An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, =0.3 and the radius of the drum is R = 2m. (a) Find wmin the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (c) Suppose the drum started and reached the speed you found in 120 seconds. During this time the dru had constant angular acceleration. Find the number of rotations made by the person within this time.

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Chapter1: Units, Trigonometry. And Vectors
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An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even
when the floor is removed.
The coefficient of static friction between the person and the wall is u, =0.3 and the radius of the drum is R = 2m.
(a) Find wmin the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the
floor is removed, the person is held up by the static frictional force).
(b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a)
(c) Suppose
the drum started
and reached the speed you found
in 120 seconds. During this time the dru
had constant angular
acceleration. Find the number of rotations made by the person within this time.
Transcribed Image Text:An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, =0.3 and the radius of the drum is R = 2m. (a) Find wmin the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a) (c) Suppose the drum started and reached the speed you found in 120 seconds. During this time the dru had constant angular acceleration. Find the number of rotations made by the person within this time.
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