A body stetches a spring by a certain amount at the equator, Assuming earth to be a perfect sphere of radius R, g the acceleration due to gravity on the surface of the earth and omega, the angular speed of the earth, the height at which it will stretch the spring by the same amount at the poles is

A body stetches a spring by a certain amount at the equator, Assuming

1.	A body stetches a spring by a certain amount at the equator, Assuming earth to be a perfect sphere of radius R, g the acceleration due to gravity on the surface of the earth and omega, the angular speed of the earth, the height at which it will stretch the spring by the same amount at the poles is
Answer» R `R[1-SQRT(1-(OMEGA^(2)R//g))]` `(R)/(sqrt(1-(omega^(2)R//g)))` `[(1)/(sqrt(1-(omega^(2)R//g)))-1]` ANSWER :D