Question

derivation of power in terms of force and velocity

Answer 1

Hey folk !!

Here's the answer you are looking for

Power is defined as the rate of doing work.

Mathematically, it can be written as

$P = \frac{W}{t}$

But we know, that work done is force into displacement.

That is, W = F • s

So,

$P = \frac{F. \: s}{t} \\ \: \: \: \: = F \times( \frac{s}{t} )$
We know that displacement upon time is velocity so s/t can be replaced by v.

Thus, P becomes F × v

$Therefore, \: P = F \times v$



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