Question

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?
A. The speed of the cylinder has decreased.
B. The speed of the cylinder has increased.
C. The magnitude of the acceleration of the cylinder has decreased.
D. The magnitude of the acceleration of the cylinder has increased.
E. The speed and the acceleration of the cylinder have not changed.

Answer 1

Answer:

A. The speed of the cylinder has decreased

Explanation:

The angular acceleration is the relation between the angular speed and the radius in this way so:

$a_c=\frac{v^2}{R}$

So solve to speed

$v=\sqrt{a*R}$

Now assume the cylinder moved a new location R/2 so:

$v=\sqrt{\frac{a*R}{2}}$

So the velocity decreased in the relation of the radius