Radius of Gyration

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

Radius of Gyration

the quantity ρ permitting the moment of inertia of a body about a given axis to be expressed by the formula I = M/ρ², where M is the mass of the body. The radius of gyration has the dimension of length. For a homogeneous sphere, the radius of gyration with respect to the axis passing through its center is equal to , where R is the radius of the sphere.

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

In mechanics, the distance from the axis to a point such that, if the whole mass of a body were concentrated at it, the moment of inertia would remain unchanged.

单词	radius of gyration
释义	radius of gyration radius of gyration n (General Physics) a length that represents the distance in a rotating system between the point about which it is rotating and the point to or from which a transfer of energy has the maximum effect. Symbol: k or r. In a system with a moment of inertia I and mass m, k² = I/m Radius of Gyration 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 Radius of Gyration the quantity ρ permitting the moment of inertia of a body about a given axis to be expressed by the formula I = M/ρ², where M is the mass of the body. The radius of gyration has the dimension of length. For a homogeneous sphere, the radius of gyration with respect to the axis passing through its center is equal to , where R is the radius of the sphere. 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 In mechanics, the distance from the axis to a point such that, if the whole mass of a body were concentrated at it, the moment of inertia would remain unchanged. See RGY See RG
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