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Grade 6Mechanics

What is polar moment of inertia? What is it’s physical significent? and which field it is applied?

Profile image of md tanmoy ferdus
8 Years agoGrade 6
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Profile image of Arun
ApprovedApproved Tutor Answer8 Years ago
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 objects (or segments of cylindrical object) with an invariant cross-section and no significant warping or out-of-plane deformation.Though the polar moment of inertia is most often used to calculate the angular displacement of an object subjected to a moment (torque) applied parallel to the cross-section, it must be noted that the provided value of rigidity does not have any bearing on the torsional resistance provided to an object as a function of its constituent materials. The rigidity provided by an object`s material is a characteristic of its shear modulus, G. Combining these two features, one is able to calculate a shaft`s angular deflection, theta , due to the applied torque, T