Let be the distance between the cylinder and the center of the turntable. Now as

Question

Let be the distance between the cylinder and the center of the turntable. Now assume that the cylinder is moved to a new location 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. 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 will travel a smaller circumference in the same time, so its speed will decrease; since the circumference has decreased by a factor of 2, the speed will decrease by a factor of 2 the centripetal acceleration varies as v^2/r v decreases by a factor of 2, so v^2 decreases by a factor of 4; r decreases by a factor of 2 so v^2/r decreases by a factor of 2; the acceleration decreases

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