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 -0.51 rad/s².In this situation,the time t,at which the wheel comes to a mandatory halt,is closest to: A)130 s B)120 s C)96 s D)78 s E)55 s

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Quizplus · Accepted Answer

The wheel comes to a stop when its angular velocity is zero. We can use the equation of motion:$$\omega_f = \omega_i + \alpha t$$where:$$\omega_f$$ is the final angular velocity$$\omega_i$$ is the initial angular velocity$$\alpha$$ is the angular acceleration$$t$$ is the timeSubstituting in the given values, we get:$$0 = 28 	ext{ rad/s} - 0.51 	ext{ rad/s}^2 t$$Solving for t, we get:$$t = \frac{28 	ext{ rad/s}}{0.51 	ext{ rad/s}^2} \approx 55 	ext{ s}$$Therefore, the wheel comes to a stop at approximately 55 seconds.

At Time T = 0 S,a Wheel Has an Angular