Question

Suppose that after you are loaded into a FerrisWheal car, the wheel beguins turning at 3 revs/min.The wheal had a diameter of 20m and the bottom of the seat of the wheel is 2m above the ground. Express the hight of the seat above the ground as a function of time (t seconds), after it begins turning.

Answer 1

The ferris wheel angle of the car from the lowest position is
A = 2 pi f t where f = 3/60 = 0.05 rev/second and t is the time it passes the lowest position

The height of the seat above the ground has a minimum value of 2 m.

At other times, the height h is

h = 2 + 20 (1 - cos 2 pi f t)

Answer 2

Period = 20 sec
2pi/k = 20, k = pi/10

amplitude = 10
so how about:

height = 10sin pi/10(t-5) + 12

check:
t=0, height = 2
t=5, height = 12
t=10, height = 22
t=15 height = 12
t= 20 height = 2 , checks out.

Answer 3

I assumed the radius was 20, but it was the diameter. 20 in my equation should be 10.