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Example problem in uniform circular motion ?

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Example problem in uniform circular motion ?

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  1. All around you:

    1. From up above:

    A. How high above the Earth is a geostationary orbit?

    http://en.wikipedia.org/wiki/Geostationa...

    B. Prove Kepler's third law for circular orbits:

    http://en.wikipedia.org/wiki/Kepler's_la...

    2. While driving:

    A. What should the angle be for banked circular curve of radius R designed for traffic at 65 mph? (i.e. so that at 65 mph, the sideways force is 0)

    http://farside.ph.utexas.edu/teaching/30...

    B. The car is going at a steady rate of 65 mph on 17" tires. How fast is the rim of the tire moving at the top (the furthest point from the road)? at 45 degrees from the top?

    3. In your computer:

    A. Suppose your hard-drive rotates at 7200 rpm. What is its linear velocity 2" from the axis? If the linear density is 200K bits/inch, what is the rate at which bits are transferred (read or written) at that radius?

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