You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 13.1 m/s at the top of the incline, which is h = 39.1 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should 1.65 g at the top of the hump and no more than N = 5.29 g at the bottom of the loop. For this initial be no more than n = phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)
You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 13.1 m/s at the top of the incline, which is h = 39.1 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should 1.65 g at the top of the hump and no more than N = 5.29 g at the bottom of the loop. For this initial be no more than n = phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)
An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section2.4: Acceleration In Uniform Circular Motion
Problem 2.6CE
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1. What is the minimum radius Rhump you can use for the semi-circular hump?
2. What is the minimum radius Rloop you can use for the vertical loop?
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