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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