At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +28 rad/s. The wheel has a constant acceleration of -0.50 rad/#s^2#. In this situation, at what time will the wheel come to a halt?

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Answer 1 · 2015-09-22T16:55:25

56 seconds later.

We may use the equations of motion for constant angular acceleration to obtain :

#omega_f=omega_i + alphat#
#therefore t = (omega_f-omega_i)/alpha=(0-28)/(-0,50)=56 s#