A 2000-kg Ferris wheel accelerates from rest to an angular speed of 2.0 rad/s in 12 seconds. Approximate the Ferris wheel as a circular disk with a radius of 30 m. What is the net torque on the wheel? (The moment of inertia of a circular disk is 1/2MR2)

An object has a moment of inertia of 0.79 kg m2. Its angular velocity is increasing at the rate of 0.40 rad/s per second. What is the net torque (in N m2) on the object?

A turntable is switched from 13.5 rad/s to 2.4 rad/s, and the platter goes through an angle of 30.43 radian in reaching the new angular speed. What is the angular acceleration of the platter?

The angular speed of an automobile engine is increased from 1130.0 rev/min to 1475.0 rev/min in 19.0 s. What is its angular acceleration in rev/min2, assuming it to be uniform?

A 1.756-kg sphere of radius 0.31 m is rotating about an axis through its center at 24.843 rev/s with the angular velocity in the +z direction.  A torque 11.573N∙m acts on the sphere about the center of the sphere in the +x direction.  What is the angular acceleration, in rad2/s, of the sphere? (Isphere = 2/5 MR2)

An automobile engine can produce 253 Nm of torque. Calculate the angular acceleration (in rad/s2) produced if 80.2% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0 kg disk that has a 0.180 m radius. The walls of each tire act like a 2.00 kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0 kg hoop of radius 0.330 m. The 12.1 kg axle acts like a rod that has a 2.00 cm radius. The 29.7 kg drive shaft acts like a rod that has a 3.20 cm radius. rad/s² t Additional Materials Reading

A wheel is initially at rest then rotates with a constant acceleration of 2.0 rad/s2 . What is its angular speed after it has gone through a displacement of 5.0 rad?