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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)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?

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)
Transcribed Image Text: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)
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