Definitions for angular momentum
an·gu·lar mo·men·tum

Princeton's WordNetRate this definition:0.0 / 0 votes

1. angular momentumnoun

   the product of the momentum of a rotating body and its distance from the axis of rotation

   "any rotating body has an angular momentum about its center of mass"; "angular momentum makes the world go round"

WiktionaryRate this definition:5.0 / 1 vote

1. angular momentumnoun

   The vector product that describes the rotary inertia of a system about an axis and is conserved in a closed system. For an isolated rigid body, it is a measure of the extent to which an object will continue to rotate in the absence of an applied torque.

WikipediaRate this definition:5.0 / 1 vote

1. Angular momentum

   In physics, angular momentum (rarely, moment of momentum or rotational momentum) is the rotational equivalent of linear momentum. It is an important quantity in physics because it is a conserved quantity—the total angular momentum of a closed system remains constant. In three dimensions, the angular momentum for a point particle is a pseudovector r × p, the cross product of the particle's position vector r (relative to some origin) and its momentum vector; the latter is p = mv in Newtonian mechanics. This definition can be applied to each point in continua like solids or fluids, or physical fields. Unlike momentum, angular momentum does depend on where the origin is chosen, since the particle's position is measured from it. Just like for angular velocity, there are two special types of angular momentum: the spin angular momentum and the orbital angular momentum. The spin angular momentum of an object is defined as the angular momentum about its centre of mass coordinate. The orbital angular momentum of an object about a chosen origin is defined as the angular momentum of the centre of mass about the origin. The total angular momentum of an object is the sum of the spin and orbital angular momenta. The orbital angular momentum vector of a particle is always parallel and directly proportional to the orbital angular velocity vector ω of the particle, where the constant of proportionality depends on both the mass of the particle and its distance from origin. However, the spin angular momentum of the object is proportional but not always parallel to the spin angular velocity Ω, making the constant of proportionality a second-rank tensor rather than a scalar. Angular momentum is additive; the total angular momentum of any composite system is the (pseudo) vector sum of the angular momenta of its constituent parts. For a continuous rigid body, the total angular momentum is the volume integral of angular momentum density (i.e. angular momentum per unit volume in the limit as volume shrinks to zero) over the entire body. Torque can be defined as the rate of change of angular momentum, analogous to force. The net external torque on any system is always equal to the total torque on the system; in other words, the sum of all internal torques of any system is always 0 (this is the rotational analogue of Newton's Third Law). Therefore, for a closed system (where there is no net external torque), the total torque on the system must be 0, which means that the total angular momentum of the system is constant. The conservation of angular momentum helps explain many observed phenomena, for example the increase in rotational speed of a spinning figure skater as the skater's arms are contracted, the high rotational rates of neutron stars, the Coriolis effect, and the precession of gyroscopes. In general, conservation does limit the possible motion of a system, but does not uniquely determine what the exact motion is. In quantum mechanics, angular momentum (like other quantities) is expressed as an operator, and its one-dimensional projections have quantized eigenvalues. Angular momentum is subject to the Heisenberg uncertainty principle, implying that at any time, only one projection (also called "component") can be measured with definite precision; the other two then remain uncertain. Because of this, it turns out that the notion of a quantum particle literally "spinning" about an axis does not exist. Nevertheless, elementary particles still possess a spin angular momentum, but this angular momentum does not correspond to spinning motion in the ordinary sense.

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1. angular momentum

   Angular momentum is a measure of the amount of rotation an object has, taking into account its mass, shape, and speed. It is a vector quantity, with both direction and magnitude, and is a conserved physical quantity within a closed system, meaning it remains constant unless acted on by an external torque. In physics, it is often associated with rotational motion and can be considered the rotational equivalent of linear momentum.

WikidataRate this definition:5.0 / 1 vote

1. Angular momentum

   In physics, angular momentum, moment of momentum, or rotational momentum is a vector quantity that represents the product of a body's rotational inertia and rotational velocity about a particular axis. The angular momentum of a system of particles is the sum of angular momenta of the individual particles. For a rigid body rotating around an axis of symmetry, the angular momentum can be expressed as the product of the body's moment of inertia, I, and its angular velocity ω: In this way, angular momentum is sometimes described as the rotational analog of linear momentum. For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum, mv, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is Angular momentum is conserved in a system where there is no net external torque, and its conservation helps explain many diverse phenomena. For example, the increase in rotational speed of a spinning figure skater as the skater's arms are contracted is a consequence of conservation of angular momentum. The very high rotational rates of neutron stars can also be explained in terms of angular momentum conservation. Moreover, angular momentum conservation has numerous applications in physics and engineering.

Matched Categories

1. • Momentum

How to pronounce angular momentum?

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How to say angular momentum in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of angular momentum in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of angular momentum in Pythagorean Numerology is: 8

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=angular momentum
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Angular_Momentum
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Angular_Momentum
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=angular momentum