A ferris wheel has a diameter of 10 m and takes 24 sec to make one revolution. The lowest point on the wheel is 1 m above the ground. (4 marks) a. Sketch a graph to show how a rider's height above the ground varies with time as the ferris wheel makes a rotation. Assume the person starts the ride at the lowest point on the wheel.

b. Write a trigonometric equation that describes the graph.
c. Check the accuracy of your equation by using t = 12 sec. Explain why this provides a check of the accuracy of the equation. What are two more values that would provide a good check?

1 answer

surely you can solve at least some of these exercises. At least the amplitude?

Review the material about sinusoidal functions, and I think some of it will become clear.

Recall that

A sin(Bx)

has amplitude A and period 2pi/B.

Also, look at the graph of cos(x). It has a max at t=0. You want a min at t=0.