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Coherent Derived Units with Special Names and Symbols

The following are examples of coherent derived units in the SI with special names and symbols:

Derived Quantity Name Symbol Expression in Terms of Other SI Units Expression in Terms of SI Base Units
plane angle radian rad 1 (dimensionless) m⋅m-1
solid angle steradian sr 1 (dimensionless) m2⋅m-2
frequency hertz Hz -- s-1
force newton N -- m⋅kg⋅s-2
pressure, stress pascal Pa N/m2 m-1⋅kg⋅s-2
energy, work, quantity of heat joule J N⋅m m2⋅kg⋅s-2
power, radiant flux watt W J/s m2⋅kg⋅s-3
electric charge, amount of electricity coulomb C -- s⋅A
electric potential difference, electromotive force volt V W/A m2⋅kg⋅s-3⋅A-1
capacitance farad F C/V m2⋅kg-1⋅s4⋅A2
electric resistance ohm Ω V/A m2⋅kg⋅s-3⋅A-2
electric conductance siemens S A/V m-2⋅kg-1⋅s3⋅A2
magnetic flux weber Wb V⋅s m2⋅kg⋅s-2⋅A-1
magnetic flux density tesla T Wb/m2 kg⋅s-2⋅A-1
inductance henry H Wb/A m2⋅kg⋅s-2⋅A-2
Celsius temperature degree Celsius °C -- K
luminous flux lumen lm cd⋅sr m2⋅m-2⋅cd = cd
illuminance lux lx lm/m2 m2⋅m-4⋅cd = m-2⋅cd
radioactivity becquerel Bq -- s-1
radiation absorbed dose gray Gy J/kg m2⋅s-2
dose equivalent sievert Sv J/kg m2⋅s-2
catalytic activity katal kat -- s-1⋅mol