The mean radius of the earth is R, its angular speed about its own axes is or and the acceleration due to gravity at the earth'* surface is g. The cube of the radius of orbit of geostationary satellite will be
(a) (R2 g/ ω)
(b) (R2 ω/g)
(c) (Rg/ω2)
(d) (R2 g/ω2)
The correct option is (d) (R2 g/ω2).
Explanation:
For circular motion,
Centripetal force = Gravitational force
mrω2= GMm/r2
where, m is mass of satellite, M is mass of earth, co is the angular velocity.
