The vertical component of the tension in the string will be given by the force on the mass due to gravity, and the horizontal component will be given by the force required of the string to overcome the inertia of the mass and keep it moving in a circular path. From the radius of rotation and the length of the strings we can derive the inclination of the string. From this, the mass, and the known value of g, we may compute the angular velocity and the tension in the string.