| Derived quantity | Quantity symbol | Name | Expression in SI base units |
|---|---|---|---|
| area | A | square metre | m2 |
| volume | V | cubic metre | m3 |
| speed, velocity | u, v, c | metre per second | m s-1 |
| acceleration | a, g (free fall) | metre per second squared | m s-2 |
| moment of inertia | I | kilogram square metre | kg m2 |
| kinematic viscosity | v | square metre per second | m2 s-1 |
| wave number | σ, φ | reciprocal metre | m-1 |
| mass density | ρ | kilogram per cubic metre | kg m-3 |
| specific volume | v | cubic metre per kilogram | m3 kg-1 |
| current density | j, i | ampere per square metre | A m-2 |
| magnetic field strength | H | ampere per metre | A m-1 |
| concentration of substance B: | cB, [B] | mole per cubic metre | mol/m-3 |
| molar mass | M | kilogram per mole | kg mol-1 |
| molar volume | Vm | cubic metre per mole | m3mol-1 |
| luminance | L | candela per square metre | cd m-2 |
| mass fraction | w | kilogram per kilogram | dimensionless |
The table above shows some examples of derived quantities and units expressed in terms of SI base units.
Some quantities are defined as the ratios of two quantities of the same kind, and thus have a dimension expressed by the number one. Examples of such quantities are refractive index, relative permeability, and mass fraction. Other quantities having the unit 1 include "characteristic numbers" like the quantum number and numbers which represent a count, such as a number of molecules and partition function in statistical thermodynamics. All of these quantities are described as being dimensionless, or of dimension one, and have the coherent SI unit 1. Their values are simply expressed as numbers and, in general, the unit 1 is not shown. In a few cases, a special name is given to this unit, mainly to avoid confusion between some compound derived units. This is the case for the radian, steradian and neper.
Si Units:
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