You are designing the section of a roller coaster ride shown in the figure. Prev

Question

You are designing the section of a roller coaster ride shown in the figure.  Previous sections of the ride give the coaster a speed of 16.1 m/s at the top of the incline, which is 39.1 m above the ground.  Government safety regulations state that the riders' centripetal acceleration should be no more than 1.61 g's at the top of the hump and no more than 5.61 g's at the bottom of the loop.  Calculate:

a. the minimum radius for the semi-circular hump

b. the minimum radius for the vertical loop.

Please identifty variables and show work!!!

The picture of the rollercoaster is a height of 39.1 m to start and then drops down and then there is the semicircular hump "hill" and then a loop da loop.  

Explanation / Answer

Initially, E = PE + KE = M * 9.8m/s

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