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 0.824 rad/s?. (a) What is the moment of inertia of the wheel? |kg - m2 (b) What is the mass of the wheel? kg (c) If the wheel starts from rest, what is its angular velocity after 5.10 s have elapsed, assuming the force is acting during that time?

A car initially traveling at 27.2 m/s undergoes a constant negative acceleration of magnitude 1.80 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.335 m? ?rev(b) What is the angular speed of the wheels when the car has traveled half the total distance?? rad/s

A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)

A man stands on a merry-go-round that is rotating at 2.13 rad/s. If the coefficient of static friction between the man's shoes and the merry-go-round is ?s = 0.63, how far from the axis of rotation can he stand without sliding? (Enter the maximum distance in meters.) m

A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 2.10 m/s? after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.325 m? 69.4 rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s Need Help? Read It

A 170-kg merry-go-round of radius 2.10 m is rotated by pulling a rope that is wrapped around its edge. What is the magnitude of the force (assume it to be constant) on the rope needed to bring the merry- go-round from rest to an angular speed of 0.400 rev/s in 3.00 s? (The moment of inertia of merry-go- round is 1/2MR2).

The tires of a car make 85 revolutions as the car reduces its speed uniformly from 87.0 km/hkm/h to 58.0 km/hkm/h. The tires have a diameter of 0.82 mm. What was the angular acceleration of the tires? If the car continues to decelerate at this rate, how much more time is required for it to stop? If the car continues to decelerate at this rate, how far does it go? Find the total distance.