Suppose an automobile engine can produce 180 N⋅m of torque, and assume this car is suspended so that the wheels can turn

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Suppose an automobile engine can produce 180 N⋅m of
torque, and assume this car is suspended so that the wheels can
turn freely. Each wheel acts like a 12.5 kg disk that has
a 0.18 m radius. The tires act like 1.8-kg rings
that have inside radii of 0.175 m and outside radii
of 0.33 m. The tread of each tire acts like a 9.5-kg
hoop of radius 0.32 m. The 14.5-kg axle acts like a
solid cylinder that has a 1.9-cm radius. The 32-kg drive
shaft acts like a solid cylinder that has a 3.35-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.