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 22 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 32 kg, sitting at location F, is traveling with velocity m/'s. What is the momentum of the child? 1-; = (220.8,0,0) kg-m/s I In the definition LA = F X 1' what is the vector :7"? F= (I) m What is '1? What is the magnitude of the angular momentum of the child, about location A? f. l A = E was Use the righthand rule to determine the zicomponent of the angular momentum of the child, about location A: Ln : :I mm You used the righthand rule to determine the zicomponent of the angular momentum, but as a check, calculate LA: in terms of position and momentum: What is 1 'Pu? What is y . PI? y . PI = kg.m2/s What is the z-component of the angular momentum of the child, about location A? LAz = kg.m2/s The Ferris wheel keeps turning, and at a later time, the same child is at location E, with coordinates m relative to location A, moving with velocity m/s. Now what is " . Py? x . Py = kg.m2/s What is y . Px? y . PI = kg.m2/s What is the z-component of the angular momentum of the child, about location A? LAZ = kg.m2/s