Rotational Motion

A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 255 kg · m2 and is rotating at 9.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/min Need Help? Read It Watch It

After 14.3 s, a spinning roulette wheel has slowed down to an angular velocity of 2.63 rad/s. During this time, the wheel has an angular acceleration of -4.24 rad/s^2. Determine the angular displacement of the wheel.

A 1702 kg solid sphere with a radius of 2.6 m rolls without slipping down an incline of 0 = 41°. If the sphere makes 6 full revolutions in 8.4 seconds. 1. The rotational inertia of the sphere is kg.m2 2. The frictional force between the incline and the sphere is 3. The angular velocity at point C on the sphere is rad/s 4. The speed of the center of mass of the Sphere is m/s 5. The distance S after 6 full revolutions is m

A flywheel (I 49 kg m' 21 starting from rest acquires an angular velocity of 233 rad/s while subject to a constant torque from a motor for 5 s. a. What is the angular acceleration of the flywheel? rad/s? b. What is the magnitude of the torque? N m Question Help: Message instructor Submit Question

A 85.0-kg skater begins a spin with an angular speed of 8.00 rad/s. By changing the position of her arms, the skater decreases her moment of inertia to one-fourth its initial value. What is the skater's final angular speed? my final answer is 16 rad/s? I'm not sure if it's correct because on test it was marked as incorrect. Can you please explain why it's incorrect?

A hollow spherical shell (Ishell = 2/3 M R2) has a mass of 6.51 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant angular acceleration of 1.9 rad/s2. What is the rotational kinetic energy of the shell after it has turned through 6.00 revolutions? (Give your answer in J.)

A power drill starts from rest and undergoes uniform angular acceleration for a period of 0.175 s until it turns at a rate of 2.80 x 104 rev/min. (a) What is the drill's angular acceleration (in rad/s2)? (Enter the magnitude.) rad/s2 (b) What is the angle (in radians) through which the drill rotates during this period? (Enter the magnitude.) rad

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 280 N applied to its edge causes the wheel to have an angular acceleration of 0.946 rad/s2.    What is the moment of inertia of the wheel? What is the mass of the wheel? If the wheel starts from rest, what is its angular velocity after 5.40 s have elapsed, assuming the force is acting during that time?