Radius of Gyration

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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 Radius of Gyration, 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.
References in periodicals archive ?
As the above theory asserts, the intrinsic viscosity should be a function of the hydrodynamic volume of the polymer chains in solution, regardless of macrostructure, with [Rg.
g] or chain stiffness, which decreases the hydrodynamic volume of the solubilized polymer coil and, therefore, the solution viscosity.
Viscosity development of shorter HASE polymers, on the other hand, benefits little from chain entanglement and hydrodynamic volume.
The hydrodynamic volume distributions of the three IPC fractions, eluted at 85[degrees]C, are shown in Fig.
Figure 7 shows the hydrodynamic volume distribution of the IPC-3 and PP-3 fractions eluted at 105[degrees]C.
The hydrodynamic volume distribution of the 40 [degrees] C and 85 [degrees] C fractions (IPC) and up to 85 [degrees] C (PP) are shown in Fig.
Figure 11 shows the hydrodynamic volume distributions obtained from the 105 [degrees] C fractions for PP and IPC.
Table 1 presents the values of g that were used for the correction in hydrodynamic volume of molecules containing different numbers of branch units.
These conclusions were proven to hold qualitatively when corrections for effects of long-chain branching on the hydrodynamic volume were introduced into the program.
All the polymers studied have been found to conform to a universal curve for DR when normalized for hydrodynamic volume fraction of polymer in solution (2, 3, 5-7, 9, 18).
polymer hydrodynamic volume fraction for the IPAM copolymers on the rotating disk rheometer at a given wall shear stress.