Your seat on a Ferris Wheel is at the indicated position at

Your seat on a Ferris Wheel is at the indicated position at time t = 0. Let t be the number of seconds elapsed after the wheel begins rotating counterclockwise. You find it takes 3 seconds to reach the top, which is 53 feet above the ground. The wheel is rotating 12 RPM and the diameter of the wheel is 50 feet. Let d(t) be your height above the ground at time t. (a) Argue that d(t) is a sinusoidal function, describing the amplitude, phase shift, period and mean.

Solution

a)

amplitude - 25

phase shift - 1.75

period - 5

mean - 28