Question
Consider the child's playground merry-go-round wheel. The steel disk has mass of 300 kg, a radius of 2 meters, and a smooth low-friction bearing at
Consider the child's playground merry-go-round wheel.
The steel disk has mass of 300 kg, a radius of 2 meters, and a smooth low-friction bearing at its center. You could make it spin by applying a force to the rim, holding on to a handle as you walk and then run around in a circle. This torque increases the angular momentum of the disk. If your mass is 80 kg, then gravity is pulling down on you with a force of mg, about 800 N. Earth pushes back up with a normal force, and friction with the ground allows you to push forward without slipping. A reasonable force you could exert on the wheel is 180 N, pushing near the rim 2 meters from the center.
What mass could you pick up with a force of 180 newtons? That will give you a sense of how much force this really is. The "physics" answer is in kilograms. Most Americans will answer in "pounds", but also give the weight you pick up in pounds as if you had to explain this to someone unfamiliar with metric units.
How long would you have to apply this force it to get the wheel spinning 4 times a minute?
How fast would you be moving to keep up with the wheel spinning at that rate?
Suppose you stop pushing for a moment and let go. Before the wheel slows up because of friction on its central bearing, it will continue to rotate as you run along side to keep up. You then smoothly get on while running along. What happens to the rotation of the wheel as you go on board, keeping up with its rotation until your feet are not on the ground?
What happens to the rotation rate of the wheel if you move toward the center from the edge?
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