Delhi is at latitude `30^(@)N` longitude `78.5^(@)` E. if the angular velocity of Earth is `omega` and radius is R then the effective acceleration due to gravity at Delhi is (g is the acceleration due to gravitational pull of the Earth

Options

A. `g-(3omega^(2)R)/(4)`
B. `g-(omega^(2)R)/(4)`
C. `g-omega^(2)R`
D. g

Explanation

From frame 1
Na `mg-momega^(2)R(cos 30^(@))^(2)`
`g_(eff)rArrg-omega^(2)R(cos 30^(@))^(2)`

`g_(eef)=g-g-(3omega^(2)R)/(5)`