ANGULAR FREQUENCY

  

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ANGULAR FREQUENCY

Specialty Definition: ANGULAR FREQUENCY

DomainDefinition

Aerospace

The frequency of a periodic quantity expressed in radians per second. It is equal to the frequency in cycles per second multiplied by . Also called circular frequency . (references)

Electrical Engineering

For any oscillation, the number of vibrations per unit time, multiplied by 2pi. Source: European Union. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Angular frequency

(From Wikipedia, the free Encyclopedia)

Imagine an object, moving in a circle.

In a circle there are 2&pi radians. A radian is a measurement of angle, and is more convenient than the degree when doing calculations.

If the object completes one circle in T seconds, then the angular frequency, ω, is given by

ω = 2π/T

ω has units s-1.

Using angular frequency in the equations is often a convenient shorthand, as it hides π symbols.

As circular motion viewed 'edge on' is analogous to simple harmonic motion, ω will often appear in the equations of SHM.

For example:

a = -ω2 x

Using 'ordinary' frequency, this equation would be a lot uglier:

a= - 4π2f2 x

ω is related to 'ordinary' frequency by the equation:

ω=2πf

This is easily seen, as

f=1/T

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Angular frequency."

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Crosswords: ANGULAR FREQUENCY

Specialty definitions using "ANGULAR FREQUENCY": circular frequency. (references)

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Frequency of Internet Keywords: ANGULAR FREQUENCY

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.
 
ExpressionFrequency
per Day

angular frequency

2
Source: compiled by the editor from various references; see credits.

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Modern Translation: ANGULAR FREQUENCY

Language Translations for "ANGULAR FREQUENCY"; alternative meanings/domain in parentheses.

Danish

  

vinkelhastighed (angular rate, angular speed, angular velocity, radian frequency). (various references)

   

Dutch

  

hoeksnelheid (angular rate, angular speed, angular velocity, radian frequency), hoekfrequentie (angular velocity, radian frequency). (various references)

   

French

  

vitesse angulaire (angular rate, angular speed, angular velocity), pulsation (angular velocity). (various references)

   

German

  

Kreisfrequenz (angular velocity, radian frequency). (various references)

   

Greek 

  

κυκλική συχνότητα (angular velocity, radian frequency), γωνιακή συχνότητα (angular velocity, radian frequency), γωνιακή ταχύτητα (angular speed, angular velocity, radian frequency). (various references)

   

Italian

  

pulsazione (beating, heartbeat, pitapat, pulsation, throb, throbbing). (various references)

   

Japanese Kanji 

  

'周波数 . (various references)

   

Japanese Katakana 

  

かくしゅうはすう. (various references)

   

Manx

  

menkid uillinagh. (various references)

   

Pig Latin

  

angularay equencyfray

   

Portuguese

  

velocidade angular (angular rate, angular speed, angular velocity, radian frequency), pulsação (beat, palpitation, pant, vibration). (various references)

   

Spanish

  

velocidad angular (angular rate, angular speed, angular velocity, radian frequency), pulsación (beat, beating, pulsation, pulse, throb, throbbing, touch). (various references)

Source: compiled by the editor from various translation references.

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INDEX

1. Crosswords
2. Expressions: Internet
3. Translations: Modern
4. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.