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 uniformly to a stop in 160 s,what is the magnitude of the retarding torque? A)1.00 N ∙ m B)0.00750 N ∙ m C)0.0787 N ∙ m D)1.33 N ∙ m E)1.67 N ∙ m

Question

Quizplus · Accepted Answer

The retarding torque can be calculated using the formula: torque = moment of inertia * angular deceleration. First, find the angular deceleration: (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 N∙m.

A Mechanic Is Examining the Wheel of a Bicycle to Adjust