A Ferris wheel has a 48-foot radius and the center of the Ferris wheel is 54 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Kevin boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Kevin has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Kevin to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Kevin's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Kevin's height above the ground (in feet) in terms of t. f(t) Preview

A Ferris wheel has a 48-foot radius and the center of the Ferris wheel is 54 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Kevin boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. a. Write an expression (in terms of t) to represent the number of radians Kevin has swept out from the 3-o'clock position since the ride started. Preview b. How long does it take for Kevin to complete one full revolution (rotation)? minutes Preview c. Write an expression (in terms of t) to represent Kevin's height above the center of the Ferris wheel (in feet). Preview d. Write a function f that determine's Kevin's height above the ground (in feet) in terms of t. f(t) Preview

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 63PQ

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