The turbine rotor of a ship has a mass of 4000 kg and a radius of gyration of 480 mm. It rotates at 2400 rev/min. clockwise when looking forward from the stern. In each of the following cases, determine the magnitude and indicate clearly with suitable diagrams the effect of the gyroscopic couple acting on the ship: (a) (b) (c) If the ship, when travelling at 15 ms¹ turns to starboard in a curve of 1000m radius. If the ship is pitching and the bow is descending with maximum velocity. The pitching motion is simple harmonic, the period being 20 seconds and the total angular movement is 12º. If the ship is rolling and at a certain instant has an angular velocity of 0.02 rad/sec. clockwise when looking forward from the stern.

The turbine rotor of a ship has a mass of 4000 kg and a radius of gyration of 480 mm. It rotates at 2400 rev/min. clockwise when looking forward from the stern. In each of the following cases, determine the magnitude and indicate clearly with suitable diagrams the effect of the gyroscopic couple acting on the ship: (a) (b) (c) If the ship, when travelling at 15 ms¹ turns to starboard in a curve of 1000m radius. If the ship is pitching and the bow is descending with maximum velocity. The pitching motion is simple harmonic, the period being 20 seconds and the total angular movement is 12º. If the ship is rolling and at a certain instant has an angular velocity of 0.02 rad/sec. clockwise when looking forward from the stern.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

The turbine rotor of a ship has a mass of 4000 kg and a radius of gyration of
480 mm. It rotates at 2400 rev/min. clockwise when looking forward from the
stern. In each of the following cases, determine the magnitude and indicate
clearly with suitable diagrams the effect of the gyroscopic couple acting on the
ship:
(a)
(b)
(c)
If the ship, when travelling at 15 ms¹ turns to starboard in a
curve of 1000m radius.
If the ship is pitching and the bow is descending with maximum
velocity. The pitching motion is simple harmonic, the period being
20 seconds and the total angular movement is 12º.
If the ship is rolling and at a certain instant has an angular velocity
of 0.02 rad/sec. clockwise when looking forward from the stern.

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