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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56 seconds later.

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

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

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