Question

what is radius of gyration?? explain?

Answer 1

radius of a gyration is a quantity which describes the rotational inertia of the body performing the rotational motion

it is given by

k^2=i/m

where i is the moment of inertia and m is the mass of a body

Answer 2

Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance of a point from the axis of rotation at which, if whole mass of the body is assumed to be concentrated, its moment of inertia about the given axis would be the same as with its actual distribution of mass