Dimensions of Power

Dimensional Formula of Power

The dimensional formula of power is given by,

M1 L2 T-3

Where,

  • M = Mass
  • L = Length
  • T = Time

Derivation

Power (P) = Work × time-1 = Joule × second-1 . . . . . (1)

Since, Work (J) = N × m = M1 L1 T-2 × [L]

Therefore, the dimensional formula of work = M1 L2 T-2 . . . . (2)

On substituting equation (2) in equation (1) we get,

Power (P) = Work × time-1

Or, P = [M1 L2 T-2] × [T-1] = M1 L2 T-3.

Therefore, power is dimensionally represented as M1 L2 T-3.

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