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