An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough such that any person inside is held up against the wall when the floor drops away. The coefficient of static friction between person and wall is 0.25 and the radius of the cylinder is 7m. (a) How many minimum revolutions per minute does the cylinder make? (b) Calculate the angular velocity and frequency of the motion at this condition. (c) What is the effect of the mass of the person on the time period, radial acceleration and tangential acceleration.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter4: Two-and-three Dimensional Motion
Section4.6: Special Case Of Uniform Circular Motion
Problem 4.6CE: A particle travels at a uniform linear speed around a circle of radius r = 0.5 m, completing one...
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An amusement park ride consists of a large vertical cylinder that
spins about its axis fast enough such that any person inside is held
up against the wall when the floor drops away. The coefficient of
static friction between person and wall is 0.25 and the radius of the
cylinder is 7m.

(a) How many minimum revolutions per minute does the cylinder
make?

(b) Calculate the angular velocity and frequency of the motion at
this condition.

(c) What is the effect of the mass of the person on the time period,
radial acceleration and tangential acceleration.

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