23 J/K
byte B ≡ 8 bits = 7.655952(13) × 10−23 J/K
kilobyte (decimal) kB ≡ 1000 B = 7.655952(13) × 10−20 J/K
kilobyte (kibibyte) KB; KiB ≡ 1024 B = 7.839695(13) × 10−20 J/K

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

Temperature
Name of unit Symbol Definition Relation to SI units
kelvin (SI base unit) K 1 K
degree Celsius °C [K] = [°C] + 273.15
degree Rankine °R; °Ra [K] = [°R] × 5⁄9
degree Fahrenheit °F [K] = ([°F] + 459.67) × 5⁄9
degree Delisle °De [K] = 373.15 − [°De] × 2⁄3
degree Newton °N [K] = [°N] × 100⁄33 + 273.15
degree Réaumur °Ré [K] = [°Ré] × 5⁄4 + 273.15
degree Rømer °Rø [K] = ([°Rø] − 7.5) × 40⁄21 + 273.15

Radioactivity

Radioactivity
Name of unit Symbol Definition Relation to SI units
Becquerel (SI base unit) Bq ≡ disintegration per second s-1 = 1 Bq
Rutherford rd ≡ 1 MBq = 1 * 106 Bq
curie Ci ≡ 3.7 * 1010 Bq = 3.7 * 1010 Bq[11]

Radioactivity - absorbed dose

Radioactivity - absorbed dose
Name of unit Symbol Definition Relation to SI units
Gray (SI base unit) Gy ≡ 1gy = 1J/s = 1m2s-2 = 1 Gy
Rad rad ≡ 0.01 Gy = 0.01 Gy

Radioactivity - equivalent dose

Radioactivity - equivalent dose
Name of unit Symbol Definition Relation to SI units
Sievert (SI base unit) Sv = 1 Sv
Röntgen equivalent man rem ≡ 0.01 Sv = 0.01 Sv

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

References

  1. "NIST Reference on Constants, Units, and Uncertainty."(2006). National Institute of Standards and Technology. Accessed 22 February 2008.
  2. 2.0 2.1 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.
  3. International System of Units, 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
  4. P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.
  5. 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".
  6. 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 !"
  7. Rowlett, Russ. A Dictionary of Units of Measurement. Viewed October 14, 2006 at http://www.unc.edu/~rowlett/units/dictZ.html
  8. 8.00 8.01 8.02 8.03 8.04 8.05 8.06 8.07 8.08 8.09 8.10 8.11 8.12 8.13 8.14 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.
  9. 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.
  10. Russ Rowlett. (2005). How Many: A Dictionary of Units of Measure. Viewed 5 November 2006 at http://www.unc.edu/~rowlett/units/
  11. 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.
  • Klein, Herbert. 1988. The science of measurement: A historical survey. New York: Dover Publications.

See also

Template:Systems of measurement

External links

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