24 / 42

3-12

angular velocity

URNurn:iso:std:iso:80000:-3:ed-2:en:item:3-12

https://metanorma.github.io/isq-smart/quantities/part-3/t3-12
urn:iso:std:iso:80000:-3:ed-2:en:item:3-12

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-3:ed-2:en:item:3-12

IEC

urn:iec:std:iec:80000-3:2019:::item:3-12

Designations

ENangular velocity

FRvitesse angulaire

Symbol

ω

Notation systems

Rendered

ω

AsciiMath

bb(omega)

LaTeX

\mathbf{\omega}

Definition

vector (ISO 80000-2: Mathematics) quantity giving the rate of change of the rotational displacement (rotational displacement) as its magnitude (ISO 80000-2: Mathematics) and with a direction equal to the direction of the axis of rotation

grandeur vectorielle ayant pour norme (ISO 80000-2: Mathematics) le quotient de la variation d'un angle de rotation (rotational displacement) par la durée de cette variation et ayant pour direction la direction de l'axe de rotation

Units

r a d \cdot s^{- 1}

radian per second

View related quantities →

s^{- 1}

per second

View related quantities →

Notes

The angular velocity vector is given by:

ω = \frac{d φ}{d t} u

where $φ$ denotes the angular displacement (rotational displacement), $t$ the duration (duration), and $u$ the unit vector (ISO 80000-2: Mathematics) along the axis of rotation in the direction for which the rotation corresponds to a right-hand spiral.

Le vecteur (ISO 80000-2: Mathematics) vitesse angulaire est donné par:

ω = \frac{d φ}{d t} u

où $φ$ désigne l'angle de rotation (rotational displacement), $t$ la durée (duration) et $u$ le vecteur unité (ISO 80000-2: Mathematics) le long de l'axe de rotation dans la direction pour laquelle la rotation correspond à une spirale à droite.

Referenced by

angular acceleration

Concept HierarchyPendrill (2024)

T⁻¹frequency-type quantitiesLevel 0 · Kind

Broader concepts

◇ frequency-type 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:t3-12

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	3-12
skosxl:prefLabel	"angular velocity"@en
skosxl:altLabel	"bb(omega)"@en
skos:definition	vector (<<iso80000-2>>) quantity giving the rate of change of the rotational displacement (<<t3-6>>) as its magnitude (<…
skos:note	The angular velocity vector is given by: [stem%unnumbered] ++++ bb(omega)=("d"varphi)/("d"t)bb(ii(u)) ++++ where stem:…
isq:hasUnit	rad*s^(-1) (radian per second)s^(-1) (per second)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-3

Related Entities

isq:QuantityShape isq:part-3 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry