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3-6

rotational displacement, angular displacement

URNurn:iso:std:iso:80000:-3:ed-2:en:item:3-6

https://metanorma.github.io/isq-smart/quantities/part-3/t3-6
urn:iso:std:iso:80000:-3:ed-2:en:item:3-6

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-3:ed-2:en:item:3-6

IEC

urn:iec:std:iec:80000-3:2019:::item:3-6

Designations

ENrotational displacement

FRangle de rotation

ENangular displacement

FRdéplacement angulaire

Symbol

ϑ

ϕ

Notation systems

Rendered

ϑ

Rendered

ϕ

AsciiMath

vartheta

AsciiMath

phi

LaTeX

\vartheta

LaTeX

\phi

Definition

quotient of the traversed circular path length (path length) of a point in space during a rotation and its distance (distance) from the axis or centre of rotation

quotient de la longueur curviligne (path length) circulaire parcourue par un point dans l'espace pendant une rotation, par sa distance (distance) par rapport à l'axe ou au centre de rotation

Units

r a d

radian

View related quantities →

1

one

View related quantities →

Notes

The rotational displacement is given by:

ϕ = \frac{s}{r}

where $s$ denotes the traversed path length (path length) along the periphery of a circle, centred at the vertex of the plane angle, and $r$ the radius (radius) of that circle.

The rotational displacement is signed. The sign denotes the direction of rotation and is chosen by convention.

Other symbols are also used.

L'angle de rotation est donné par:

ϕ = \frac{s}{r}

où $s$ désigne la longueur curviligne (path length) parcourue à la périphérie d'un cercle, centré sur le sommet de l'angle plan, et $r$ le rayon (radius) de ce cercle.

L'angle de rotation est affecté d'un signe. Le signe désigne le sens de rotation et il est choisi par convention.

D'autres symboles sont également utilisés.

Referenced by

angular velocity rotation

Concept HierarchyPendrill (2024)

1dimensionless quantitiesLevel 0 · Kind

Broader concepts

◇ dimensionless 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:t3-6

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	3-6
skosxl:prefLabel	"rotational displacement"@en
skosxl:altLabel	"angular displacement"@en"vartheta"@en"phi"@en
skos:definition	quotient of the traversed circular path length (<<t3-1.7>>) of a point in space during a rotation and its distance (<<t3…
skos:note	The rotational displacement is given by: [stem%unnumbered] ++++ phi=s/r ++++ where stem:[s] denotes the traversed path…
isq:hasUnit	rad (radian)1 (one)
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