A uniform disk has a mass of 0.911 K g and a radius of 1.371 m. Starting from rest , it accelerates to an angular velocity of 21rad / s in 0.56 s. Determine the net torque acting on the disk (Hint the moment of inertia of a disk is 1/2 mR^ 2 )

An automobile engine can produce 200 N · m of torque. Calculate the angular acceleration produced if 95.0% 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 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.

playground merry-go-round of radius R=2.00m has a moment of inertia? = 250??. ?2 and is rotating at 10.0 ???/??? about a frictionless vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round from the ground and manages to sit down on its edge. What is the new angular speed of the merry-go-round?

An object's moment of inertia is 2.50 kgxm^2 . Its angular velocity is increasing at the rate of 3.30 rad/s^2 . What is the net torque on the object?