# 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?

Sep 22, 2015

${\omega}_{f} = {\omega}_{i} + \alpha t$
$\therefore t = \frac{{\omega}_{f} - {\omega}_{i}}{\alpha} = \frac{0 - 28}{- 0 , 50} = 56 s$