radius of gyration

radius of gyration
the distance from an axis at which the mass of a body may be assumed to be concentrated and at which the moment of inertia will be equal to the moment of inertia of the actual mass about the axis, equal to the square root of the quotient of the moment of inertia and the mass.
[1875-80]

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Universalium. 2010.

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  • Radius of gyration — Gyration Gy*ra tion (j[ i]*r[=a] sh[u^]n), n. 1. The act of turning or whirling, as around a fixed center; a circular or spiral motion; motion about an axis; rotation; revolution. [1913 Webster] The gyrations of an ascending balloon. De Quincey.… …   The Collaborative International Dictionary of English

  • radius of gyration — the radius of a cylindrical surface coaxial with the axis of rotation of a body such that if the entire mass of the body were concentrated in that surface the moment of inertia and energy of rotation would be unchanged the radius of gyration… …   Useful english dictionary

  • radius of gyration — noun the square root of the quotient of the moment of inertia of a body, about a given axis, and its mass …  

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  • Gyration tensor — The gyration tensor is a tensor that describes the second moments of position of a collection of particles :S {mn} stackrel{mathrm{def{=} frac{1}{N}sum {i=1}^{N} r {m}^{(i)} r {n}^{(i)}where r {m}^{(i)} is the mathrm{m^{th Cartesian coordinate of …   Wikipedia

  • Radius — For other uses, see Radius (disambiguation). Circle illustration In classical geometry, a radius of a circle or sphere is any line segment from its center to its perimeter. By extension, the radius of a circle or sphere is the length of any such… …   Wikipedia

  • Gyration — Gyration,   die Bewegung eines elektrisch geladenen Teilchens in einem konstanten Magnetfeld unter dem Einfluss der Lorentz Kraft. Der Radius der Kreisbahn des betreffenden Teilchens wird als Gyrationsradius bezeichnet; er ergibt sich zu rG = mv …   Universal-Lexikon

  • Center of gyration — Gyration Gy*ra tion (j[ i]*r[=a] sh[u^]n), n. 1. The act of turning or whirling, as around a fixed center; a circular or spiral motion; motion about an axis; rotation; revolution. [1913 Webster] The gyrations of an ascending balloon. De Quincey.… …   The Collaborative International Dictionary of English

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