![]() ![]() Then radius of gyration can be used to characterize the typical distance travelled by this point. ![]() One can represent a trajectory of a moving point as a body. It is actually the perpendicular distance from point mass to the axis of rotation. Mathematically the radius of gyration is the root mean square distance of the object's parts from either its center of mass or a given axis, depending on the relevant application. For reference, the moment of inertia of a solid circle is: (check our moment of inertia table here ). Radius of gyration or gyradius of a body about the axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, if the total mass of the body were concentrated there. This formula can be deducted, if we consider the circular tube, in the context of moment of inertia calculation, as equivalent to the difference between two solid circular sections: one for the outer circle and the another for the inner circle. ![]() Distance from center of mass to axis of rotation ![]()
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