Question:

Find out the correct relation for the dependence of change in acceleration due to gravity on the angle at the latitude due to rotation of earth?

dg∝cos³/²φ

dg∝cosφ

dg∝cos²φ

dg∝1/cosφ

We know that, the effective gravity g' at a latitude φ is given as g'=g−ω²R(cosφ)²
Thus, g−g'=dg=ω²R(cosφ)²