1/21/2024 0 Comments Mass moment of inertia![]() ![]() In this article, we are going to learn how to derive the moment of inertia formula of an annular disk Derivationīefore going into the derivation, let us understand the annotations used and the annular disk using a diagram.Ĭonsider an annular disk having a thickness as ‘t’, inner radius as ‘R1’ and outer radius as ‘R2’. R1 denoted the annular disk’s inner radiusĪnd R2 denotes the annular disk’s outer radius. To get an idea the moment of inertia of an annular disk is given by the equation, We are initially going to find out the moment of inertia of that ring or the elemental volume and then integrate it having the limitations of the radius of the disk to find out the moment of inertia of the complete annular disk. That can also be considered as the small elemental volume inside the annular disk. To find out the moment of inertia of an annular disk, we will consider a small elemental ring inside the annular disk having a radius of r and width of dr along with the thickness t. ![]() Therefore, it has two radii, an inner radius and an outer radius. However, unlike a normal disk, it has a hollow space inside it. An annular disk is similar to a normal disk. Before going into that we must understand what an annular disk is. Speaking about the MOI or the moment of inertia of an annular disk. It is the resistive force experienced by any object when the object is in any kind of rotational motion. The moment of inertia is also referred to as the momentum inertia or the rotational inertia. ![]()
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