The linear velocity of this Ferris wheel is ( ? ) meters per minute. Round to a whole minute.

Question

A Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. The function h(t) gives your height in meters above the ground t minutes after the wheel begins to turn.

Answer 1

For a circle with radius r the length of an arc spanning an angle θ is rθ. If this arc length is covered in a time t then the average linear speed is rθ/t. A full revolution means θ = 2π. If it takes a time T to complete a revolution then the average linear speed is 2πr/T.