Awheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 11.2 rad/s in 3.07 s. (a) find the magnitude of the angular acceleration of the wheel. rad/s2 (b) find the angle in radians through which it rotates in this time interval. rad

(a) The angular acceleration of the wheel is given by

where  and  are the initial and final angular speed of the wheel, and t the time.

In our problem, the initial angular speed is zero (the wheel starts from rest), so the angular acceleration is


(b) The wheel is moving by uniformly rotational accelerated motion, so the angle it covered after a time t is given by

where  is the initial angular speed. So, the angle covered after a time t=3.07 s is