In an old-fashioned amusement park ride, passengers stand inside a 5.3- m -diame

Question

In an old-fashioned amusement park ride, passengers stand inside a 5.3-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 0.64 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kgallowed."

Explanation / Answer

Summing the forces in the vertical direction( +ve upward)
f-m*g >0
f > m*g
u*m*(w**2*r) > m*g
u*w**2*r > g
w > sqrt( g/(r*u) ) = sqrt(9.8/( (5.3/2)*.64) )
w > 2.40 1/s

n > 60/pi*w = 45.9 RPM

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