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Dimensional Formulae and Dimensional Equations

Dimensional Formula and Dimensional Equation

Dimensional Formula:-
The dimensional formula of a physical quantity is an expression telling us how and which of the fundamental quantities enter into the unit of that quantity.

It is customary to express the fundamental quantities by a capital letter, e.g., length(L), mass (AT), time (T), electric current (I), temperature (K) and luminous intensity (C).

Dimensional Equation :-
An equation obtained by equating a physical quantity with its dimensional formula is called the dimensional equation of the physical quantity. Thus, the dimensional equations are the equations, which represent the dimensions of a physical quantity in terms of the base quantities. For example, the dimensional equations of volume [V], speed [v], force [F] and mass density [ ρ ] may be expressed as [V] = [M0 L3 T0] [v] = [M0 L T–1] [F] = [M L T–2] [ ρ ] = [M L–3 T0]. The dimensional equation can be obtained from the equation representing the relations between the physical quantities.

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