International System of Units SI



The SI is founded on seven SI base units for seven base quantities assumed to be mutually independent.

SI base units
Base quantity Name Symbol
length meter m
mass kilogram       kg
time second s
electric current ampere A
thermodynamic temperature       kelvin K
amount of substance mole mol
luminous intensity candela cd



Conversion of SI units into British units
Quantity
Conversion Factor
length 1 km
=
0·6214 mile = 3281 feet
1m
=
3·281 feet = 39·37 inches
1 mm
=
0·03937 inches
area 1 km2
=
247·1 acres
1 m2
=
10·76 ft2
1 mm2
=
0·00155 in2
volume 1 m3
=
35·32 ft3
1 dm3
=
0·03532 ft3
1 litre
=
0·2200 gal
mass; weight 1 kg
=
2·205 lb
1 g
=
0·03527 oz
density
1 kg/m3
=
0·06243 lb/ft3
velocity 1 km/h
=
0·6214 mile/h
1 m/s
=
3·281 ft/s
force
1 N
=
0·2248 Ibf
pressure
1 kN/m2
=
0·1450 lbf/in2 = 20·88 Ibf/ft2
temperature
9/5 °C+32
=
°F
power
1 kW
=
1·341 hp
heat flow rate
1 W
=
3·412 Btu/h
energy 1 J
=
0·7376 ft Ibf
1 U
=
0·2778 Wh
1 MJ
=
0·3726 hp h
quantity of heat 1 MJ
=
0·2778 kWh
1 kJ
=
0·9479 Btu
heat content
1 kJ/kg
=
0·4299 Btu/lb
specific heat
1 kJ/kg°C
=
0·2388 Btu/lbºF
thermal conductivity
1 W/m°C
=
6·935 Btu in/ft2hºF
thermal conductance
1 W/m2ºC
=
0·1761 Btu/ft2hºF



Prefixes
10 exp 24 yotta Y 1.000.000.000.000.000.000.000.000
10 exp 21 zetta Z 1.000.000.000.000.000.000.000
10 exp 18 exa E 1.000.000.000.000.000.000
10 exp 15 peta P 1.000.000.000.000.000
10 exp 12 tera T 1.000.000.000.000
10 exp 9 giga G 1.000.000.000
10 exp 6 mega M 1.000.000
10 exp 3 kilo k 1.000
10 exp 2 hecto h 100
10 deka da 10
1     1
10 exp -1 deci d 0.1
10 exp -2 centi c 0.01
10 exp -3 milli m 0.001
10 exp -6 micro u 0.000 001
10 exp -9 nano n 0.000 000 001
10 exp -12 pico p 0.000 000 000 001
10 exp -15 femto f 0.000 000 000 000 001
10 exp -18 atto a 0.000 000 000 000 000 001
10 exp -21 zepto z 0.000 000 000 000 000 000 001
10 exp -24 yocto y 0.000 000 000 000 000 000 000 001


SI derived units
The so called derived quantities are defined in terms of the seven base quantities via quantity equations. The SI derived units are obtained from the seven SI base units.

some SI derived unit Name Symbol
area square meter m2
volume cubic meter m3
speed, velocity meter per second m/s
acceleration meter per second squared   m/s2
wave number reciprocal meter m-1
mass density kilogram per cubic meter kg/m3
specific volume cubic meter per kilogram m3/kg
current density ampere per square meter A/m2
magnetic field strength   ampere per meter A/m
amount-of-substance concentration mole per cubic meter mol/m3
luminance candela per square meter cd/m2
mass fraction kilogram per kilogram, which may be represented by the number 1 kg/kg = 1


SI derived units with special names and symbols
SI derived unit Name Unit Units Units
frequency Hertz Hz   - s-1
power, radiant flux Watt W J/s m2·kg·s-3
electric charge, quantity of electricity Coulomb C   - s·A
electric potential difference,
electromotive force
Volt V W/A m2·kg·s-3·A-1
capacitance Farad F C/V m-2·kg-1·s4·A2
electric resistance Ohm V/A m2·kg·s-3·A-2
electric conductance Siemens S A/V m-2·kg-1·s3·A2
force Newton N   - m·kg·s-2
pressure, stress Pascal Pa N/m2 m-1·kg·s-2
energy, work, quantity of heat   Joule J N·m m2·kg·s-2
magnetic flux Weber Wb V·s m2·kg·s-2·A-1
magnetic flux density Tesla T Wb/m2 kg·s-2·A-1
inductance Henry H Wb/A m2·kg·s-2·A-2
luminous flux Lumen lm cd·sr (c) m2·m-2·cd = cd
illuminance Lux lx lm/m2 m2·m-4·cd = m-2·cd