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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 14.3 m/s at the top of the incline, which is h = 37.1 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 be no more than n = 1.93 g at the top of the hump and no more than N = 5.21 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop? Rhump R1oop Roop R, hump 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 14.3 m/s at the top of the incline, which is h = 37.1 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 be no more than n = 1.93 g at the top of the hump and no more than N = 5.21 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop? Rhump R1oop Roop R, hump 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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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 14.3 m/s at the top of the incline, which is h = 37.1 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 be no more than n = 1.93 g at the top of the hump and no more than N = 5.21 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop? Rhump R1oop
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 14.3 m/s at the top of the incline, which is h = 37.1 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 be no more than n = 1.93 g at the top of the hump and no more than N = 5.21 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop? Rhump R1oop
Roop R, hump figure not to scale
Transcribed Image Text:Roop R, hump figure not to scale
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