A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r $=14$ m$,$ and the friction between the wall and their clothes is s $=0\mathrm{.}51.$ Consider the tangential speed v of the ride's occupants as the cylinder spins.

$-$ Part $($a$)$

What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall?

vmin $=16\mathrm{.}4016\mathrm{.}40$Correct$!$

$$ Part $($b$)$

What is the frequency f in revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall?