CPM Homework Banner

Home > CALC > Chapter 7 > Lesson 7.3.5 > Problem 7-159


A Ferris wheel, feet in diameter, revolves at a rate of radians per minute. How fast is a passenger moving vertically when the passenger is feet higher than the center of the Ferris wheel and is rising?

Sketch a diagram. Assume the wheel is rotating counterclockwise and let the passenger be at acute angle and height above a horizontal radius. Do you see the right triangle? Write a geometric equation relating and ? Then implicitly differentiate the equation with respect to time.

 . You are trying to solve for .

Determine the value of when ft.
Once you compute this value, use the differential equation to solve the problem.