Finding minimum angular speed? in rpms

AI Thread Summary
To determine the minimum angular speed in rpm for the amusement park ride to keep passengers from sliding down, one must consider the forces acting on them, particularly centripetal force and friction. The static coefficient of friction, which ranges from 0.61 to 1.0, is crucial in calculating the frictional force that prevents sliding. The relationship between mass, friction, and angular speed can be expressed through equations involving these coefficients. Understanding how these forces interact will help in deriving the necessary angular speed for safety. Calculating this speed ensures that passengers remain securely against the wall when the floor drops.
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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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