Question

Ferris wheel=123ft tall; 1rev./2min. Central angle theta form arc PA. What is the height of P as a function of time? Assume position A corresponds to t = 0.

Answer 1

Amplitude of revolution = radius of the wheel `=123/2=61.5`ft

Angular velocity of revolution `omega=(2pi)/2=pi`rad/min

Height of P at t minute

`h(t)=61.5-61.5cos(omega*t)`

`=>h(t)=61.5-61.5cos(pi*t)`ft