# What is the formula for Radius of gyration?

Posted in ROTATIONAL MOTION | Email This Post |Radius of gyration is the distance between the given axis and the centre of mass of the body. The centre of mass of a body is point where the entire mass of the body is supposed to be concentrated. It is denoted by ‘K ’.

If M is mass of the body, the moment of inertia is given as,

Moment of inertia (I) = mass of the body (M) × (radius of gyration)^{2}

So, the formula for radius of gyration (K) is given as,

where K = radius of gyration, I = Moment of inertia and M = mass of the body.