A mechanic is examining the wheel of a bicycle to adjust the brake. With the bicycle off the ground, he manually rotates the wheel until it reaches an angular speed of 12.0 rad/s and then allows it to coast to a stop. If the wheel has a moment of inertia of 0.100 kg∙m², and the wheel slows to a stop in 160 s, what is the magnitude of the retarding torque? A) 1.00 Nm B) 0.00750 Nm C) 0.0787Nm D) 1.33 Nm E) 1.67 Nm

Question

Quizplus · Accepted Answer

The retarding torque can be calculated using the formula: torque = I * alpha, where alpha is the angular deceleration. First, find alpha using the formula: alpha = (final angular speed - initial angular speed) / time = (0 - 12.0 rad/s) / 160 s = -0.075 rad/s². Then, torque = 0.100 kg∙m² * 0.075 rad/s² = 0.00750 Nm.

A Mechanic Is Examining the Wheel of a Bicycle to Adjust