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Cartesian y-axis basis unit vector unitless kinetic energy: joule (J) wave vector: radian per meter (m −1) Boltzmann constant: joule per kelvin (J/K) wavenumber: radian per meter (m −1) stiffness: newton per meter (N⋅m −1) ^ Cartesian z-axis basis unit vector
The table usually lists only one name and symbol that is most commonly used. The final column lists some special properties that some of the quantities have, such as their scaling behavior (i.e. whether the quantity is intensive or extensive ), their transformation properties (i.e. whether the quantity is a scalar , vector , matrix or tensor ...
Unit name Unit symbol ... Physics: Relational: cubic metre per kilogram: m 3 /kg: v: ... Toggle the table of contents. List of international units.
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.
Name of unit Symbol Definition Relation to SI units cubic foot per minute CFM [citation needed] ≡ 1 ft 3 /min = 4.719 474 432 × 10 −4 m 3 /s: cubic foot per second ft 3 /s ≡ 1 ft 3 /s = 0.028 316 846 592 m 3 /s: cubic inch per minute in 3 /min ≡ 1 in 3 /min = 2.731 177 3 × 10 −7 m 3 /s cubic inch per second in 3 /s ≡ 1 in 3 /s = 1 ...
The kilogram is the only coherent SI unit whose name and symbol include a prefix. For historical reasons, the names and symbols for multiples and sub-multiples of the unit of mass are formed as if the gram were the base unit. Prefix names and symbols are attached to the unit name gram and the unit symbol g
The cubic metre is also a SI derived unit. [16] Therefore, volume has a unit dimension of L 3. [17] The metric units of volume uses metric prefixes, strictly in powers of ten. When applying prefixes to units of volume, which are expressed in units of length cubed, the cube operators are applied to the unit of length including the prefix.
Unit of measure cubic metre litre Reference size Usage 1 cubic metre = 1 = 1000: base unit in SI 1 barrel = 0.158 987 294 928 = 158.987294928 = 42 US gallons = 9,702 cubic inches: e. g. for oil: 1 cubic foot = 0.028 316 846 592 = 28.316864592 = 1,728 cubic inches: 1 cubic decimetre = 0.001 = 1: 1 litre = 0.001 = 1: 1 gallon (US) = 0.003 785 411 ...