Question

how GMm/r²= mrw(Omega)²​

Answer 1

Answer:

Gravitational force between two bodies at a distance r is given by:—

F=GmM/r2 ;if a body of mass’ m' is revolving around the body of mass M and it's orbit is stationary then centrifugal force must be equal to the gravitational force I.e. Fg= mv2/r .therefore,FG=Fg I.e.GmM/r2 =mv2/r;where v is the orbital motion of the orbiting body of mass M.