Question

A disk of radius r rotates freely about its center at a point located on the end.

a) The angular velocity is constant.
b) The angular velocity is changing.
c) The linear velocity is constant.
d) The linear velocity is changing.

Answer 1

The angular velocity of a disk rotating freely about its center is changing.

Step-by-step explanation:

The angular velocity of a disk rotating freely about its center depends on the point on the disk where the rotation is occurring.

If the rotation is happening at the end of the disk, the angular velocity is constant. This means that the disk is rotating at the same rate throughout its motion.

However, if the rotation is happening at any other point on the disk, the angular velocity is changing. This is because the distance from the axis of rotation is different at different points, causing the disk to rotate faster or slower depending on the distance.

Therefore, the correct answer is:

b) The angular velocity is changing.