Uniform Circular Motion Video Lessons

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Problem: In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-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 of 0.60 to 1.0 and a kinetic coefficient in the range of 0.40 to 0.70.What is the minimum rotational frequency, in rpm, for which the ride is safe?

FREE Expert Solution

Newton's second law,

ΣF=ma

Normal force,

N = mω2r

ΣFr = N = mω2r

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Problem Details

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-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 of 0.60 to 1.0 and a kinetic coefficient in the range of 0.40 to 0.70.

What is the minimum rotational frequency, in rpm, for which the ride is safe?

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