An amusement park ride (known variously as the Rotor, the Turkish Twist and the Graviton) consists of a large vertical cylinder that is spun about it axis fast enough such that the riders remain pinned against its inner wall. The floor drops away once the cylinder has attained its full rotational speed. The radius of the cylinder is R and the coefficient of static friction between a rider and the wall is H. (i)Show that the minimum angular speed necessary to keep a rider from falling is given by w = √√g/μ, R. (ii) Obtain a numerical value for frequency in revolutions per minute if R = 4 m and u, = 0.4. www. 40 Mg

An amusement park ride (known variously as the Rotor, the Turkish Twist and the Graviton) consists of a large vertical cylinder that is spun about it axis fast enough such that the riders remain pinned against its inner wall. The floor drops away once the cylinder has attained its full rotational speed. The radius of the cylinder is R and the coefficient of static friction between a rider and the wall is H. (i)Show that the minimum angular speed necessary to keep a rider from falling is given by w = √√g/μ, R. (ii) Obtain a numerical value for frequency in revolutions per minute if R = 4 m and u, = 0.4. www. 40 Mg