Suppose g_e be the acceleration due to gravity at the equator and g_p be that at the poles' Assuming earth to be a sphere of radius R_e rotating about its own axis with angular speed $\mathrm{\omega }$ the g_p, - g_e, is given by

• A

  $\raisebox{1ex}{${\mathrm{\omega }}^2$}\!\left/ \!\raisebox{-1ex}{${\mathrm{R}}_{\mathrm{e}}$}\right.$

• B

  ${\mathrm{R}}_{\mathrm{e} }{\mathrm{\omega }}^2$

• C

  ${\mathrm{\omega }}^{2 }{{\mathrm{R}}^2}_{\mathrm{e}}$

• D

  ${\mathrm{\omega }}^2/{{\mathrm{R}}_{\mathrm{e}}}^2$