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Old 12-11-2009, 10:07 PM #1
TheresCandyInMyCar
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Join Date: Aug 2009
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Homework Help ?

Not really that "college related" but I still need help with the following question:

The rings of a Saturn-like planet are composed of chunks of ice that orbit the planet. The inner radius of the rings is 75,000 km, while the outer radius is 180,000 km.The mass of this planet is 5.01 x 10^26 kg.

(a) Find the period of an orbiting chunk of ice at the inner radius.

(b) Find the period of an orbiting chunk of ice at the outer radius.

If you could please give the answer and steps to get there that'sd be great
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Old 12-11-2009, 10:14 PM #2
cww516
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as near as i can figure, you need to use newton's law of universal gravitation, and set that equal to normal acceleration, solve for tangential velocity. probably overly complicated, but that'd do it. once you know the tangential velocity, you can find angular velocity, divide by 2pi to get rotations/sec, take the inverse for period. might want to convert to something longer than a second, though.

edit:
G((m1*m2)/r^2) = abs(v^2)/r
v = sqrt(G*m1*m2/r)

Last edited by cww516 : 12-11-2009 at 10:22 PM.
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