Define Radius of GyrationRadius of gyration of a body is defined as the distance between the axis of rotation and a point at which the whole mass of the body is supposed to be concentrated, so as to possess the same moment of inertia as that of body. In this article, we will learn about the radius of gyration in physics and its applications. We will also calculate its value for a thin rod and solid sphere. First, let’s start with the definition. Radius of Gyration is an imaginary distance from the axis of rotation to a point where the total mass of the body is concentrated so that the moment of inertia about the axis remains the same. It basically relates the moment of inertia about the particular axis to the area of rotation. Radius of gyration vs centroid—understand their differences and how they impact beam design, motion analysis, and stability calculations. Learn what radius of gyration is, how to calculate it, and why it is useful in physics and engineering. See the formula, the unit, and two example problems with solutions.
