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The lux (lx) is equal to one lumen per square metre (1 lm⋅m −2). The becquerel (Bq) is equal to one reciprocal second (1 s −1). The gray (Gy) is equal to one joule per kilogram (1 J⋅kg −1). The sievert (Sv) is equal to one joule per kilogram (1 J⋅kg −1). The katal (kat) is equal to one mole per second (1 mol⋅s −1).
joule per cubic metre J/m 3: energy density: m −1 ⋅kg⋅s −2: volt per metre V/m electric field strength: m⋅kg⋅s −3 ⋅A −1: coulomb per cubic metre C/m 3: electric charge density: m −3 ⋅s⋅A coulomb per square metre C/m 2: surface charge density, electric flux density, electric displacement: m −2 ⋅s⋅A farad per metre F ...
The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
Fabric "weight" is often specified as mass per unit area, grams per square meter (gsm) or ounces per square yard. It is also sometimes specified in ounces per yard in a standard width for the particular cloth. One gram per square meter equals 0.0295 ounces per square yard; one ounce per square yard equals 33.9 grams per square meter.
A derived unit is used for expressing any other quantity, and is a product of powers of base units. For example, in the modern metric system, length has the unit metre and time has the unit second, and speed has the derived unit metre per second. [5]: 15 Density, or mass per unit volume, has the unit kilogram per cubic metre. [5]: 434
299,792,458 meters per second (m/s) speed of sound: meter per second (m/s) specific heat capacity: joule per kilogram per kelvin (J⋅kg −1 ⋅K −1) viscous damping coefficient kilogram per second (kg/s) electric displacement field also called the electric flux density coulomb per square meter (C/m 2) density
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A newton is defined as 1 kg⋅m/s 2 (it is a named derived unit defined in terms of the SI base units). [1]: 137 One newton is, therefore, the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in the direction of the applied force.