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A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit

ID: 2095933 • Letter: A

Question


A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate.
A particular Ferris wheel has a radius of 27 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 38 kg, sitting at location F, is traveling with velocity < 8.5, 0, 0> m/s.


1) What is the momentum of the child?

Explanation / Answer

angular momentum = I?

?=v/r=7.5/24=0.3125 rad/sec

I-mr^2=37*24^2=21312kg-m

angular momentum=6660 rad-kg-m/s

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