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Moment of inertia

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The angular momentum of the figure skater is conserved—as she decreases her radius by retracting her arms and legs, her moment of inertia decreases, but her angular velocity increases to compensate.

Moment of inertia (), also called "angular mass" (kg·m2),[1] is a body's resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its radius measured perpendicularly to the axis of rotation.

Moments of inertia for a few objects[change | change source]

The moment of inertia I = ∫r2dm of a hoop, disk, cylinder, box, plate, rod, and spherical shell or solid can be found from this figure.

Related pages[change | change source]

References[change | change source]

  1. Atkinson, P. (2012). Feedback Control Theory for Engineers. Springer Science & Business Media. p. 50. ISBN 978-1-4684-7453-4. The student is advised to regard moment of inertia as being equivalent to 'angular mass'; equations in rotational mechanics are generally analogous to those in translational mechanics. Wherever an equation occurs in translational mechanics involving mass m, there is an equivalent equation in rotational mechanics involving moment of inertia J. The units of moment of inertia are kilogram metres2 (abbreviation kg m2).

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