Answer to Question #192212 in Physics for Gsbdbejne

Question

1. A clothoid loop of a roller coaster is 40.0 m high with a radius of curvature of 10.0 m at the top. Assume that a cart rolls around the inside of the loop with nothing holding it onto the track (Hint: A clothoid loop has a radius which is constantly changing i.e., a different radius in different parts of the loop).

a) What is the minimum speed of the cart at the top of the clothoid loop?

b) What is the minimum speed of the cart on a circular loop of the same height?

c) Explain why modern roller coasters often have clothoid loops instead of circular loops.

Answer 1

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