Wall of Death in amusement park - Find number of revolutions

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SUMMARY

The discussion focuses on calculating the minimum number of revolutions per minute (RPM) required for riders to remain safely against the wall of the Wall of Death amusement park attraction. The cylinder has a radius of 3.5 meters and a coefficient of static friction of 0.32. The key equations involve the relationship between centrifugal force, normal force, and friction, emphasizing that the riders' weight is the vertical force that must be countered. The discussion highlights that the mass of the riders cancels out in the calculations, simplifying the problem.

PREREQUISITES
  • Understanding of centrifugal force equations
  • Knowledge of static friction and its coefficient
  • Basic physics concepts related to forces and motion
  • Familiarity with rotational dynamics
NEXT STEPS
  • Research the equation for centrifugal force in rotating systems
  • Study the principles of static friction and its application in real-world scenarios
  • Learn how to derive the relationship between RPM, radius, and centrifugal force
  • Explore examples of similar amusement park physics problems for practical understanding
USEFUL FOR

This discussion is beneficial for physics students, amusement park engineers, and anyone interested in the mechanics of rotating systems and safety measures in thrill rides.

BeatTheRuckus
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Here is the question:
The Wall of Death in an amusement park is comprised of a vertical cylinder that can spin around the vertical axis. The radius of the cylinder is 3.5 m and the coefficient of static friction between the rider and the wall is 0.32. Find the minimum number of revolutions per minute necessary so that the riders do not slip down the wall (enter rev/min).
I think I am doing it right, but I do not know
 
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The vertical force you have to overcome is the riders weight.
The friction force is the normal force (force outward) * coef friction.

You just need to know the outward (centrifugal) force on a spinning object.
 
the thing is, I do not know the riders' weight/mass, or velocity
 
When you write down the equations something happens to the mass...
You do know the riders velocity, you have the radius and the rev/second - but you don't need it. Start by looking up the equation for centrifugal force
 

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