In an old-fashioned amusement park ride, passengers stand inside a 3.0 m tall, 5 m diameter hollow
steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis.
Then the floor on which the passengers are standing suddenly drops away! If all goes well, the
passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against
steel in the range 0.51 to 1.0 and a kinetic coefficient in the range 7 to 0.70. What is the minimum
angular velocity in order to have a safe ride (in rad/s)? (Hint: The friction is the force that cancels
gravity and the normal force is the centripetal force)