The capillary rise phenomenon of the water in a cylindrical tube is investigated in arbitrary acceleration. The surface roughness of water comes from thermal energy. The critical radius of a water drop between surface tension and volume force is shown as a function of acceleration. The governing equation for capillary rise in a cylindrical tube is shown in terms of the radius, surface tension, contact angle, viscosity, and acceleration. The maximum height of the water is inversely proportional to the diameter of the cylindrical tube. The motion of the water’s height is shown as a function of the diameter of the cylindrical tube. The height of the water’s rise is also shown as a function of time for different accelerations.