![]() Where the planar second moment of area describes an object's resistance to deflection (bending) when subjected to a force applied to a plane parallel to the central axis, the polar second moment of area describes an object's resistance to deflection when subjected to a moment applied in a plane perpendicular to the object's central axis (i.e. There are several ways to calculate the moment of inertia of a rotating object. What is the SI Unit of Moment of Inertia The SI unit of moment of inertia is: kg.m 2. Substituting into the equation for kinetic energy, we find K 1 2mv2 t 1 2m(r)2 1 2(mr2)2. Generally, for uniform objects, the moment of inertia is calculated by taking the square of its distance from the axis of rotation (r 2) and the product of its mass. Following are the types of moment of inertia units along with their formula: Area moment of inertia: mm 4 or in 4 Mass moment of inertia: kg.m 2 or ft.lb.s 2 Dimensional Formula: M 1 L 2 T 0. ![]() It is a constituent of the second moment of area, linked through the perpendicular axis theorem. We can relate the angular velocity to the magnitude of the translational velocity using the relation vt r, where r is the distance of the particle from the axis of rotation and vt is its tangential speed. The polar moment (of inertia), also known as second (polar) moment of area, is a quantity used to describe resistance to torsional deformation (deflection), in cylindrical (or non-cylindrical) objects (or segments of an object) with an invariant cross-section and no significant warping or out-of-plane deformation. Dimensional Formula: M1L2T0 What is the SI Unit of Moment of Inertia The SI unit of moment of inertia is: kg.
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