The distance from the reference at which all of the area can be considered concentrated that still produces the same moment of inertia. Numerically it is equal to the square root of the moment of inertia, divided by the area.
This is a measurement of the effective weight distribution in a ball as it relates to the moment of inertia. It essentially is an indication of the resistance to rotation motion. It is equal to the square root of the moment of inertia divided by the weight.
The radius of gyration of any surface in reference to an axis is the distance from the axis to that point of the surface in which, if the whole area were concentrated, the moment of inertia in reference to the axis would be unchanged. It is therefore equal to the square root of the ratio of the moment of inertia over the area.
Mathematical term for how 'spread apart' the body is when a somersault or twist is done around an axis.
The mean square end-to-end | The radius of gyration | Flory's hypothesis | Appendix A | Appendix B
Geometrical property of cross section, (given by the square root of the second moment of area divided by the area of the section).
The radius of gyration R_{g} describes the distribution of particles (or infinitesimal elements) in a D-dimensional space by relating it to an equivalent distribution in a D-dimensional sphere, usually a circular (D=2) or spherical (D=3) distribution.