The frequency of rotations amounts:
The speed in the geostationary orbit amounts
The Earth makes one turnover during the sidereal day, so its angle speed amounts:
The centripetal acceleration amounts:
In the circular orbit power working on the body is a centripetal force. In this case a strength of the gravitational attraction attracting the satellite toward the middle is this power of the Earth. In the geostationary orbit the currency of the Earth through the satellite is equal of the turnaround time of the Earth i.e. the precisely 1 sidereal day.