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## Homework Statement

An object of moment of inertia I is initially at rest. a net torque T accelerates the object to angular velocity omega in time t.

The power with which the object is accelerated is?

The right answer apparently is [ I * omega^2 ] / [2 * t].

Could anyone please explain why this approach is right?

Here's what I did:

## Homework Equations

torque = I * angular acceleration

power = torque * omega

## The Attempt at a Solution

power = torque * omega = I * angular acceleration * omega = I * (final omega/delta t) * final omega [I was finding the maximum power here]

However, the solutions have everything I got, with an additional 2 in the denominator.

Is the 2 supposed to be used for calculating the average omega in the rotational motion?

If so, the problem just says "the power," not "average power," so is it OK to make such an assumption?

Thanks in advance!