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How much time the satellite will take to...

How much time the satellite will take to complete one revolution around the earth?

Text Solution

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Given : Height of the satellite above the earth's surface = 35780 km
Velocity of the satellite = 3.08 km/sec
Solution: Suppose, the satellite takes T seconds to complete one revolution around the earth. The distance travelled during this one revolution is equal to the circumference of the circular orbit. If r is the radius of the orbit, the satellite will travel a distance `2pir` during one revolution. Thus, the time required for one complete revolution can be obtained as follows:
`v=sqrt("distance"/"time")="circumference"/"time"=(2pir)/T`
`T=(2pir)/v=(2pi(R+h))/v`
=`(2xx3.14(6400+35780))/3.08`
=86003.38 sec.
=23.89 hrs. = 23 hrs. 54 M.
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