Question

if work done is given by w=3t^3,what is power at t=1 sec​

Answer 1

Explanation:

just differentiate it u will get answer

Answer 2

Answer:

Power at 1 sec is 9 Watt.

Explanation:

The mechanical power is defined as the rate at which energy is consumed or the rate at which some work could be done.

It is given by the time derivative of work done or the energy consumed.

$P=\dfrac{\mathrm{d} W}{\mathrm{d}t}$.

Given:

$W=3t^3$.

Therefore, the power at an instant of time $t$ is given by

$P=\dfrac{\mathrm{d} (3t^3)}{\mathrm{d}t}=3\times 3t^2=9t^2$

At time, $t=1\ \rm sec$,

$P=9\times 1^2=9\ \rm W$.