RADIUS OF GYRATION

In terms of mass, the radius of gyration is a quantity in length for a rotating system, measuring the distance from a point P of a point mass of the same mass of the object of interest which would have the same moment of inertia I_zz of the body.

If the radius of gyration at the center of mass of the body, point C is known, the radius of gyration at an arbitrary point P can be found by applying the parallel axis theorem

Because the radius of gyration at point P is found by adding the squared value of the distance between the center and point P, the minimum radius of gyration will always be located at point C. The greater the radius of gyration, the greater the mass moment of inertia will be.