Question

Suppose an automobile engine can produce 205 N⋅m of torque, and assume this car is suspended so that the wheels can turn freely. Each wheel acts like a 15.5 kg disk that has a 0.195 m radius. The tires act like 2.1-kg rings that have inside radii of 0.19 m and outside radii of 0.33 m. The tread of each tire acts like a 11.5-kg hoop of radius 0.315 m. The 12-kg axle acts like a solid cylinder that has a 2.05-cm radius. The 29.5-kg drive shaft acts like a solid cylinder that has a 3.05-cm radius.

Calculate the angular acceleration, in radians per square second, produced by the motor if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car.

Answer 1