A tube of length 1 m is filled completely with an ideal liquid of mass 2 M and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is $F$ then angular velocity of the tube is $\sqrt{\frac{F}{\alpha M}}$ in Sl unit. The value of $\alpha$ is $\_\_\_\_$