Examples of Derived Quantities and Units
| Some SI derived units | ||||
|---|---|---|---|---|
| Name | Symbol | Quantity | Expression in terms of SI base units |
|
| square metre | m2 | area | m2 | |
| cubic metre | m3 | volume | m3 | |
| metre per second | m/s | speed, velocity | m⋅s−1 | |
| cubic metre per second | m3/s | volumetric flow | m3⋅s−1 | |
| metre per second squared | m/s2 | acceleration | m⋅s−2 | |
| metre per second cubed | m/s3 | jerk, jolt | m⋅s−3 | |
| metre per quartic second | m/s4 | snap, jounce | m⋅s−4 | |
| radian per second | rad/s | angular velocity | s−1 | |
| newton second | N⋅s | momentum, impulse | m⋅kg⋅s−1 | |
| newton metre second | N⋅m⋅s | angular momentum | m2⋅kg⋅s−1 | |
| newton metre | N⋅m = J/rad | torque, moment of force | m2⋅kg⋅s−2 | |
| newton per second | N/s | yank | m⋅kg⋅s−3 | |
| reciprocal metre | m−1 | wavenumber | m−1 | |
| kilogram per square metre | kg/m2 | area density | m−2⋅kg | |
| kilogram per cubic metre | kg/m3 | density, mass density | m−3⋅kg | |
| cubic metre per kilogram | m3/kg | specific volume | m3⋅kg−1 | |
| mole per cubic metre | mol/m3 | amount of substance concentration | m−3⋅mol | |
| cubic metre per mole | m3/mol | molar volume | m3⋅mol−1 | |
| joule second | J⋅s | action | m2⋅kg⋅s−1 | |
| joule per kelvin | J/K | heat capacity, entropy | m2⋅kg⋅s−2⋅K−1 | |
| joule per kelvin mole | J/(K⋅mol) | molar heat capacity, molar entropy | m2⋅kg⋅s−2⋅K−1⋅mol−1 | |
| joule per kilogram kelvin | J/(K⋅kg) | specific heat capacity, specific entropy | m2⋅s−2⋅K−1 | |
| joule per mole | J/mol | molar energy | m2⋅kg⋅s−2⋅mol−1 | |
| joule per kilogram | J/kg | specific energy | m2⋅s−2 | |
| joule per cubic metre | J/m3 | energy density | m−1⋅kg⋅s−2 | |
| newton per metre | N/m = J/m2 | surface tension | kg⋅s−2 | |
| watt per square metre | W/m2 | heat flux density, irradiance | kg⋅s−3 | |
| watt per metre kelvin | W/(m⋅K) | thermal conductivity | m⋅kg⋅s−3⋅K−1 | |
| square metre per second | m2/s | kinematic viscosity, diffusion coefficient | m2⋅s−1 | |
| pascal second | Pa⋅s = N⋅s/m2 | dynamic viscosity | m−1⋅kg⋅s−1 | |
| coulomb per square metre | C/m2 | electric displacement field, polarization vector | m−2⋅s⋅A | |
| coulomb per cubic metre | C/m3 | electric charge density | m−3⋅s⋅A | |
| ampere per square metre | A/m2 | electric current density | A⋅m−2 | |
| siemens per metre | S/m | conductivity | m−3⋅kg−1⋅s3⋅A2 | |
| siemens square metre per mole | S⋅m2/mol | molar conductivity | kg-1⋅s3⋅mol−1⋅A2 | |
| farad per metre | F/m | permittivity | m−3⋅kg−1⋅s4⋅A2 | |
| henry per metre | H/m | permeability | m⋅kg⋅s−2⋅A−2 | |
| volt per metre | V/m | electric field strength | m⋅kg⋅s−3⋅A−1 | |
| ampere per metre | A/m | magnetic field strength | A⋅m−1 | |
| candela per square metre | cd/m2 | luminance | cd⋅m−2 | |
| lumen second | lm⋅s | luminous energy | cd⋅sr⋅s | |
| lux second | lx⋅s | luminous exposure | cd⋅sr⋅s/m−2 | |
| coulomb per kilogram | C/kg | exposure (X and gamma rays) | kg−1⋅s⋅A | |
| gray per second | Gy/s | absorbed dose rate | m2⋅s−3 | |
| ohm metre | Ω⋅m | resistivity | m3⋅kg⋅s−3⋅A−2 | |
Some other metric units, such as the litre, are not SI units, but are accepted for use with the SI.
Read more about this topic: SI Derived Unit
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