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An armusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is hetd up against the wall even when the floor is removed. The coetficient of static tuetion benween the person and the wall is , = 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 trictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in ta) (e) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the dium had constant angular acceleration. Find the number of rotations made by the person within this time.

An armusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is hetd up against the wall even when the floor is removed. The coetficient of static tuetion benween the person and the wall is , = 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 trictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in ta) (e) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the dium had constant angular acceleration. Find the number of rotations made by the person within this time.

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An armusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is hetd up against the wall even when the floor is removed. The coetficient of static tuetion benween the person and the wall is , = 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 trictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in ta) (e) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the dium had constant angular acceleration. Find the number of rotations made by the person within this time.
Transcribed Image Text:An armusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is hetd up against the wall even when the floor is removed. The coetficient of static tuetion benween the person and the wall is , = 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 trictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in ta) (e) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the dium had constant angular acceleration. Find the number of rotations made by the person within this time.
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