Coefficient of static friction problem

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SUMMARY

The discussion centers on calculating the minimum coefficient of static friction required to prevent slipping in a carnival "Rotor-ride" with a radius of 5.0 m and a rotation frequency of 0.60 revolutions per second. The user, Ryan, successfully calculated the velocity using the formula for circular motion but struggled to incorporate the friction coefficient into the problem. A key equation provided is μ = [(4π²)(f²)(r)]/g, which relates the coefficient of static friction to the ride's frequency, radius, and gravitational acceleration.

PREREQUISITES
  • Understanding of circular motion and related formulas
  • Knowledge of forces acting on objects in vertical circular motion
  • Familiarity with the concept of static friction and its coefficient
  • Basic algebra for manipulating equations
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  • Study the derivation of the centripetal force in circular motion
  • Learn about the relationship between frequency and angular velocity
  • Explore the implications of static friction in real-world applications
  • Investigate the effects of varying radius and frequency on static friction requirements
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Physics students, mechanical engineers, and anyone interested in the dynamics of rotational motion and frictional forces in practical scenarios.

rykirk
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Hey guys,

I was wondering if you could help me out with the following problem...

In a "Rotor-ride" at a carnival, people pay money to be rotated in a vertical cylindrically walled "room". If the room radius is 5.0 m and the rotation frequency is .60 revoloutions per second when the floor drops out, what is the minimum coefficient of static friction so that people will not slip down.

I keep getting stuck in the same place...I have calculated the velocity using the formula for circular motion that states v=(2*pi*r)/T, getting (10*pi)/2 and could easily get the acceleration of the ride by squaring the velocity and dividing by the radius..but I'm not 100% sure what to do after that. I know I need an equation in which the mass will cancel out on both sides, but I'm not sure how to tie the friction coefficient into the problem. :frown:

Any help would be greatly appreciated

Thanks a lot,

Ryan
 
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Remember in the cyclone the cetripetal force will be the normal force, (forces on x-axis) and on the y-axis we got the friction force pointin up and the weight pointing down.

Also a hint [tex]F_{f} = \mu N[/tex]
 
perhaps the equation you are looking for is

u (coeffi of static friction)= [(4pi^2)(f^2)(r)]/g
 

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