A thin uniform horizontal glass tube open at both ends (radius = R, length = L) is completely filled with water (density =   , surface tension = S) is being rotated with constant angular speed as shown in figure. Maximum angular speed with which it can be rotated such that water does not come out is ${\mathrm{\omega }}_{\max }=\sqrt{\frac{\mathrm{xS}}{{\mathrm{RL}}^2\mathrm{\rho }}}.$ Find the value of ‘$\mathrm{x}$’.