A Billiard Ball, radius 1.25 in and mass of 165 g , is released from rest and rolls down a smooth incline (like galileos ramp...) that is 8 ft long. The incline has a height of 4 in going to 0 inches in 8 ft. There I no slipping.  a. How many revolutions did the ball make going down the incline? b. What was the angular acceleration of the ball? c. What was the tangential acceleration of the ball? d. What’s the difference? e. How long does it take the billiard ball to reach the bottom of the ramp? f. How fast is it traveling at the bottom of the incline? (what are the balls angular AND tangential velocity at the bottom of the ramp?) How would all this change if we used a golf ball instead? (mass 56 g radius 0.5 in)

You and your friend ride a merry-go round. You sit further away from center (2r) but your friend sits closer to the center (r). If the angular speed of the system is a constant, what can you say about following for you and your friend?a. linear speed? b. Angular speed?c. radial acceleration?b. tangential acceleration? 2c. if the ride starts with zero angular speed and run with constant angular acceleration of 2.00 rad/sradius 4m circle., calculate final angular displacement and linear displacement you and your friend travel?

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.  Suppose you are standing on the edge of a large freely rotating turntable.  What happens if you walk toward the center? Explain your answer clearly. The angle through which a rotating wheel has turned in time t is given      by q = 8.5t – 15.0t2 + 1.6t4, where q is in radians and t is in seconds. What is the average angular velocity between t = 1.0 s and 4.0 s What is the average angular acceleration between t = 1.0 s and 4.0 s When is the instantaneous angular acceleration equal to zero?

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17. A satellite orbits the Earth near the equator at a distance of 300 km from the Earth's surface. Use your determination of the tangential velocity of the satellite as it orbits the Earth to calculate its orbital period. a. 14 minutes b. 84 minutes 90 minutes None of these are correct C. d.

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2.) A spinning, flat disk of radius 2.0 m has a tangential velocity at its edge of 4.5 m/s. a. Consider a point 0.33 meters from the axis of rotation. Find the tangential velocity there? b. Find the angular velocity at the edge of the disk. c. Find the angular velocity at that point 0.33 m from the axis of rotation. d. Find its centripetal acceleration at the edge. e. Using "b." above find in radians how far the point on the edge travels in 15 s.

The diagram shows a top view of a child on a merry-go-round that is rotating counterclockwise. Assume the platform rotates without friction. If the child starts to walk towards the center of the merry-go-round … A. What happens to the moment of inertia of the system? B. What happens to the angular velocity of the system?

A child pushes a 1.5 kg solid cylinder of radius 0.40 m causing it to roll on the ground at 8.8 m/s. The cylinder reaches a hill and rolls up the hill before coming to a stop. His mother, having recently taken a physics class in a community college determines the height reached by the cylinder. The height reached by the cylinder is a. 3.7 m b. 1.2 m c. 4.2 m d. 5.9 m