A tube of length $50 \mathrm{~cm}$ is filled completely with an incompressible liquid of mass $250 \mathrm{~g}$ and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity $x \sqrt{F} \,\mathrm{rad} \,\mathrm{s}^{-1}$. If $\mathrm{F}$ be the force exerted by the liquid at the other end then the value of $x$ will be __________.