Merry-go-rounds are a common ride in park playgrounds. The ride is a horizontal disk that rotates about a vertical axis at its center. A rider sits at the outer edge of the disk and holds onto a metal bar while someone pushes on the ride to make it rotate. Suppose that a typical time for one rotation is 5.0 s and the diameter of the ride is 16 ft.

Part A

For this typical time, what is the speed of the rider, in m/s?

Express your answer in meters per second.

Part B

What is the rider’s radial acceleration, in m/s2?

Express your answer in meters per second squared.

Part C

What is the rider’s radial acceleration if the time for one rotation is halved?

Express your answer in meters per second square