SI derived unit


SI derived units are units of measurement derived from the
seven base units specified by the International System of Units. They are either dimensionless or can be expressed as a product of one or more of the base units, possibly scaled by an appropriate power of exponentiation.
The SI has special names for 22 of these derived units, but the rest merely reflect their derivation: for example, the square metre, the SI derived unit of area; and the kilogram per cubic metre, the SI derived unit of density.
The names of SI derived units, when written in full, are always in lowercase. However, the symbols for units named after persons are written with an uppercase initial letter. For example, the symbol for hertz is "Hz", but the symbol for metre is "m".

Derived units with special names

The International System of Units assigns special names to 22 derived units, which includes two dimensionless derived units, the radian and the steradian.
NameSymbolQuantityEquivalentsSI base unit
Equivalents
hertzHzfrequency1/ss−1
radianradanglem/m1
steradiansrsolid anglem2/m21
newtonNforce, weightkg⋅m/s2kg⋅m⋅s−2
pascalPapressure, stressN/m2kg⋅m−1⋅s−2
jouleJenergy, work, heatm⋅N, C⋅V, W⋅skg⋅m2⋅s−2
wattWpower, radiant fluxJ/s, V⋅Akg⋅m2⋅s−3
coulombCelectric charge or quantity of electricitys⋅A, F⋅Vs⋅A
voltVvoltage, electrical potential difference, electromotive forceW/A, J/Ckg⋅m2⋅s−3⋅A−1
faradFelectrical capacitanceC/V, s/Ωkg−1⋅m−2⋅s4⋅A2
ohmΩelectrical resistance, impedance, reactance1/S, V/Akg⋅m2⋅s−3⋅A−2
siemensSelectrical conductance1/Ω, A/Vkg−1⋅m−2⋅s3⋅A2
weberWbmagnetic fluxJ/A, T⋅m2,V⋅skg⋅m2⋅s−2⋅A−1
teslaTmagnetic induction, magnetic flux densityV⋅s/m2, Wb/m2, N/kg⋅s−2⋅A−1
henryHelectrical inductanceV⋅s/A, Ω⋅s, Wb/Akg⋅m2⋅s−2⋅A−2
degree Celsius°Ctemperature relative to 273.15 KKK
lumenlmluminous fluxcd⋅srcd
luxlxilluminancelm/m2cd⋅m−2
becquerelBqradioactivity 1/ss−1
grayGyabsorbed dose J/kgm2⋅s−2
sievertSvequivalent dose J/kgm2⋅s−2
katalkatcatalytic activitymol/ss−1⋅mol

Examples of derived quantities and units

Other units used with SI

Some other units such as the hour, litre, tonne, bar and electronvolt are not SI units, but are widely used in conjunction with SI units.

Supplementary units

Until 1995, the SI classified the radian and the steradian as supplementary units, but this designation was abandoned and the units were grouped as derived units.