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radius of gyration |
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radius of gyration [′rād·ē·əs əv ji′rā·shən] (mathematics) The square root of the ratio of the moment of inertia of a plane figure about a given axis to its area. (mechanics) The square root of the ratio of the moment of inertia of a body about a given axis to its mass. Radius of gyration A relation of the area or mass of a figure to its moment of inertia. If I is the moment of inertia about a line of a figure whose area is A, the figure's radius of gyration with respect to that line is. Accordingly, I = k2A. For a figure of mass M, I = k2M. In these equations, k is measured in length units such as feet. Geometrically similar figures have equal radii of gyration about corresponding centroidal axes. See Moment of inertia How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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