Directional formula of power
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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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