The third-tallest Ferris Wheel in the world is the London Eye in England.The height (in metres) of a rider on the London Eye after t minutes can be described by the function h(t) = 67sin [12(t + 0.0223)] + 70.

Question

a. At what time(s) will the rider be at the bottom of the Ferris wheel?
b. How long does it take for the Ferris wheel to go through one rotation?

Answer 1

(a) when sin(12(t + 0.223)) = -1
That is, when 12(t + 0.223) = 3π/2
(b) the period of sin(kt) is 2π/k