The 100 meter diameter wheel needs to be designed so that it rotates at a constant rate and every complete revolution takes 15 minutes. The wheel has been installed in a vertical plane and the lowest seat is 2m above the ground surface. Each ride consists of only one full rotation.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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With reference to the attached scenario:

The 100 meter diameter wheel needs to be designed so that it rotates at a constant rate and every complete revolution takes 15 minutes. The wheel has been installed in a vertical plane and the lowest seat is 2m above the ground surface. Each ride consists of only one full rotation.

 

1) Using calculus, determine what the maximum horizontal and vertical speeds of the rider would be and at which points during the ride they occur.

 

2)State expressions for the acceleration of the rider in both horizontal and vertical directions and show that the resultant acceleration experienced by the rider is independent of where on the ride he/she might be.

 

 

 

Scenario
As a junior employee of a fairground and amusement company providing safe entertainment for
the public, you have been assigned to the design and build team responsible to create various
rides and fun activities at a theme park.
Your employer wishes to build a giant wheel similar to the one shown in Figure 1
Transcribed Image Text:Scenario As a junior employee of a fairground and amusement company providing safe entertainment for the public, you have been assigned to the design and build team responsible to create various rides and fun activities at a theme park. Your employer wishes to build a giant wheel similar to the one shown in Figure 1
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Hi, unfortunately I cannot see the whole equation as some seem to have been cut off of the viewing area on the page and it will not let me scroll across.

 

can you please rewrite the resultant acceleration equation.

thanks

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