Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Radius of gyration, abbreviated as k or r, also called gyradius, is the distance from the axis of rotation to a point where the total mass of the body is supposed to be concentrated.

 $$\large{ k = \sqrt{ \frac{ I }{ A } } }$$
$$\large{ k }$$ = radius of gyration
$$\large{ A }$$ = area cross-section of material
$$\large{ I }$$ = secont moment of area