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In this video effect of gyroscopic couple on ships for three different motions: roll, pitch and steer is explained. following problem from the book of Theory of machine by S S Rattan is also solved to explain the concept.
The rotor of the turbine of a ship has a mass of 2500kg and rotates at a speed of 3200rpm counterclockwise when viewed from stern. The rotor has radius of gyration of 0.4m. Determine the gyroscopic couple and its effect when
The ship steers to the left in a curve of 80 m radius at a speed of 15 knots(1 knot= 1860m/h)
The ship pitches 5o above and 5o below the normal position and the bow is descending with its maximum velocity- the pitching motion is simple harmonic with a time period of 40s.
the ship rolls and at the instant, its angular velocity is 0.04 rad/s clockwise when viewed from the stern.
Also find the maximum angular acceleration during pitching.