Question

what is radius of gyration

Answer 1

the distance from an axis at which the mass of a body may be assumed to be concentrated and at which the moment of inertia will be equal to the moment of inertia of the actual mass about the axis, equal to the square root of the quotient of the moment of inertia and the mass. Origin of radius of gyration

Answer 2

$\Large \text{Radius\: Of\: Gyration :-}$

❂ The radius of gyration of a body about an axis is defined as the perpendicular distance from the axis of mass point Whose mass is equal to the mass of all body and whose moment of inertia is equal to the moment of inertia of the body about Axis .

❂ SI unit of radius of gyration is metre

❂ The value of R depends on axis of rotation, i.e it is not constant for given body .