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The rotor (see the figure below) is an amusement park ride where people stand ag

ID: 1536538 • Letter: T

Question

The rotor (see the figure below) is an amusement park ride where people stand against the inside of a cylinder. Once the cylinder is spinning fast enough, the floor drops out. (a) What force keeps the people from falling out the bottom of the cylinder? (b) If the coefficient of friction is 0.400 and the cylinder has a radius of 2.70 m, what is the minimum angular speed of the cylinder so that the people don't fall out? (Normally the operator runs it considerably faster as a safety measure.) rad/s (select) centrifugal force static friction centripetal force kinetic friction gravity

Explanation / Answer

a] static friction

it will balance the weight

b] uN = mg

umw^2r = mg

w = sqrt(g/ur)

= sqrt(9.8/(0.40*2.70))

= 3.012 rad/s answer

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