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Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
The specific heat capacity of a substance (per unit of mass) has dimension L 2 ⋅Θ −1 ⋅T −2, or (L/T) 2 /Θ. Therefore, the SI unit J⋅kg −1 ⋅K −1 is equivalent to metre squared per second squared per kelvin (m 2 ⋅K −1 ⋅s −2).
In physics, there are equations in every field to relate physical quantities to each other and perform calculations. Entire handbooks of equations can only summarize most of the full subject, else are highly specialized within a certain field. Physics is derived of formulae only.
On 7 April 1795, the metric system was formally defined in French law using six units. Three of these are related to volume: the stère (1 m 3) for volume of firewood; the litre (1 dm 3) for volumes of liquid; and the gramme, for mass—defined as the mass of one cubic centimetre of water at the temperature of melting ice. [10]
A useful property of a coherent system is that when the numerical values of physical quantities are expressed in terms of the units of the system, then the equations between the numerical values have exactly the same form, including numerical factors, as the corresponding equations between the physical quantities. [3]: 6
The litre (Commonwealth spelling) or liter (American spelling) (SI symbols L and l, [1] other symbol used: ℓ) is a metric unit of volume. It is equal to 1 cubic decimetre (dm 3 ), 1000 cubic centimetres (cm 3 ) or 0.001 cubic metres (m 3 ).
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In physics, natural unit systems are measurement systems for which selected physical constants have been set to 1 through nondimensionalization of physical units.For example, the speed of light c may be set to 1, and it may then be omitted, equating mass and energy directly E = m rather than using c as a conversion factor in the typical mass–energy equivalence equation E = mc 2.