A communication satellite circles Earth in a geosynchronous orbit such that the

Question

A communication satellite circles Earth in a geosynchronous orbit such that the satellite remains directly above the same point on the surface of Earth. (a) What angular displacement does the satellite undergo in 1 h of its orbit? (b) Calculate the angular speed of the satellite in rev/min and rad/s. A communication satellite circles Earth in a geosynchronous orbit such that the satellite remains directly above the same point on the surface of Earth. (a) What angular displacement does the satellite undergo in 1 h of its orbit? (b) Calculate the angular speed of the satellite in rev/min and rad/s. A communication satellite circles Earth in a geosynchronous orbit such that the satellite remains directly above the same point on the surface of Earth. (a) What angular displacement does the satellite undergo in 1 h of its orbit? (b) Calculate the angular speed of the satellite in rev/min and rad/s.

Explanation / Answer

set the force of gravity equal to centripetal force.

GMm/r^2=mw^2*r
where w=2pi/period

w=2*3.14/360=0.01744 rad/sed

1rev/min=2pi rad/60 sec

1 rad/sec=60/2pi rev/min

w=0.166 rev/min

angular position =w*t=6.2784 rad

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