Appendix B

SI Derived Units

Examples of SI derived units expressed in terms of base units

Derived Quantity SI Derived Unit Name Symbol
Area square metre m2
Volume cubic metre m3
Speed, velocity metre per second m·s−1
Acceleration metre per second squared m·s−2
Wavenumber reciprocal metre m−1
Density kilogram per cubic metre kg·m−3
Current density ampere per square metre A·m−2
Magnetic field strength ampere per metre A·m−1
Concentration mole per cubic metre mol·m−3
Luminance candela per square metre cd·m−2
Refractive index unity 1

SI derived units with special names and symbols

Derived Quantity SI Derived Unit Name Symbol In Terms of Other Units In Terms of Base Units
Plane angle radian rad  1
Solid angle steradian sr  1
Frequency hertz Hz  s−1
Force newton N  m·kg·s−2
Pressure pascal Pa N·m−2 m−1·kg·s−2
Energy joule J N·m m2·kg·s−2
Power watt W J·s−1 m2·kg·s−3
Electric charge coulomb C  s·A
Electric potential difference volt V W·A−1 m2·kg·s−3·A−1
Capacitance farad F C·V−1 m−2·kg−1·s4·A2
Electric resistance ohm V·A−1 m2·kg·s−3·A−1
Electric conductance siemens S A·V−1 m−2·kg−1·s−3·A−2
Magnetic flux weber Wb V·s m2·kg·s−2·A−1
Magnetic flux density tesla T Wb·m−2 kg·s−2·A−1
Inductance henry H Wb·A−1 m2·kg·s−2·A−2
Luminous flux lumen lm cd·sr Cd
Illuminance lux lx lm·m−2 cd·m−2
Activity (of a radionuclide) becquerel Bq  s−1
Absorbed dose gray Gy J·kg−1 m2·s−2

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