Question

derive the dimensional formula for power​

Answer 1

Answer:

The dimensional formula of power is given by,

M1 L2 T-3

Explanation:

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.

Answer 2

Power = force × velocity P = F × v F = [ MLT-2 ] v = [ LT-1 ] Therefore, the dimensional formula of power, P = [ MLT-2 ] × [ LT-1 ] = [ ML2T-3 ] 

HOPE THIS HELPS TO YOU