A ship is pitching through a total angle of \(15^{\circ}\), the oscillation may be taken as simple harmonic and the complete time period us \(30 \mathrm{~s}\). The turbine rotor mass is \(500 \mathrm{~kg}\), its radius of gyration is 0.4 \(\mathrm{m}\) and it is rotating at \(2400 \mathrm{rpm}\). Calculate the maximum value of gyroscopic couple set up by the rotor and its effect, when the bow is descending and the rotor is rotating clockwise looking from aft. What is the maximum angular acceleration which the ship is subjected to while pitching?