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Derived Units

Derived Unit Measures Derivation Formal Definition
Hertz (Hz) Frequency /s/s s−1s^{-1}
Newton (N) Force kg⋅(m/s2)kg\cdot(m/s^2) kg⋅m⋅s−2kg\cdot m\cdot s^{-2}
Pascal (Pa) Pressure N/m2N/m^2 kg⋅m−1⋅s−2kg\cdot m^{-1}\cdot s^{-2}
Joule (J) Energy or work N⋅mN\cdot m kg⋅m2⋅s−2kg\cdot m^2\cdot s^{-2}
Watt (W) Power J/sJ/s kg⋅m2⋅s−3kg\cdot m^2\cdot s^{-3}
Coulomb (C) Electric charge A⋅sA\cdot s A⋅sA\cdot s
Volt (V) Electric potential W/AW/A kg⋅m2⋅s−3⋅A−1kg\cdot m^2\cdot s^{-3}\cdot A^{-1}
Farad (F) Electric capacitance C/VC/V kg−1⋅m−2⋅s4⋅A2kg^{-1}\cdot m^{-2}\cdot s^4\cdot A^2
Ohm (Ω) Electric resistance V/AV/A kg⋅m2⋅s−3⋅A−2kg\cdot m^2\cdot s^{-3}\cdot A^{-2}
Siemens (S) Electric conductance A/VA/V kg−1⋅m−2⋅s3⋅A2kg^{-1}\cdot m^{-2}\cdot s^3\cdot A^2
Weber (Wb) Magnetic flux V⋅sV\cdot s kg⋅m2⋅s−2⋅A−1kg\cdot m^2\cdot s^{-2}\cdot A^{-1}
Tesla (T) Magnetic flux density Wb/m2Wb/m^2 kg⋅s−2⋅A−1kg\cdot s^{-2}\cdot A^{-1}
Henry (H) Inductance Wb/AWb/A kg⋅m2⋅s−2⋅A−2kg\cdot m^2\cdot s^{-2}\cdot A^{-2}
Degree Celsius (°C) Temperature K−273.15K-273.15 KK
Radian (rad) Plane angle m⋅m−1m\cdot m^{-1}
Steradian (sr) Solid angle m2⋅m−2m^2\cdot m^{-2}
Lumen (lm) Luminous flux cd⋅srcd\cdot sr cd⋅srcd\cdot sr
Lux (lx) Illuminance lm/m2lm/m^2 cd⋅sr⋅m−2cd\cdot sr\cdot m^{-2}
Becquerel (Bq) Activity /s/s s−1s^{-1}
Gray (Gy) Absorbed dose J/kgJ/kg m2⋅s−2m^2\cdot s^{-2}
Sievert (Sv) Dose equivalent Gy⋅(multiplier)Gy\cdot\text{(multiplier)} m2⋅s−2m^2\cdot s^{-2}
Katal (kat) Catalytic activity mol/smol/s mol⋅s−1mol\cdot s^{-1}
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