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Angular momentum

Angular momentum (sometimes called moment of momentum or rotational momentum) is the rotational analog of linear momentum. It is an important physical quantity because it is a conserved quantity – the total angular momentum of an isolated system remains constant. Angular momentum has both a direction and a magnitude, and both are conserved. Bicycles and…

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Definition in classical mechanics

Angular velocityCenter of massSolar SystemVelocityTensor
27 related topics

Analogy to linear momentum

Linear momentumDisplacementPositionShapeEnergy
23 related topics

Conservation of angular momentum

Central force motionOrbitsSatellitesBohr modelAtom
37 related topics

Angular momentum in quantum mechanics

OperatorQuantized eigenvaluesHeisenberg uncertainty principleProjectionRelativistic quantum mechanics
33 related topics

Key facts & relationships

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Common symbols
L
Conserved?
yes
Derivations from other quantities
L = Iω = r × p
Dimension
M L 2 T − 1 {\displaystyle {\mathsf {M}}{\mathsf {L}}^{2}{\mathsf {T}}^{-1}}
In SI base units
kg⋅m2⋅s−1
SI unit
J⋅s

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Examples

Definition in classical mechanics

Analogy to linear momentum

Conservation of angular momentum

Angular momentum in orbital mechanics

Solid bodies

Angular momentum in general relativity

Angular momentum in quantum mechanics

Angular momentum in electrodynamics

Angular momentum in optics

Angular momentum in nature and the cosmos

Angular momentum in engineering and technology

History

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Map overview Semantic statistics

Angular momentum

Nodes227
Edges226
Triples259
Avg. degree1.99
Density0.008811
Components1

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Angular momentum

Top relations

related to Further reading · 58
Angular momentum → An Illustrated Guide, Atomic Spectra, Bernard, Bibcode, Brian, Brooks/Cole, Cambridge University Press, Chapter III, Classical Electrodynamics, Claude, Cohen-Tannoudji, Condon, Date, Diu, Edmonds, Engineers, Feynman, Franck, Freeman, Graduate Texts
related to Analogy to linear momentum · 15
Angular momentum → Angular, Energy, For, Hence, Inertia, It, Like, Linear, Many, Referring, Simplifying, The, Their, This, Unlike
related to External links · 14
Angular momentum → Angular Momentum Archived, Collision Process, Common, Conservation, Football Have, Momentum, November, Rocket, Rolling Motion, Scientific American, Submarine, Wayback Machine, What Do, Why
related to Spin, orbital, and total angular momentum · 11
Angular momentum → All, For, Higgs, Hilbert, However, Indeed, Lie, See, SO, Spin, The
related to After Newton · 10
Angular momentum → Arcy, Daniel Bernoulli, Euler, In, It, Kepler's, Leonhard Euler, Mechanica, Newton, Patrick
related to Relation to Newton's second law of motion · 9
Angular momentum → As, In, Indeed, Lorentz, Maxwell's, Newton's, Noether's, Note, While
related to Total angular momentum as generator of rotations · 9
Angular momentum → As, Hilbert, Lie, More, Noether's, SO, The, There, To
related to Angular momentum in nature and the cosmos · 8
Angular momentum → By, However, If, Johannes Kepler, Planets, Since, Tropical, Winds
related to Angular momentum in general relativity · 7
Angular momentum → As, If, In, In Cartesian, Kerr, Noether, This
related to Angular momentum in orbital mechanics · 7
Angular momentum → In, Mass, Newton's, Note, The, Thus, While

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Important terminology

momentum angular displaystyle mass motion velocity rotation vector mathbf system inertia center conservation moment total linear rotational omega position particle

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Angular momentumCommon symbolsL1.00infobox
Angular momentumConserved?yes1.00infobox
Angular momentumDerivations from other quantitiesL = Iω = r × p1.00infobox
Angular momentumDimensionM L 2 T − 1 {\displaystyle {\mathsf {M}}{\mathsf {L}}^{2}{\mathsf {T}}^{-1}}1.00infobox
Angular momentumIn SI base unitskg⋅m2⋅s−11.00infobox
Angular momentumSI unitJ⋅s1.00infobox
Angular momentumis aextensive quantity0.90text
Angular momentumis avolume integral of angular momentum density0.90text
Angular momentumis aangular momentum about the object's center of mass0.90text
Angular momentumis asum of the spin and orbital angular momenta0.90text
Angular momentumis aproduct of moment of inertia and angular velocity0.90text
Angular momentumis a2-form Noether charge associated with rotational invariance0.90text

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