What would be the angular speed of earth, so that bodies lying on equator may appear weightless? $(g=10 m/s^2\; R=6400km)$

Question

\[(a)\;1.25 \times 10^{-3} rad/s \quad (b)\;1.25 \times 10^{-2} rad/s \quad (c)\;1.25 \times 10^{-4}\;rad/s\quad (d)\;1.25 \times 10^{-1}\;rad/s \]