Consider Earth to be a sphere of radius $R_e$ rotating about its own axis with angular speed $\omega$. If $g_{E}$ and $g_{P}$ are the accelerations due to gravity at the equator and the poles respectively,then $(g_{P}-g_{E})$ is given by $\left[\cos (0^{\circ})=\sin (\frac{\pi}{2})=1, \sin (0^{\circ})=\cos (\frac{\pi}{2})=0\right]$

• A
  $\frac{R_{E}}{\omega^2}$
• B
  $R_{E} \omega^2$
• C
  $R_{E} \omega$
• D
  $R_{E}^2 \omega^2$