A geosynchronous satellite is one that appears to remain over one spot on

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rajeevr

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Earth, as shown below. Assume that a? Can you help me please

A geosynchronous satellite is one that appears to remain over one spot on Earth, as shown below. Assume that a geosynchronous satellite has an orbital radius of 4.30 multiplied by 107 m.

(a) Calculate its speed in orbit
km/s
(b) Calculate its period.
h
 
For a circular orbit:
centripetal acceleration = v^2 / r
=
gravitational acceleration = GM / r^2

Solve for the speed:
v = sqrt (GM/r)

And your period will be the circumference over the speed:
T = 2 pi r / v = 2 pi sqrt (r^3 / GM)

They give you the radius. Look up Newton's big G and the mass of the earth. Plugnchug. If you don't get roughly one sidereal day for the period, something is wrong.
 
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