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 $I=3.8\cdot {10}^{3}kg\cdot m^2$ and whose rotation velocity $n=300rpm$. The rotation axis is oriented along the length of the ship. Round off to the nearest integer.

Answer 1

The revolutions per minute of the flywheel being $n$, the angular momentum of the flywheel is $l\times 2\pi n$. The rate of precession is $\frac{v}{R}$
Thus $N=\frac{2\pi INV}{R}=5.97kN.m$