An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that a person inside is stuck to the wall and does not slide down when the floor drops away.
The acceleration of gravity is 9.8 m/s², the coefficient µ =0.436 of static friction between a person and the wall, and the radius of the cylinder R =5.3 m. For simplicity, neglect the person’s depth and assume he or she is just a physical
point on the wall. The person’s speed is v = 2πR/T where T is the rotation period of the cylinder (the time to complete a full circle).
Find the maximum rotation period T of the cylinder which would prevent a 64 kg person from falling down.
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