Gravitation

The radius of earth is \(6400 \mathrm{~km}\) and acceleration due to gravity \(\mathrm{g}=10 \mathrm{~ms}^{-2}\). For the weight of body of mass \(5 \mathrm{~kg}\) to be zero on equator, rotational velocity of the earth must be (in \(\mathrm{rad} / \mathrm{s}\) )