A large ball (radius=0.75m) with an initial rotation speed of 36rad/s is rolling up an incline without slipping . If 54m up the incline it has slowed to a rotation rate of 12rad/s, what is its angular and linear deceleration? How far up the ramp will it go before starting to roll back down? How long will it take the ball to roll back down to its initial starting position?

A 0.2 m-radius wheel rotates clockwise from rest with constant angular acceleration of 0.2 rad/s2, what is the total distance or arc length will point A travel in 3s?

If a centrifuge has an inital angular velocity of 20 rotations per second and and a constant angular acceleration of 15 rad/s2 how fast is it rotating after 25 rotations in rotations per second.

Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness. (A) If a human centrifuge has a radius of 4.29 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s ?   (B) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/s

A bicycle wheel is rotating at 40 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s^2 What is the wheel's angular velocity, in rpm, 8.0 s later?

A point on the rim of a 0.81 m radius rotating wheel has a centripetal acceleration of 6.9 m/s2. What is the angular velocity of a point 0.42 m from the center of the wheel?

A cylinder spins along its symmetry axis at 20 rad/s and linearly slows down to a stop over 2 seconds. What is its angular acceleration and angular displacement?

The tires of a car make 85.0. revolutions as the car reduces its speed uniformly from 90.0 km/hr to 60.0 km/hr. The tires have a diameter of 0.90 m. What is the angular acceleration? If the car continues to slow down at this rate, how much more time is required to stop?

In order to keep a basement from flooding, it is necessary to pump 285 kg of water each minute from the basement up to a height of 3.28 m (and then outside). If 18.6% of the total energy used by the pump is wasted as heat, what is the minimum wattage pump that is required to keep the basement from flooding?

A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center.   (A)What is the initial angular momentum, LJ, of John? (B)What is the total initial angular momentum of the system? (C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?