Angular Momentum

A vector quantity giving the rotational momentum. For an object orbiting a point, the angular momentum is the product of the linear momentum and the radius of the path. For a solid body, it is the product of the rotational inertia and the rotational velocity.

  [kgm2rads-1]

where
I = moment of inertia [kgm2]
ω = angular velocity [rads-1]

Continuous Medium

The momentum is given by the integral of the velocity over the mass of the medium or by the product of the total mass of the medium and the velocity of the center of gravity of the medium.

System of particles

The momentum is given by the sum of the momentums of the individual particles which make up the system or by the product of the total mass of the system and the velocity of the center of gravity of the system.

See also: Angular Velocity, Conservation of Angular Momentum, Linear Momentum, Rotational Kinetic Energy.

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Subjects: Classical Mechanics