You are riding a Ferris wheel that has a diameter of 200 ft

You are riding a Ferris wheel that has a diameter of 200 ft. One revolution takes 10 minutes. Write a formula (in radians) that describes your position above the ground at time t. Let t = 0 correspond to the time you are on the ground, at the bottom of the wheel.

Solution

diameter = 200 ft
circumference = pi D = pi(200) = 628.3 ft
so 628.3 ft/10 min = 62.83 ft/min = linear velocity