Finding minimum angular speed? in rpms

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SUMMARY

The discussion focuses on calculating the minimum angular speed required for passengers to remain safely against the wall of a 5.5-meter diameter amusement park ride cylinder after the floor drops. The static coefficient of friction ranges from 0.61 to 1.0, while the kinetic coefficient ranges from 0.40 to 0.70. To ensure safety, the angular speed must be sufficient to counteract gravitational forces acting on passengers weighing at least 30 kg. The relationship between mass, friction coefficients, and angular speed is crucial for determining this minimum speed.

PREREQUISITES
  • Understanding of angular velocity and its units (rpm)
  • Knowledge of static and kinetic friction coefficients
  • Familiarity with centripetal force equations
  • Basic principles of physics related to forces and motion
NEXT STEPS
  • Calculate minimum angular speed using the formula for centripetal force
  • Explore the effects of varying coefficients of friction on angular speed
  • Investigate safety standards for amusement park rides
  • Learn about the physics of rotational motion and its applications
USEFUL FOR

Physics students, amusement park ride designers, safety engineers, and anyone interested in the mechanics of rotational motion and friction.

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Finding minimum angular speed?? in rpms

In an old-fashioned amusement park ride, passengers stand inside a 5.5-m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.61 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kg allowed."

What is the minimum angular speed, in rpm, for which the ride is safe?

I know i need an equation that relates mass and the coefficiant frictions to the angular speed but I am having no such luck

any feedback or help would be greatly appreciated
 
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What forces are going to be acting on the passengers?

How does the coefficient of friction play into finding the frictional force?

These questions should get you started on getting an answer.
 

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