Awheel with moment of inertia 25 kg. m2 and angular velocity 10 rad/s begins to speed up, with angular acceleration 15 rad/sec2 . a) after 2 seconds of acceleration, how many radians of rotation has the wheel completed? b) after 3 seconds of acceleration, what is the wheel’s kinetic energy due to rotation?

(A) Angular speed 40 rad/sec

Rotation = 50 rad

(b) 37812.5 J

Explanation:

We have given moment of inertia of the wheel

Initial angular velocity of the wheel

Angular acceleration

(a) We know that

We have given t = 2 sec

So

Now

(b) After 3 sec

We know that kinetic energy is given by

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