Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
A geosynchronous satellite is one that appears to be fixed in the sky, a condition useful for telecommunications. If such a sat...Asked by LOL
A geosynchronous satellite is one that appears to be fixed in the sky, a condition useful for telecommunications. If such a satellite orbits the earth at an altitude of 49500 km above the earth's surface, what is its centripetal acceleration? The radius of the Earth is about 6370 km.
Answers
Answered by
Damon
R = 6,370,000 + 49,500,000 = 5.59 * 10^7 meters
omega = 2 pi / T = 2 pi /(24*3600) = 7.27 10^-5 radians/second
Ac = R omega^2 = 5.59^10^7 * 5.28 *10^-9 = 29.5 *10^-2 = 0.295 m/s^2
lets guess at g at that height
9.81 at R = 6.37*10^6
what at R = 4.95*10^7 ???
goes as 1/R^2
(6.37/49.5)^2 = 0.0166
0.0166 * 9.81 = 0.162 m/s^2
hmmm, g is not equal to Ac, check all my arithmetic
omega = 2 pi / T = 2 pi /(24*3600) = 7.27 10^-5 radians/second
Ac = R omega^2 = 5.59^10^7 * 5.28 *10^-9 = 29.5 *10^-2 = 0.295 m/s^2
lets guess at g at that height
9.81 at R = 6.37*10^6
what at R = 4.95*10^7 ???
goes as 1/R^2
(6.37/49.5)^2 = 0.0166
0.0166 * 9.81 = 0.162 m/s^2
hmmm, g is not equal to Ac, check all my arithmetic
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.