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Kinematics - Uniform Circular Motion

  • Thread starter nahanksh
  • Start date
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1. Homework Statement
What is the period, T, of the satellite's orbit (G is the gravitational constant, 6.7 × 10-11 m3 kg-1 s-2) ?
(The picture is attached)http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam1/sp08/fig18.gif [Broken]


2. Homework Equations
a = w^2*r
w=2pi/period
F = -Gm1m2/(R^2)

3. The Attempt at a Solution

Using the force equation and "a=F/m",

I got a = GMe/Rs^2

And using a = w^2*Rs,

GMe/Rs^2 = w^2*Rs

Then, the angular velocity keeps having Rs^3 which doesn't seem to be right when compared to the answer...

What's wrong with my attempt?
Please help me out here...


The answer should be "T= 2*pi*Rs/sqrt(GMe)
 
Last edited by a moderator:

cepheid

Staff Emeritus
Science Advisor
Gold Member
5,183
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The answer should be "T= 2*pi*Rs/sqrt(GMe)

No, T should definitely be proportional to R3/2, that's where Kepler's Third Law comes from.
 
41
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Oh, so you think what i was doing was right..?
 

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