What is radius of Gyration?

It is calculated as the root mean square distance of the smallest parts of the object from either its center of gravity or a given axis.

Approved

it is the root mean square distance of the objects'' parts from either its center of gravity or a given axis.

RADIUS OF GYRATION ABOUT A GIVEN AXIS IS COMPUTED AS

R_G=[I/m]^1/2

where

I=> Moment of inertia.

m=> Mass of object.

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Approved

Radius of Gyration is the distance of a point from the axis of the centre where the whole mass of the body can be concentrated and the Moment if Inertia of the point is same as that of the original body.

Radius of Gyration, "G" is given by:

G=(I/M)^{1/2  where "I" is moment of Inertia and "M" is mass.}

Approved

but what is its theory?
what is it actually used for? 

For a planar distribution of mass rotating about some axis in the plane of the mass, the radius of gyration is the distance from the axis that all mass can be concentrated to obtain the same mass MOMENT OF INERTIA.

AND ITS APPLICATIONS CAN BE UNDERSTOOD IN HIGHER ENGINEERING PHYSICS.

EG. STRUCTURAL ENGINEERING, MECHANICS AND IT HAS MOLECULAR APLLICATIONS TO DESCRIBE THE DIMENSIONS OF POLYMER CHAIN. 

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