Question

On a carousel, which go we moved fastest tangentially, one on the outer edge (horse A) of the carousel or closer to the middle (horse B).

A) of the carousel, which horse moves with faster angularly?

B) on the same carousel, which horse moves with faster angularly?

C) which horse would experience a larger angular acceleration?

D) which horse would experience a larger centripetal acceleration?

Answer 1

A)

Linear velocity = Distance traveled/ time taken

At the outer edge, distance traveled is more so linear velocity of horse A is more than linear velocity of horse B.

Horse A moves faster linearly than horse B.

B)

Angular velocity = angle made at the center / time taken

For both the horses angle made at the center in the given time will be same.

Angular velocity of horse A = Angular velocity of horse B.

C)

Angular acceleration = angular velocity /time

Since angular velocities of two horses are same, angular accelerations of two horses are also same.

D)

Centripetal acceleration is

Radius of horse A is greater than radius of horse B ( )

Centripetal acceleration of horse A is larger than centripetal acceleration of horse B.