In an old-fashioned amusement park ride passengers stand, Physics

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In an old-fashioned amusement park ride passengers stand

Question: In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-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 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70.

Part A: What is the minimum rotational frequency, in RPM, for which the ride is safe?

Please show all work and steps to determine the minimum rotational frequency.

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