I = mr². Moment of inertia definition, the sum of the products of the mass and the square of the perpendicular distance to the axis of rotation of each particle in a body rotating about an axis. Polar Moment of Inertia is a measure of resistibility of a shaft against the twisting. A generic expression of the inertia equation is. where. See more. Polar Moment of Inertia. The moment of inertia of a hollow circular section of outer diameter D and inner diameter d, as shown in Fig. The moment of inertia plays a role analogous to that of the inertial mass in the case of rectilinear and uniform motion.

But be careful you might fall in love with physics. The moment of inertia of a triangular section of height h, about an axis passing through its center of gravity G and parallel to … The moment of inertia of an object is a numerical value that can be calculated for any rigid body that is undergoing a physical rotation around a fixed axis.

The moment of inertia can be thought as the rotational analogue of mass in the linear motion. k = inertial constant - depending on the shape of the body Radius of Gyration (in Mechanics) The Radius of Gyration is the distance from the rotation axis where a concentrated point mass equals the Moment of Inertia of the actual body. It is also known as the torsional Stiffness Read the Full article here. The moment of inertia only depends on the geometry of the body and the position of the axis of rotation, but it does not depend on the forces involved in the movement. The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body, is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for the desired acceleration. It is the scalar value of the longitudinal angular momentum of a rigid solid. It is based not only on the physical shape of the object and its distribution of mass but also the specific configuration of how the object is rotating. I = k m r 2 (2c). Moment of Inertia - General Formula. 1.15, is given by 7. The moment of inertia (also called the second moment) is a physical quantity which measures the rotational inertia of an object.. I will insist to both science as well as non-science background students to go through the answer. The moment of inertia of a body is always defined about a rotation axis. First let me discuss intertia- Suppose you are riding a bike with high speed.