7 / 54

4-7

moment of inertia

URNurn:iso:std:iso:80000:-4:ed-2:en:item:4-7

https://metanorma.github.io/isq-smart/quantities/part-4/t4-7
urn:iso:std:iso:80000:-4:ed-2:en:item:4-7

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-4:ed-2:en:item:4-7

IEC

urn:iec:std:iec:80000-4:2019:::item:4-7

Designations

ENmoment of inertia

FRmoment d'inertie

Symbol

J

Notation systems

Rendered

J

AsciiMath

bb(ii(J))

LaTeX

\mathbf{\mathit{J}}

Definition

tensor (ISO 80000-2: Mathematics) quantity representing rotational inertia of a rigid body relative to a fixed centre of rotation expressed by the tensor product:

$L = J ω$

where $L$ is angular momentum (ISO 80000-3: Space and time) of the body relative to the reference point and $ω$ is its angular velocity (ISO 80000-3: Space and time)

grandeur tensorielle représentant l'inertie d'un corps rigide en rotation par rapport à un centre de rotation fixe, exprimée par le produit tensoriel :

$L = J ω$

où $L$ est le moment cinétique (ISO 80000-3: Space and time) du corps par rapport au point de référence et $ω$ est sa vitesse angulaire (ISO 80000-3: Space and time)

Units

k g \cdot m^{2}

kilogram square metre

View related quantities →

Notes

The calculation of the value requires an integration.

Le calcul de la valeur nécessite une intégration.

Referenced by

second axial moment of area second polar moment of area

Concept HierarchyPendrill (2024)

L² ML² M quantitiesLevel 0 · Kind

Broader concepts

◇ L² M quantities

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t4-7

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	4-7
skosxl:prefLabel	"moment of inertia"@en
skosxl:altLabel	"bb(ii(J))"@en
skos:definition	tensor (<<iso80000-2>>) quantity representing rotational inertia of a rigid body relative to a fixed centre of rotation …
skos:note	The calculation of the value requires an integration.
isq:hasUnit	kg*m^2 (kilogram square metre)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-4

Related Entities

isq:QuantityShape isq:part-4 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry