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 1/7 revolution per second. Assuming a minimum coefficient of friction of 0.10 between clothing and wall, what diameter should the ride have if we can safely make the floor drop away when it reaches running speed?
r = vt / (2*pi)
r = (1/7)v/(2*pi)
r =~ 0.0227364v
μ = v^2 /rg
0.1 = v^2 /9.8*r
0.98 = v^2 / 0.0227364v
v's cancel and left with
0.98 = v / 0.0227364
then solve for V