Chapter 7 Section 71 Question 025 A Ferris wheel is 50 meter

Chapter 7, Section 7.1, Question 025 A Ferris wheel is 50 meters in diameter and boarded from a platform that is 5 meters above the ground. The sx o\'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 8 minutes. You make two complete revolutions on the wheel, starting at 0. Consider the function h-f n, the height above the ground (in meters) at time , in minutes. Determine the period amplitude and midi e of the function h = f(r). Period minute(s) meter(s) Midline h =

Solution

Diameter = 50 m

Amplitude = 25 m

Midline = h = 25 + 5 = 30 m

Period = 8 min

Now 2pi/b = 8 =======> b = pi/4

h(t) = -25*cos(pi/4*x) + 30