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Precession Of Gyroscope

Jul 05, 2019

When the rotor rotates at a high speed, if an external moment acts on the outer ring shaft, the gyroscope will rotate around the inner ring shaft; if an external moment acts on the inner ring shaft, the gyroscope will rotate around the outer ring shaft. The direction of the angular velocity of rotation is perpendicular to the direction of action of the external moment. This characteristic is called the precession of the gyroscope. The direction of the precessional angular velocity depends on the direction of the momentum moment H (consistent with the direction of the rotor rotation angular velocity vector) and the direction of the external moment M, and the rotation angular velocity vector catches the external moment with the shortest path. As shown.

dtg

This can be determined by the right hand rule. That is, straighten the right hand, the thumb is perpendicular to the index finger, the finger follows the direction of the axis of rotation, the palm is facing the positive direction of the moment, and then the palm and the 4 finger bend the fist, then the direction of the thumb is the direction of the precession angular velocity.

The magnitude of the precessional angular velocity depends on the magnitude of the rotor momentum moment H and the magnitude of the external moment M, which is calculated as the precession angular velocity ω=M/H.

There are also three factors that influence the size of precessibility:

1. The greater the external force, the greater the precession angular velocity;

2. The greater the moment of inertia of the rotor, the smaller the precession angular velocity;

3. The greater the angular velocity of the rotor, the smaller the precession angular velocity.



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