A small metal cylinder rests on a circular turntable that is rotating at a const

Question

A small metal cylinder rests on a circular turntable that is rotating at a constant rate, as illustrated in the diagram. A -Which of the following sets of vectors best describes the velocity, acceleration, and net force acting on the cylinder at the point indicated in the diagram? B-Let R be the distance between the cylinder and the center of the turntable. Now assume that the cylinder is moved to a new location R/2 from the center of the turntable. Which of the following statements accurately describe the motion of the cylinder at the new location? Check all that apply: The speed of the cylinder has decreased. The speed of the cylinder has increased. The magnitude of the acceleration of the cylinder has decreased. The magnitude of the acceleration of the cylinder has increased. The speed and the acceleration of the cylinder have not changed.

Explanation / Answer

The cylinder at distance R movers 2pR per period of revolution. At R/2 it moves 2pR/2 = pR per period. Therefore the speed is 1/2 of the original speed.

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