Angular velocity

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Overview

Kinematics Omega Normal Plane of rotation Right-hand rule

26 related topics

Spin angular velocity of a rigid body or reference frame

Euler's rotation theorem Instantaneous axis of rotation Tensor Gimbal Leonhard Euler

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Tensor

Angular velocity tensor Skew-symmetric matrix Angular velocity vector Infinitesimal rotation matrix Cross product

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Orbital angular velocity of a point particle

Polar coordinates Pseudoscalar Parity inversion Three-dimensional space Pseudovector

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Key facts & relationships

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Behaviour under coord transformation: pseudovector
Common symbols: ω
Conserved?: no
Derivations from other quantities: ω = dθ / dt
Dimension: T − 1 {\displaystyle {\mathsf {T}}^{-1}}
Extensive?: yes

Topics to explore

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Overview

Kinematics
Omega
Normal Normal (geometry)
Plane of rotation
Right-hand rule
Counterclockwise
Negation Negation (arithmetic)
Opposite direction Opposite direction (geometry)
Angular speed
Twice-continuously differentiable Smoothness
Center of curvature
Dimension Dimension (physics)
SI unit
Radians per second
Radian
Dimensionless quantity
Reciprocal seconds
Hertz
Geostationary Geosynchronous orbit
Sidereal day
Equator
Unit vector
Earth's rotation axis
Geocentric coordinate system
Tangential speed
Prograde Retrograde and prograde motion

Orbital angular velocity of a point particle

Spin angular velocity of a rigid body or reference frame

Tensor

Advanced semantic analysis

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Map overview Semantic statistics

Nodes50

Edges49

Triples46

Avg. degree1.96

Density0.04

Components1

How this topic connects Entity context

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Angular velocity

Top relations

related to External links · 9

Angular velocity → Brady Haran, By Arthur Lalanne Kimball, Nottingham, Pickering, Rotation, Sixty Symbols, Speed, Steve, University

related to Particle in two dimensions · 7

Angular velocity → All, If, In, Since, The, Vert, When

related to Particle in three dimensions · 5

Angular velocity → Here, However, In, Let, Taking

is a · 4

Angular velocity → number with plus or minus sign indicating orientation, pseudovector whose magnitude is the rate at which r sweeps out angle, rate at which the position vector relative to a chosen origin, rate of change of angle with respect to time

related to Components from Euler angles · 4

Angular velocity → Euler, Leonhard Euler, One, The

related to Spin angular velocity of a rigid body or reference frame · 4

Angular velocity → Euler's, Given, In, The

related to Components from the basis vectors of a body-fixed frame · 3

Angular velocity → Consider, Construct, The

Behaviour under coord transformation · 1

Angular velocity → pseudovector

Common symbols · 1

Angular velocity → ω

Conserved? · 1

Angular velocity → no

Important terminology Word statistics

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Important terminology

velocity angular displaystyle vector rotation omega speed direction body orbital unit particle rigid mathbf frame time plane given axis three

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Angular velocity	Behaviour under coord transformation	pseudovector	1.00	infobox
Angular velocity	Common symbols	ω	1.00	infobox
Angular velocity	Conserved?	no	1.00	infobox
Angular velocity	Derivations from other quantities	ω = dθ / dt	1.00	infobox
Angular velocity	Dimension	T − 1 {\displaystyle {\mathsf {T}}^{-1}}	1.00	infobox
Angular velocity	Extensive?	yes	1.00	infobox
Angular velocity	In SI base units	s−1	1.00	infobox
Angular velocity	Intensive?	yes (for rigid body only)	1.00	infobox
Angular velocity	SI unit	rad⋅s−1	1.00	infobox
Angular velocity	is a	rate of change of angle with respect to time	0.90	text
Angular velocity	is a	rate at which the position vector relative to a chosen origin	0.90	text
Angular velocity	is a	number with plus or minus sign indicating orientation	0.90	text
Angular velocity	is a	pseudovector whose magnitude is the rate at which r sweeps out angle	0.90	text

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