Question
An earth satellite moves in a circular orbit with orbital speed of 6km/s. Find the time period of one revolution and radial acceleration of the satellite.
Solution
Let r be the radius of the circular orbit.
The orbital velocity of satellite is given by,

i.e.,
The time period of one revolution is,
or 
Here, we have
Acceleration due to gravity,
Radius of the Earth,
Orbital velocity,
Therefore,
Time period,
The radial acceleration of satellite is,
i.e.,
The orbital velocity of satellite is given by,

i.e.,

The time period of one revolution is,




Here, we have
Acceleration due to gravity,

Radius of the Earth,

Orbital velocity,

Therefore,
Time period,

The radial acceleration of satellite is,

i.e.,
