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.
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.
They could distinguish clearly the PP molecules from the EPC, eluted at the same temperature in the TREF system, by their different hydrodynamic volumes.
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.