If earth is supposed to be a sphere of radius R, if g₃₀ is value of acceleration due to gravity at latitude of 30o and g at the equator. The value of ( g = g₃₆) is :

• A

  $\frac{1}{4}{\mathrm{\omega }}^2\mathrm{R}$

• B

  $\frac{3}{4}{\mathrm{\omega }}^2\mathrm{R}$

• C

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

• D

  $\frac{1}{2}{\mathrm{\omega }}^2\mathrm{R}$