Question

The dimensions of power are​

Answer 1

The dimension of power is energy divided by time. In the International System of Units (SI), the unit of power is the watt (W), which is equal to one joule per second.

SI unit: watt (W)

In SI base units: kg⋅m2⋅s−3

Derivations from other quantities: P = E/t; P = F

Explanation:

Answer 2

Answer:

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.

Explanation:

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