Radius of gyration

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. [1913 Webster]

If a burning coal be nimbly moved round in a circle, with gyrations continually repeated, the whole circle will appear like fire. --Sir I. Newton. [1913 Webster]

2. (Zo["o]l.) One of the whorls of a spiral univalve shell. [1913 Webster]

{Center of gyration}. (Mech.) See under {Center}.

{Radius of gyration}, the distance between the axis of a rotating body and its center of gyration. --Rankine. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Radius of gyration — is the name of several related measures of the size of an object, a surface, or an ensemble of points. It is calculated as the root mean square distance of the objects parts from either its center of gravity or an axis.Applications in structural… …   Wikipedia

  • 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 — Physics. 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 …   Universalium

  • 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 …  

  • 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. [1913… …   The Collaborative International Dictionary of English

  • Gyration — is another term for rotation. A center of actual rotation as well as rotational symmetry may be called gyration center, gyration point, or rotocenter. See also radius of gyration. Other terms with the gyro root for rotation are gyroscope and… …   Wikipedia

  • 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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