A carousel with a 50-foot diameter makes 5 revolutions per minute.

Question

A carousel with a 50-foot diameter makes 5 revolutions per minute.



(a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.)

____radians per minute

(b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)

_____ feet per minute

Answer 1

(a)

One revolution is 2π radians.

Thus 5 revolutions is 10π radians (which is about 31.42).

And that is what the carousel does per minute.

(b)

Linear velocity is angular velocity (10π/min) multiplied by radius (25 ft).

That is about 785.40 ft/min