# Calculating the Resultant Force of a Ride

Question: In an amusement park ride called The Roundup, passengers stand inside a 19.0m diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown in the figure (see attachment).

A. Suppose the ring rotates once every 4.70s. If a rider's mass is 52.0kg, with how much force does the ring push on her at the top of the ride?

B. Suppose the ring rotates once every 4.70s. If a rider's mass is 52.0kg, with how much force does the ring push on her at the bottom of the ride?

C. What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?

*Please see attachment for complete problem (including diagram)

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#### Solution Preview

m = 52 kg, d = 19 m, r = 9.5 m, T = 4.7 s; g = 9.8 m/s^2

w = 2*pi/T

a) At the top, the resultant force on ...

#### Solution Summary

This solution provides the equations and variable values which need to be known in order to solve each component of this physics based question. This is all completed in about 100 words.