Question

A common amusement park ride is a Ferris wheel (see figure below, which is 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 24 s. 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 <7.2,0,0> m/s. (Assume that the +x axis is to the right, the +y axis is up along the page, and the +z axis is out of the page.) 

 (h) The Ferris wheel keeps turning, and at a later time, the same child is at location E, with coordinates (19.092,-19.092, 0) m relative to location A, moving with velocity (5.091, 5.091, 0) m/s. Now what is the magnitude of the angular momentum of the child about location A?

Answer 1