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Question

A ship moves with velocity v=36km/h along on arc of a circle of radius R=200m. Find the moment of the gyroscopic forces (in KN.m)exerted on the bearings by the shaft with a flywheel whose moment of inertia relative to the rotation axis equal I=3.8103kgm2 and whose rotation velocity n=300rpm. The rotation axis is oriented along the length of the ship. Round off to the nearest integer.

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Solution

The revolutions per minute of the flywheel being n, the angular momentum of the flywheel is l×2πn. The rate of precession is vR
Thus N=2πINVR=5.97kN.m

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