Calculate Rotation Period for Amusement Park Ride

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SUMMARY

The discussion centers on calculating the longest rotation period for the amusement park ride "The Roundup," which features a 14.0 m-diameter rotating ring. The key formula used is V_c = (r * g)^(0.5) to determine the critical velocity needed to prevent riders from falling off at the top of the ride. The relationship between velocity, radius, and period is established through the equation v = 2 * π * r / T. The user successfully solved the problem by applying these equations.

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  • Understanding of circular motion dynamics
  • Familiarity with gravitational force concepts
  • Knowledge of basic algebra and trigonometry
  • Ability to manipulate equations involving velocity and period
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  • Study the principles of centripetal acceleration in circular motion
  • Learn about the forces acting on objects in vertical circular motion
  • Explore the concept of critical velocity in amusement park ride design
  • Investigate the effects of radius and speed on rotation periods in similar systems
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Students studying physics, particularly those focusing on mechanics and circular motion, as well as engineers involved in amusement park ride design and safety assessments.

techtrailer89
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Hi i am studying for a test and found this problem that i have no clue how to do.. I was hoping for some help with it like equation to start.
thanks

Homework Statement



In an amusement park ride called The Roundup, passengers stand inside a 14.0 m-diameter rotating ring. After the ring has acquired sufficient speed, it tilts into a vertical plane.
What is the longest rotation period of the ring such that the riders will not fall off at the top?

All i know is that the weight force much be less than normal force right? and do I use v=2*pi*r/T
I don't know where to start thanks
 
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Never mind I figured it out used V_c=(r*g)^(.5) to find v then just plug and chug
 
ok great then :)
 

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