In an amusement park ride called The Roundup, passengers stand inside a 18.0 m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown: Suppose the ring rotates once every 4.50 s . If a rider's mass is 56.0 kg , with how much force does the ring push on her at the top of the ride? Suppose the ring rotates once every 4.50 s . If a rider's mass is 56.0 kg , with how much force does the ring push on her at the bottom of the ride? What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.9P
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In an amusement park ride called The Roundup, passengers stand inside a 18.0 m -diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane, as shown:

  • Suppose the ring rotates once every 4.50 s . If a rider's mass is 56.0 kg , with how much force does the ring push on her at the top of the ride?
  • Suppose the ring rotates once every 4.50 s . If a rider's mass is 56.0 kg , with how much force does the ring push on her at the bottom of the ride?
  • What is the longest rotation period of the wheel that will prevent the riders from falling off at the top?
     
Rotation
axis
Transcribed Image Text:Rotation axis
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