Equation for polar moment of inertia circle

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Moment of inertia of a uniform circular disc about a diameter is `I`. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be.īasically, for any rotating object, the moment of inertia can be calculated by taking the distance of each particle from the axis of rotation (r in the equation), squaring that value (that's the r 2 term), and multiplying it times the mass of that particle.The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis.

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It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rotation.

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