Satellites in geosynchronous orbit around the Earth have an orbital period equal

Question

Satellites in geosynchronous orbit around the Earth have an orbital period equal to the Earth's rotation period, about 24 hours. Such an orbit is about 40,000 km above Earth's surface. A radio signal which goes from one point on Earth up to the satellite and is then retransmitted down from the satellite to another point on Earth, each up-or-down transmission traveling 40,000 km, and the signals all traveling at the speed of light. When two people talk on a telephone, usually they wait to hear the end of each others' sentences before talking themselves (aside from soft and generally inarticulate syllables made as the other is speaking, indicating that one is listening). How long does the "dead time" last, the time between the end of one party's spoken sentence and when they hear the beginning of the other party's response, assuming the other party started talking as soon as they heard the first person come to a full stop?

Explanation / Answer

distance to travel light = 4x107 x 2 = 8 x 107 m

time taken to travel that distance= 8 x 107 / c ; c- light of speed = 3 x 108 ms-1

dead time= 0.267 s

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