Posted by Katie on Saturday, February 18, 2012 at 9:29am.
A satellite moves on a circular earth orbit that has a radius of 6.68E+6 m. A model airplane is flying on a 16.3 m guideline in a horizontal circle. The guideline is nearly parallel to the ground. Find the speed of the plane such that the plane and the satellite have the same centripetal acceleration.

physics  drwls, Saturday, February 18, 2012 at 10:40am
The satellite's centripetal acceleration at orbit radius R can be derived from using
a(sat) = G*Me*R^2,
(where G is the universal gravity constant and Me is the earth's mass), or by using
g(R)*(Re/R)^2 = 9.8*(6370/6680)^2
= 8.9 m/s^2
Set that equal to
a(plane)= V^2/r
where r = 16.3 m, and solve for V of the model plane

physics  Katie, Monday, February 20, 2012 at 11:51am
thank you
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