K 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 37 kg, sitting at location H, is traveling with velocity m/s. What is the momentum of the child? P = (0,255.3,0) kg.m/s In the definition LA = F X P what is the vector r? F = (-22,0,0) m What is TI? T1 = 22 m What is the magnitude of the angular momentum of the child, about location A? LA kg.m2/s Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A: LAZ = kg.m /s You used the right-hand rule to determine the z-component of the angular momentum, but as a check, calculate LAz in terms of position and momentum: What is . Py? . Py = kg.m2/s 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 G, with coordinates m relative to location A, moving with velocity m/s. Now what is . Py? X . Py = kg.m2/s What is y . Pz? y . PI = kg.m2/s What is the z-component of the angular momentum of the child, about location A? LAZ = kg.m2/s