What is the dimensional formula of power?

Question

Can anyone explain what the dimensional formula of power is and how to derive it?

NEET Faculty · Answer

The dimensional formula of power is derived from its definition. Power is the rate at which work is done. Mathematically, power (P) is given by:

P = W / t

Here, W is work and t is time.

The dimensional formula for work (W) is [ML²T^-2] and for time (t) is [T].

So, the dimensional formula of power is:

[P] = [ML²T^-2] / [T] = [ML²T^-3]

Therefore, the dimensional formula of power is [ML²T^-3].

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