Moment of inertia

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

Moment of inertia ([math]\displaystyle{ I }[/math]), also called "angular mass" (kg·m²),^[1] is the inertia of a rotating body with respect to its rotation.

It is a rotating body's resistance to angular acceleration or deceleration, equal to the product of the mass and the square of its perpendicular distance from the axis of rotation.

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↑ Atkinson, P. Feedback Control Theory for Engineers. Springer, 2012, p. 50. "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)."

[1] Atkinson, P. Feedback Control Theory for Engineers. Springer, 2012, p. 50. "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)."

[1]

Moment of inertia

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