An amusement park ride comprises of a large vertical cylinder which spins about its axis fast enough which a person within is stuck on the wall and doesn’t slide down if the floor drops away. The acceleration of gravity is 9.8 m/s^2. Given g = 9.8 m/s^2, the coefficient 0.521 of static friction between the person and the wall, and the radius of the cylinder R = 4.4 m. For simplicity avoid the person's depth and suppose he/she just a physical point on the wall. The speed of person is v = 2(pi)R/T. Where T is the rotational period of the cylinder. (The time to complete a full circle) Determine the maximum rotation period T of the cylinder which would prevent a 40kg person from falling down. Answer must be in units of s.