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  • Base units Terms Explained SI 2

Base units Terms Explained

 
 

Derived units are formed by powers, products or quotients of the base units and are unlimited in number; Derived units are associated with derived quantities, for example velocity is a quantity that is derived from the base quantities of time and distance which, in SI, has the dimensions metres per second (symbol m/s). The dimensions of derived units can be expressed in terms of the dimensions of the base units.

Some derived units have special names, for example the unit of force is the newton. Coherent units (such as those in SI) are derived units that contain no numerical factor other than 1: in the example above, one newton is the force required to accelerate a mass of one kilogram by one metre per second squared. Since the SI units of mass and acceleration are kg and m⋅s−2respectively and F ∝ m × a, the units of force (and hence of newtons) is formed by multiplication to give kg⋅m⋅s−2. Since the newton is part of a coherent set of units, the constant of proportionality is 1.

NameSymbolQuantityExpressed in terms of other SI unitsExpressed in terms of SI base units
radian rad angle 1 m/m
steradian sr solid angle 1 m2/m2
hertz Hz frequency   s−1
newton N force, weight   kg⋅m⋅s−2
pascal Pa pressure, stress N/m2 kg⋅m−1⋅s−2
joule J energy, work, heat N⋅m kg⋅m2⋅s−2
watt W power, radiant flux J/s kg⋅m2⋅s−3
coulomb C electric charge or quantity of electricity   s⋅A
volt V voltage (electrical potential difference), electromotive force W/A kg⋅m2⋅s−3⋅A−1
farad F electric capacitance C/V kg−1⋅m−2⋅s4⋅A2
ohm Ω electric resistance, impedance, reactance V/A kg⋅m2⋅s−3⋅A−2
siemens S electrical conductance A/V kg−1⋅m−2⋅s3⋅A2
weber Wb magnetic flux V⋅s kg⋅m2⋅s−2⋅A−1
tesla T magnetic field strength Wb/m2 kg⋅s−2⋅A−1
henry H inductance Wb/A kg⋅m2⋅s−2⋅A−2
degree Celsius °C temperature relative to 273.15 K   K
lumen lm luminous flux cd⋅sr cd
lux lx illuminance lm/m2 m−2⋅cd
becquerel Bq radioactivity (decays per unit time)   s−1
gray Gy absorbed dose (of ionizing radiation) J/kg m2⋅s−2
sievert Sv equivalent dose (of ionizing radiation) J/kg m2⋅s−2
katal kat catalytic activity   s−1⋅mol
Notes 1. The radian and steradian, once given special status, are now considered dimensionless derived units.2. The ordering of this table is such that any derived unit is based only on base units or derived units that precede it in the table.
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