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sugarntwiligh
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Homework Statement
The rings of a Saturn-like planet are composed of chunks of ice that orbit the planet. The inner radius of the rings is 170,000 km. The mass of this planet is 5.7x10^26 kg.
Find the period of an orbiting chunk of ice at the inner radius.
Homework Equations
The force of gravity on the Saturn-like planet:
g=(G)(Mass of planet)/(radius squared)
Centripical velocity (can I do this using g from above as a?):
a=(squared V)/r
Then, use value of calculated v:
V=(2)(3.14)(r)/(T) to find T
The Attempt at a Solution
I was able to calculate g, and used the above equations:
g=1.3156m/ssq
g=a (centripical)
1.3156m=(squared v)/(1.7x10^8m)
v=2.236x10^8m/s
2.236x10^8m/s=(2)(3.14)(1.7x10^8m)/(T)
T=4.77s
The correct answer is 2x10^4s.
Christina