An amusement park ride called the Rotor consists of a room in the shape of a ver

Question

An amusement park ride called the Rotor consists of a room in the shape of a vertical cylinder 3.67 m in radius which, once the riders are inside, begins to rotate, forcing them to the wall. When the room reaches the angular speed of 3.0 rad/s, the floor suddenly drops out. It is deemed that this rate of rotation will be sufficient to keep a 400 lbf person pinned against the wall of the cylinder.

What is the minimum angular speed required to keep a 200 lbf person pinned against the wall of the cylinder?

Explanation / Answer

F= mv2/r for balanced condition

for inital case

[m* (3*3)]/3.67 = [m/2*(v*v)]/3.67

18 = v2

v = 4.243 rad/s

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