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The Radius of Gyration kx of an Area (A) about an axis (x) is defined as: equ. (1)
kx equ. (2)
Where Ix is the Moment of Inertia about the axis (x), and A is the area. If no axis is specified the centroidal axis is assumed.
Using the Perpendicular Axis Theorem and equ. (1) from above it can be shown that: equ. (3)

 Mass Radius of Gyration

The Radius of Gyration kxx of a Mass (m) about an axis (x) is defined as: equ. (4)
k equ. (5)
Where I is the Moment of Inertia about the axis (x), and m is the mass.
If no axis is specified the centroidal axis is assumed.
Radius of Gyration Definition and Concept

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