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) = Force (M x a) × displacement = 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.