In an old-fashioned amusement park ride, passengers stand insidea 4.5-m-diameter hollow steel cylinder with their backs against thewall. The cylinder begins to rotate about a vertical axis. Then thefloor on which the passengers are standing suddenly drops away! Ifall goes well, the passengers will \"stick\" to the wall and notslide. Clothing has a static coefficient of friction against steelin the range 0.65 to 1.0 and a kinetic coefficient in the range0.40 to 0.70. A sign next to the entrance says \"No children under30 kg allowed.\" What is the minimum angular speed, in rpm, forwhich the ride is safe?
