Tables of conversion factors

Legend

Legend

definition

=

exactly equal to

approximately equal to

(digits)

indicates the digits repeat infinitely



Length

Length, l

Name of unit

Symbol

Definition

Relation to SI units

angstrom

Å

 

≡ 1.000×10−10 m = 0.1 nm

astronomical unit

AU

Mean distance from Earth to the Sun

= 149 597 870.691 ± 0.030 km

atomic unit of length

au

≡ a0

≈ 5.291 772 083×10−11 ± 19×10−20 m

barley corn

 

≡ 1/3 in

≈ 8.466 667 mm

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 NM

= 185.2 m

cable length (U.S.)

 

≡ 720 ft

= 219.456 m

calibre

cal

≡ 1 in

= 25.4 mm

chain (Gunter's; Surveyor's)

ch

≡ 66 ft

= 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

≈ 1/1000 NM

= 1.852 m

fermi

fm

≡ 1.000×10−15 m

= 1.000×10−15 m

finger

 

≡ 7/8 in

= 22.225 mm

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

≡ 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 [1]

≈ 0.304 800 610 m

furlong

fur

≡ 660 ft

= 201.168 m

geographical mile

mi

≡ 6082 ft

= 1853.7936 m

hand

 

≡ 4 in

= 0.1016 m

inch

in

≡ 1/36 yd

= 25.4 mm

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)

≈ 2.116 667 mm

link (Gunter's; Surveyor's)

lnk

≡ 1/100 ch

= 0.201 168 m

link (Ramsden's; Engineer's)

lnk

≡ 1 ft

= 0.3048 m

metre (SI base unit)

m

≡ 1 m

= 1 m

mickey

 

≡ 1/200 in

= 1.27×10−4 m

micron

µ

 

≡ 1.000×10−6 m

mil; thou

mil

≡ 1.000×10−3 in

= 2.54×10−5 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

= 57.15 mm

nautical league

NL; nl

≡ 3 NM

= 5556 m

nautical mile

NM; nm

 

≡ 1852 m

nautical mile (Admiralty)

NM (Adm); nm (Adm)

≡ 6080 ft

= 1853.184 m

pace

 

≡ 2.5 ft

= 0.762 m

palm

 

≡ 3 in

= 76.2 mm

parsec

pc

≈ 180 × 60 × 60/π AU

≈ 206 264.806 25 AU
= 3.261 563 776 9 ± 6 ×10−10 light-years

= 3.085 677 581 3×1016 ± 6×106 m

point (ATA)

pt

≡ 0.013837 in

= 0.351 459 8 mm

point (Didot; European)

pt

 

≡ 0.376 065 mm

point (metric)

pt

≡ 3/8 mm

= 0.375 mm

point (PostScript)

pt

≡ 1/72 in

≈ 0.352 778 mm

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[citation needed]

S

≡ 1012 m

= 1 Tm

stick

 

≡ 2 in

= 50.8 mm

stigma; pm

 

≡ 1.000×10−12 m

≡ 1.000×10−12 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 ≡ 0.9144 m [1]

= 0.9144 m

Area

Area, A

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 in²

≈ 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

= 0.01 km²

hide

 

≡ 100 ac

= 4.046 856 422 4×105

rood

ro

≡ ¼ ac

= 1011.714 105 6 m²

square chain

sq ch

≡ 1 ch²

= 404.685 642 24 m²

square foot

sq ft

≡ 1 ft²

= 9.290 304×10−2

square inch

sq in

≡ 1 in²

= 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 mil²

= 6.4516×10−10

square mile; section

sq mi

≡ 1 mi²

= 2.589 988 110 336×106

square rod/pole/perch

sq rd

≡ 1 rd²

= 25.292 852 64 m²

square U.S. Survey mile

sq mi

≡ 1 mi (US)²

≈ 2.589 998×106

square yard

sq yd

≡ 1 yd²

= 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, V

Name of unit

Symbol

Definition

Relation to SI units

cubic metre (SI unit)

≡ 1 m × 1 m × 1 m

 

litre

L

 

≡ 1 dm³

lambda

λ

≡ 1 mm³

= 1 μL

drop (metric)

 

≡ 1/20 mL

= 0.05 mL

minim (Imperial)

min

≡ 1/480 fl oz (Imp) = 1/60 fl dr (Imp)

≈ 0.059 193 880 208 333 mL

minim (U.S.)

min

≡ 1/480 US fl oz = 1/60 US fl dr

= 0.061 611 519 921 875 mL

drop (U.S.) (alt)

gtt

≡ 1/456 US fl oz

≈ 0.064 854 231 mL

drop (Imperial) (alt)

gtt

≡ 1/1824 gi (Imp)

≈ 0.077 886 684 mL

drop (U.S.)

gtt

≡ 1/360 US fl oz

= 0.082 148 693 229 1(6) mL

drop (medical)

 

≡ 1/12 mL

= 0.08(3) mL

drop (Imperial)

gtt

≡ 1/288 fl oz (Imp)

= 0.098 656 467 013 (8) mL

dash (U.S.)

 

≡ 1/96 US fl oz = ½ US pinch

= 0.308 057 599 609 375 mL

dash (Imperial)

 

≡ 1/384 gi (Imp) = ½ pinch (Imp)

= 0.369 961 751 302 08(3) mL

pinch (U.S.)

 

≡ 1/48 US fl oz = ⅛ US tsp

= 0.616 115 199 218 75 mL

pinch (Imperial)

 

≡ 1/192 gi (Imp) = ⅛ tsp (Imp)

= 0.739 923 502 604 1(6) mL

fluid scruple (Imperial)

fl s

≡ 1/24 fl oz (Imp)

= 1.183 877 604 1(6) mL

fluid drachm (Imperial)

fl dr

≡ ⅛ fl oz (Imp)

= 3.551 632 812 5 mL

fluid dram (U.S.); U.S. fluidram

fl dr

≡ ⅛ US fl oz

= 3.696 691 195 312 5 mL

teaspoon (Canadian)

tsp

≡ 1/6 fl oz (Imp)

≈ 4.735 510 416 667 mL

teaspoon (U.S.)

tsp

≡ 1/6 US fl oz

= 4.928 921 595 mL

teaspoon (metric)

 

 

≡ 5 mL

teaspoon (Imperial)

tsp

≡ 1/24 gi (Imp)

= 5.919 388 020 8(3) mL

dessertspoon (Imperial)

 

≡ 1/12 gi (Imp)

= 11.838 776 041 (6) mL

tablespoon (Canadian)

tbsp

≡ ½ fl oz (Imp)

= 14.206 531 25 mL

tablespoon (U.S.)

tbsp

≡ ½ US fl oz

= 14.786 764 782 5 mL

tablespoon (metric)

 

 

≡ 15 mL

cubic inch

cu in

≡ 1 in³

= 16.387 064 mL

tablespoon (Imperial)

tbsp

≡ 5/8 fl oz (Imp)

= 17.758 164 062 5 mL

pony

 

≡ 3/4 US fl oz

= 22.180 147 171 875 mL

fluid ounce (Imperial)

fl oz (Imp)

≡ 1/160 gal (Imp)

= 28.413 062 5 mL

fluid ounce (U.S.)

fl oz (US)

≡ 1/128 gal (US)

= 29.573 529 562 5 mL

shot

 

≡ 1 US fl oz

= 29.573 529 562 5 mL

jigger

 

≡ 1½ US fl oz

= 44.360 294 343 75 mL

gill (U.S.)

gi (US)

≡ 4 US fl oz

= 118.294 118 25 mL

gill (Imperial); Noggin

gi (Imp); nog

≡ 5 fl oz (Imp)

= 142.065 312 5 mL

cup (Canadian)

c (CA)

≡ 8 fl oz (Imp)

= 227.3045 mL

cup (U.S.)

c (US)

≡ 8 US fl oz ≡ 1/16 gal (US)

= 236.588 236 5 mL

cup (metric)

c

 

≡ 250 mL

breakfast cup

 

≡ 10 fl oz (Imp)

= 284.130 625 mL

pint (U.S. fluid)

pt (US fl)

≡ ⅛ gal (US)

= 473.176 473 mL

pint (U.S. dry)

pt (US dry)

≡ 1/64 bu (US lvl) ≡ ⅛ gal (US dry)

= 0.550 610 471 357 5 L

pint (Imperial)

pt (Imp)

≡ ⅛ gal (Imp)

= 0.568 261 25 L

fifth

 

≡ 1/5 US gal

= 0.757 082 356 8 L

quart (U.S. fluid)

qt (US)

≡ ¼ gal (US fl)

= 0.946 352 946 L

quart (U.S. dry)

qt (US)

≡ 1/32 bu (US lvl) = ¼ gal (US dry)

= 1.101 220 942 715 L

quart (Imperial)

qt (Imp)

≡ ¼ gal (Imp)

= 1.136 522 5 L

pottle; quartern

 

≡ ½ gal (Imp) = 80 fl oz (Imp)

= 2.273 045 L

board-foot

fbm

≡ 144 cu in

= 2.359 737 216 L

gallon (U.S. fluid; Wine)

gal (US)

≡ 231 cu in

= 3.785 411 784 L

gallon (U.S. dry)

gal (US)

≡ ⅛ bu (US lvl)

= 4.404 883 770 86 L

gallon (Imperial)

gal (Imp)

= 4.546 09 L

beer gallon

beer gal

≡ 282 cu in

= 4.621 152 048 L

peck (U.S. dry)

pk

≡ ¼ US lvl bu

= 8.809 767 541 72 L

peck (Imperial)

pk

≡ 2 gal (Imp)

= 9.092 18 L

bucket (Imperial)

bkt

≡ 4 gal (Imp)

= 18.184 36 L

timber foot

 

≡ 1 cu ft

= 28.316 846 592 L

cubic foot

cu ft

≡ 1 ft × 1 ft × 1 ft

= 28.316 846 592 L

firkin

 

≡ 9 gal (US)

= 34.068 706 056 L

bushel (U.S. dry level)

bu (US lvl)

≡ 2150.42 cu in

= 35.239 070 166 88 L

bushel (Imperial)

bu (Imp)

≡ 8 gal (Imp)

= 36.368 72 L

bushel (U.S. dry heaped)

bu (US)

≡ 1 ¼ bu (US lvl)

= 44.048 837 708 6 L

strike (U.S.)

 

≡ 2 bu (US lvl)

= 70.478 140 333 76 L

strike (Imperial)

 

≡ 2 bu (Imp)

= 72.737 44 L

kilderkin

 

≡ 18 gal (Imp)

= 81.829 62 L

sack (U.S.)

 

≡ 3 bu (US lvl)

= 105.717 210 500 64 L

sack (Imperial); bag

 

≡ 3 bu (Imp)

= 109.106 16 L

barrel (U.S. dry)

bl (US)

≡ 105 qt (US) = 105/32 bu (US lvl)

= 115.628 198 985 075 L

barrel (U.S. fluid)

fl bl (US)

≡ 31½ gal (US)

= 119.240 471 196 L

coomb

 

≡ 4 bu (Imp)

= 145.474 88 L

barrel (petroleum)

bl

≡ 42 gal (US)

= 158.987 294 928 L

barrel (Imperial)

bl (Imp)

≡ 36 gal (Imp)

= 163.659 24 L

hogshead (U.S.)

hhd (US)

≡ 2 fl bl (US)

= 238.480 942 392 L

seam

 

≡ 8 bu (US lvl)

= 281.912 561 335 04 L

quarter; pail

 

≡ 8 bu (Imp)

= 290.949 76 L

hogshead (Imperial)

hhd (Imp)

≡ 2 bl (Imp)

= 327.318 48 L

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

acre-foot

 

≡ 1 ac × 1 ft

= 1233.481 837 547 52 m³

cubic mile

cu mi

≡ 1 mi³

= 4.168 181 825 440 579 584 km³

Angle

Angle

Name of unit

Symbol

Definition

Relation to SI units

radian (SI unit)

rad

 

≡ 1 rad

centesimal second of arc

"

≡ 1 gr/10000

≈ 1.570 796 µrad

arcsecond

"

≡ 1°/3600

≈ 4.848 137 µrad

centesimal minute of arc

'

≡ 1 gr/100

≈ 0.157 080 mrad

minute of arc

'

≡ 1°/60

≈ 0.290 888 mrad

angular mil

µ

≡ 2π/6400 rad

≈ 0.981 748 mrad

grad; gradian; gon

gr

≡ 2π/400 rad = 0.9°

≈ 15.707 963 mrad

degree (of arc)

°

≡ π/180 rad

≈ 17.453 293 mrad

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

Mass, m

Name of unit

Symbol

Definition

Relation to SI units

Relation to avoirdupois units

kilogram, grave

kg; G

 

(SI base unit)

 

electron rest mass

me

 

≈ 9.109 381 88×10−31 ± 72×10−39 kg

 

atomic unit of mass

au

≡ me

≈ 9.109 381 88×10−31 ± 72×10−39 kg

 

unified atomic mass unit

amu

 

≈ 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 μg

 

point

 

≡ 1/100 kt (metric)

= 2 mg

 

mite

 

≡ 1/20 gr

= 3.239 945 5 mg

 

mite (metric)

 

≡ 1/20 g

= 50 mg

 

grain

gr

 

≡ 64.798 91 mg

 

crith

 

 

≈ 89.9349 mg

 

carat (metric)

kt

 

≡ 200 mg

 

carat

kt

≡ 3 1/6 gr

≈ 205.196 548 333 mg

 

sheet

 

≡ 1/700 lb av

= 647.9891 mg

 

scruple (avoirdupois)

s av

≡ 20 gr

= 1.295 978 2 g

 

pennyweight

dwt; pwt

≡ 1/20 oz t

= 1.555 173 84 g

 

dram (avoirdupois)

dr av

≡ 27 11/32 gr

= 1.771 845 195 312 5 g

 

dram (apothecary; troy)

dr t

≡ 60 gr

= 3.887 934 6 g

 

hyl (CGS unit)

 

≡ 1 gee × 1 g × 1 s²/m

= 9.806 65 g

 

ounce (avoirdupois)

oz av

≡ 1/16 lb

= 28.349 523 125 g

 

assay ton (short)

AT

≡ 1 mg × 1 sh tn ÷ 1 oz t

≈ 29.166 667 g

 

ounce (apothecary; troy)

oz t

≡ 1/12 lb t

= 31.103 476 8 g

 

assay ton (long)

AT

≡ 1 mg × 1 long tn ÷ 1 oz t

≈ 32.666 667 g

 

mark

 

≡ 8 oz t

= 248.827 814 4 g

 

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)

 

 

≡ 500 g

 

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

= 114.305 277 24 kg (variants exist)

 

long quarter

 

≡ ¼ long tn

= 254.011 727 2 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 [2] and [3]. 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

 

(SI base unit)

Planck time

 

≡ √(G/c5)

≈ 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 fs

shake

 

≡ 10−8 s

= 10 ns

sigma

 

≡ 10−6 s

= 1 μs

jiffy

 

≡ 1/60 s

≈ 16.666 667 ms

jiffy (alternate)

 

≡ 1/100 s

≈ 10 ms

helek

 

≡ 1/1080 h

≈ 3.333333 s

minute

min

 

≡ 60 s

moment

 

≡ 90 s

≡ 90 s

ke(traditional)

 

≡ 1/100 d

≡ 864 s

quarter (of an h)

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 or y

≡ 365 d

= 31 536 000 s

year (Gregorian)

a or y

≡ 365.2425 d

= 31 556 952 s

year (Julian)

a or y

≡ 365.25 d

= 31 557 600 s

sidereal year

a or y

≡ 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

Speed, v

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

 

≡ ½ fur/wk

≈ 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

≈ 2.777 778×10−1 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

speed of light in vacuum

c

≡ 2.997 924 58×108 m/s

 

Acceleration

Acceleration, a

Name of unit

Symbol

Definition

Relation to SI units

metre per second squared (SI unit)

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, F

Name of unit

Symbol

Definition

Relation to SI units

newton (SI unit)

N

≡ kg·m/s²

 

atomic unit of force

au

≡ me·α²·c²/a0

≈ 8.238 722 241×10−8 N

dyne (cgs unit)

dyn

≡ g·cm/s²

ljm = 10−5 N

milligrave-force, gravet

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 kN

kip; kip-force

kip; kipf; klbf

g × 1000 lb

= 4.448 221 615 260 5 kN

ton-force

tnf

g × 1 sh tn

= 8.896 443 230 521 kN

Pressure or mechanical stress

Pressure, p (lower case)

Name of unit

Symbol

Definition

Relation to SI units

pascal (SI unit)

Pa

≡ N/m²

= kg/(m·s²)

barye (cgs unit)

 

≡ 1 dyn/cm²

= 0.1 Pa

poundal per square foot

pdl/sq ft

≡ 1 pdl/sq ft

≈ 1.488 164 Pa

millimetre of water (3.98 °C)

mmH2O

≈ 999.972 kg/m³ × 1 mm × g

= 9.806 38 Pa (= 0.999972 kgf/m²)

pound per square foot

psf

≡ 1 lb/sq ft × g

≈ 47.880 259 Pa

centimetre of water (3.98 °C)

cmH2O

≈ 999.972 kg/m³ × 1 cm × g

= 98.0638 Pa

torr

torr

≡ 101 325/760 Pa

≈ 133.322 368 4 Pa

millimetre of mercury

mmHg

≡ 13 595.1 kg/m³ × 1 mm × g ≈ 1 torr

= 133.322 387 415 Pa

inch of water (3.98 °C)

inH2O

≈ 999.972 kg/m³ × 1 in × g

= 249.082 Pa

pièze (mts unit)

pz

≡ 1000 kg/m·s²

= 1 kPa

centimetre of mercury

cmHg

≡ 13 595.1 kg/m³ × 1 cm × g

= 1.333 223 874 15 kPa

foot of water (3.98 °C)

ftH2O

≈ 999.972 kg/m³ × 1 ft × g

= 2.988 98 kPa

inch of mercury

inHg

≡ 13 595.1 kg/m³ × 1 in × g

= 3.386 388 640 341 kPa

pound per square inch

psi

≡ 1 lb × g / 1 sq in

≈ 6.894 757 kPa

foot of mercury

ftHg

≡ 13 595.1 kg/m³ × 1 ft × g

= 40.636 663 684 091 9 kPa

short ton per square foot

 

≡ 1 sh tn × g / 1 sq ft

≈ 95.760 518 kPa

atmosphere (technical)

atm

≡ 1 kgf/cm²

= 98.0665 kPa

bar

bar

 

≡ 105 Pa

atmosphere (standard)

atm

 

≡ 101 325 Pa

kip per square inch

ksi

≡ 1 kipf/sq in

≈ 6.894757 MPa

kilogram-force per square millimetre

kgf/mm²

≡ 1 kgf/mm²

= 9.806 65 MPa

Energy, work, or heat

Energy, E

Name of unit

Symbol

Definition

Relation to SI units

joule (SI unit)

J

N·m = W·s = V·A·s

= kg·m²/s²

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

litre-atmosphere

l atm; sl

≡ 1 atm × 1 L

= 101.325 J

gallon-atmosphere (U.S.)

US gal atm

≡ 1 atm × 1 gal (US)

= 383.556 849 013 8 J

gallon-atmosphere (Imperial)

US gal atm

≡ 1 atm × 1 gal (Imp)

= 460.632 569 25 J

British thermal unit (thermochemical)

BTUth

≡ 1 lb/g × 1 calth × 1 °F/°C = 9.489 152 380 4 ÷ 9 kJ

≈ 1.054 350 kJ

British thermal unit (ISO)

BTUISO

 

≡ 1.0545 kJ

British thermal unit (63 °F)

BTU63 °F

 

≈ 1.0546 kJ

British thermal unit (60 °F)

BTU60 °F

 

≈ 1.054 68 kJ

British thermal unit (59 °F)

BTU59 °F

 

≡ 1.054 804 kJ

British thermal unit (International Table)

BTUIT

≡ 1 lb/g × 1 calIT × 1 °F/°C

= 1.055 055 852 62 kJ

British thermal unit (mean)

BTUmean

 

≈ 1.055 87 kJ

British thermal unit (39 °F)

BTU39 °F

 

≈ 1.059 67 kJ

Celsius heat unit (International Table)

CHUIT

≡ 1 BTUIT × 1 °C/°F

= 1.899 100 534 716 kJ

cubic foot of atmosphere; standard cubic foot

cu ft atm; scf

≡ 1 atm × 1 ft³

= 2.869 204 480 934 4 kJ

kilocalorie; large calorie

kcal; Cal

≡ 1000 calIT

= 4.1868 kJ

cubic yard of atmosphere; standard cubic yard

cu yd atm; scy

≡ 1 atm × 1 yd³

= 77.468 520 985 228 8 kJ

cubic foot of natural gas

 

≡ 1000 BTUIT

= 1.055 055 852 62 MJ

horsepower-hour

hp·h

≡ 1 hp × 1 h

= 2.6845 MJ

kilowatt-hour; Board of Trade Unit

kW·h; B.O.T.U.

≡ 1 kW × 1 h

= 3.6 MJ

thermie

th

≡ 1 McalIT

= 4.1868 MJ

therm (U.S.)

 

≡ 100 000 BTU59 °F

= 105.4804 MJ

therm (E.C.)

 

≡ 100 000 BTUIT

= 105.505 585 262 MJ

ton of TNT

tTNT

≡ 1 Gcalth

= 4.184 GJ

barrel of oil equivalent

bboe

≈ 5.8 MBTU59 °F

≈ 6.12 GJ

ton of coal equivalent

TCE

≡ 7 Gcalth

= 29.3076 GJ

ton of oil equivalent

TOE

≡ 10 Gcalth

= 41.868 GJ

quad

 

≡ 1015 BTUIT

= 1.055 055 852 62 EJ

Power

Power, P

Name of unit

Symbol

Definition

Relation to SI units

watt (SI unit)

W

≡ J/s = N·m/s

= kg·m2/s3

lusec

lusec

≡ 1 L·µmHg/s [4]

≈ 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 °F/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, L, J

Name of unit

Symbol

Definition

Relation to SI units

SI unit

J·s

 

≡ kg·m²/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, I

Name of unit

Symbol

Definition

Relation to SI units

ampere

A

 

(SI base unit)

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, Q

Name of unit

Symbol

Definition

Relation to SI units

coulomb (SI unit)

C

 

A·s

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, U

Name of unit

Symbol

Definition

Relation to SI units

volt (SI unit)

V

 

≡ kg·m²/(A·s³)

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, R

Name of unit

Symbol

Definition

Relation to SI units

ohm (SI unit)

Ω

≡ V/A

= kg·m²/(A²·s³)

Dynamic viscosity

Dynamic viscosity, η

Name of unit

Symbol

Definition

Relation to SI units

pascal second (SI unit)

Pa·s

≡ N·s/m²

= kg/(m·s)

poise (cgs unit)

P

 

≡ 10−1 Pa·s

Kinematic viscosity

Kinematic viscosity, ν

Name of unit

Symbol

Definition

Relation to SI units

SI unit

m²/s

 

≡ m²/s

stokes (cgs unit)

St

 

≡ 10−4 m²/s

Information entropy

Information entropy, H

Name of unit

Symbol

Definition

Relation to SI units

SI unit

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 (kibibyte)

KB; KiB

≡ 1024 B

= 7.839695(13) × 10−23 J/K

Temperature

Temperature, T

Name of unit

Symbol

Relation to SI units

Relation to °C

kelvin

K

SI base unit

T[K] = T[°C] + 273.15

degree Celsius

°C

T[°C] = T[K] − 273.15

 

degree Rankine

°R; °Ra

T[°Ra] = 1.8 × T[K]

 

degree Fahrenheit

°F

T[°F] = T[K] × 1.8 − 459.67

T[°F] = 1.8 × T[°C] + 32