Consider the carnival ride in which the riders stand against the wall inside a l

Question

Consider the carnival ride in which the riders stand against the wall
inside a large cylinder. As the cylinder rotates, the floor of the cylinder
drops and the passengers are pressed against the wall by the centrifugal
force. Assuming that the coefficient of friction between a rider and the
cylinder wall is 0.5 and that the radius of the cylinder is 5m, what is
the minimum angular velocity and the corresponding linear velocity of
the cylinder that will hold the rider firmly against the wall?

Ans:1.25rad/sec 6.25m/s

Explanation / Answer

Centrifugal force = mv2/r

Frictional force = mg

Both should be equal for the rider to be firmly against the wall

=>mv2/r = mg

=>v2= r**g = 5*0.5*9.8

=> v = 4.95m/s

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