Question

A gearwheel has angular motion (t) = 3.00 rad − 2.00(rad/s)t + 3.00(rad/s2)t2. (a) Determine the angular velocity (t) at t = 2.00 s. (b) Determine the angular acceleration (t) at t = 2.00 s.

Answer 1

PART A:

We have

The angular velocity is given by

So, the angular velocity at t = 2 s is

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PART B:

The angular acceleration is given by

So, the angular acceleration at t = 2 s is (in fact for any value of t)