Moment of inertia

Moment of inertia ( $I$ ), 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.

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.

Moments of inertia for a few objects

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

References

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).

Other websites

Angular momentum and rigid-body rotation in two and three dimensions Archived 2010-03-29 at the Wayback Machine
A table of moments of inertia Archived 2008-07-01 at the Wayback Machine
Parallels between rotation and translation HyperPhysics

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[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).