Rotation Quiz True or False

1. The wheels on the bus go round and round, round and round, round and round at 35 rad/s. If the wheels have a diameter of 40 cm, how long will it take them to move the bus 1 km? -> 5.7 s
2. A Ferris wheel starts from rest. If it accelerates at 0.05 rad/s2 to a max rotational speed of 0.10 rad/s, how long will it take to make a complete revolution? -> 61.8 s
3. What is the moment of inertia of a bola consisting of two weights of mass m connected to a rope by two strands of length r? ->
4. How much more force does Vanna White need to spin the wheel of fortune at 2 rad/s2 when she pulls from a point near its green center, versus pulling on the edge of the wheel, 1 m away from the edge of the green circle? The wheel weighs 20 kg and has an overall radius of 1.6 m. -> 53.3 N
5. What is the torque created by holding a 5 kg dumbbell at a full arm's length (0.9 m) from your chest? -> 4.5 N · m
6. A ship's captain turns his large steering wheel clockwise by applying a force of 30 N down on the ride side of the wheel with his right hand and an equal force of 30 N up on the left side of the wheel with his left hand. The wheel weighs 10 kg (mostly along the outside rim, like a hoop) and has a diameter of 1.2 m. What is its translational acceleration and its rotational acceleration? -> 0 m/s2, 10 rad/s2
7. If no outside torque is applied, a spinning object that doubles its angular velocity must have: -> divided its moment of inertia by four
8. What is the angular momentum of a 1000 kg car traveling at 80 km/hr around a turn with a radius of 30 m? -> 666,667 kg · m2/s
9. A ball is sliding along a frozen lake at 5 m/s, until it reaches the shore, where it starts to roll. What is its translational speed once it starts rolling? -> 4.23 m/s
10. As a tire rolls along, it feels a torque of 10 N · m due to friction attempting to stop it. If the tire's radius is 20 cm and it is cylinder-shaped with a mass of 10 kg, how far will it travel before coming to a rest if it starts at 15 m/s? -> 2.25 m

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