Design a carnival ride on which standing passengers are pressed against the inside curved wall of a rotating vertical cylinder. It is to turn at most at 1/3 revolution per second. Assuming a minimum coefficient of friction of 0.70 between clothing and wall, what diameter should the ride have if we can safely make the floor drop away when it reaches running speed?

1 answer

Ac = v2/R =omega^2 r = g/.7 =9.81/.7 = 14

r = 14/omega^2

but omega = 2 pi (1/3) = 2.09 radians/s
omega^2 = 4.38
r = 14/4.38 = 3.19 meters