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/s 2 . given g = 9.8 m/s 2 , the coefficient µ = 0.521 of static friction between a person and the wall, and the radius of the cylinder r = 4.4 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 40 kg person from falling down. answer in units of s.