A Ferris wheel is 22 meters in diameter and boarded and boar

A Ferris wheel is 22 meters in diameter and boarded and boarded in the six o\'clock position form a platform that is 2 meters above the ground. The wheel completes one full revolution every 6 minutes. At the initial time t = 0 you are in the twelve o\'clock position. Find a formula, using the sine function, for your height above ground after I minutes on the Ferris wheel. f(t) =

Solution

Solution:

At the top when t=0, so no phase shift
h = Asin(at)+k
center of wheel is at 2 + 22/2 = 13, so
h = Asin(at) + 13
wheel radius is 11, so
h = 11sin(at)+13
period = 6, so use 2/6 = /3

f(t) = h = 11sin(t/3) + 13