The rolling moment on a ship at a given instant is \(12 \times 10^{6} \mathrm{Nm}\) clockwise when viewed from the rear. The rotor of the stabilizing gyroscope is of \(12 \times 10^{4} \mathrm{~kg}\) mass and spins at \(1200 \mathrm{rpm}\) clockwise when viewed from above. If the radius of the wheels about the spin axis is \(2 \mathrm{~m}\), determine the angular velocity of the precession to maintain the ship in an upright position.