-->

Motion In Straight Line

Question
CBSEENPH11017791

What is the time period of a satellite revolving just near the surface of the earth?

Solution
The time period of satellite is given by,
                   straight T equals square root of fraction numerator 4 straight pi squared over denominator GM end fraction straight r cubed end root 
where, r is the radius of the orbit.
When the satellite just revolves around the earth, then r = R
Therefore,
Time period of satellite near the surface of the earth is, 
straight T equals square root of fraction numerator 4 straight pi squared over denominator GM end fraction straight R cubed end root space equals space 2 straight pi square root of straight R over straight g end root
  equals 2 straight pi square root of fraction numerator 6.4 cross times 10 to the power of 6 over denominator 9.8 end fraction end root equals 5077 straight s
space space equals 1.41 space hour