The Correlation of Gyroscope Axial Velocities

Abstract

In engineering, all movable expanse revolving objects manifest gyroscopic effects. These effects are created by the action of the outer load on the revolving items whose rotating mass originates eight inertial torques about two axes. Two torques of centrifugal forces, one torque of the Coriolis force originated by the rotating distributed mass, and the torque of the change in the angular momentum of the center mass act about each axis. The inertial torques activate rotations of the gyroscope by the determined correlation. Inertial torques depend on their geometry and orientation at the spatial coordinate system. The known analytical model for the rotation of the revolving disc about axes contains a mechanical error. This error was obtained by the incorrect integration of the centrifugal inertial torque. The corrected inertial torque yields the accurate expression for the interacted rotations of the revolving disc about axes.