SOLUTION: A Satellite in Geostationary orbit stays over the same spot on earth. The satellite completes one orbit in the same time that earth rotates one about its axis (23.93 hours). If the

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Question 706744: A Satellite in Geostationary orbit stays over the same spot on earth. The satellite completes one orbit in the same time that earth rotates one about its axis (23.93 hours). If the satellite's orbit has radius 4.23*10^7 m, calculate the satellite's orbital speed (tangential velocity) in M/sec.
Answer by nerdybill(7384) About Me  (Show Source):
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A Satellite in Geostationary orbit stays over the same spot on earth. The satellite completes one orbit in the same time that earth rotates one about its axis (23.93 hours). If the satellite's orbit has radius 4.23*10^7 m, calculate the satellite's orbital speed (tangential velocity) in M/sec.
.
Circumference (distance traveled in 23.93 hours):
(pi)(2r)
(3.14)(2*4.23*10^7)
(3.14)(8.46*10^7)
26.56*10^7 m
.
26.56*10^7/23.93
1.11*10^7 m/hour
convert to m/sec:
1.11*10^7 m/hour * 1/60 hr/min * 1/60 min/sec
3083.58 m/sec