Question

Andy and Charlie are riding on a merry-go-round. Andy rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Charlie, who rides on an inner horse. When the merry-go-round is rotating at a constant angular speed, which of the following best describes Andy's angular speed?'

Answer 1

Complete Question:

Andy and Charlie are riding on a merry-go-round. Andy rides on a horse at the outer rim of the circular platform, twice as far from the center of the circular platform as Charlie, who rides on an inner horse. When the merry-go-round is rotating at a constant angular speed, which of the following best describes Andy's angular speed?'

( ) twice Charlie’s

( ) impossible to determine.

( ) the same as Charlie’s

( ) half of Charlie’s

Answer:

The same as Charlie's

Explanation:

As a merry-go-round is a rigid body, all points in the rotating body must have the same angular velocity, i.e., thet must rotate the same angle in the same time.

Otherwise, the distance between any pair of points on a given radius could be different in different times, which is not possible in a rigid body,