One of the amusements at many carnivals is a rotating cylinder. The customers step inside and stand with their backs to the wall. The cylinder spins very rapidly, and at some angular velocity the floor is pulled away. The thrill-seekers now hang like flies on the wall. If the radius of the cylinder is 5.6 m, and the coefficient of static friction between the people and the wall is 0.5, what is the minimum angular velocity, w, at which the floor can be withdrawn?