Angular frequency
Published: March 8, 2010, 12:00 am
Updated: October 8, 2011, 2:28 pm
This article has been reviewed by the following Topic Editor:
Peter SaundryAngular frequency is the repetition rate of a cyclic process measured in radians/sec.
 |
| Animation showing the relationship between angular frequency (radians per second) and frequency (cycles per second). Angular frequency is larger by a factor of 2π. Source: Wikipedia |
 |
| An angle of 1 radian results in an arc with a length equal to the radius of the circle. Source: Wikipedia. |
 |
| A complete revolution is 2π radians (shown here with a circle of radius one and circumference 2π). Source: John Reid, Ufo karadagli, Wikipedia |
A radian is the ratio between the length of an arc and its radius. A complete revolution is 2π radians (i.e. the arc of a full circle is its circumeference; 2π times the radius) .
Thus, an object rotating one full cycle per second has an angular frequency of 2π radians/sec. Or, more generally, if the frequency in cycles/sec is f (v in the animation right), then the angular frequency ω = 2πf.
Are you absolutely sure you want to delete this article? This process cannot be undone and is permanent.
Yes, Delete This Article
Are you absolutely sure you want to remove this article? This process cannot be undone and is permanent.
Yes, Remove This Article
Citation
Steve Baum (Lead Author);Wikipedia (Content Source);Peter Saundry (Topic Editor) "Angular frequency". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth March 8, 2010; Last revised Date October 8, 2011; Retrieved June 18, 2013 <http://www.eoearth.org/article/Angular_frequency>
The Author
Assistant Research Scientist, Physical Section
Department of Oceanography
Texas A&M University ... (Full Bio)
Angular frequency is the repetition rate of a cyclic process measured in radians/sec.
|
| Animation showing the relationship between angular frequency (radians per second) and frequency (cycles per second). Angular frequency is larger by a factor of 2π. Source: Wikipedia |
|
| An angle of 1 radian results in an arc with a length equal to the radius of the circle. Source: Wikipedia. |
|
| A complete revolution is 2π radians (shown here with a circle of radius one and circumference 2π). Source: John Reid, Ufo karadagli, Wikipedia |
A radian is the ratio between the length of an arc and its radius. A complete revolution is 2π radians (i.e. the arc of a full circle is its circumeference; 2π times the radius) .
Thus, an object rotating one full cycle per second has an angular frequency of 2π radians/sec. Or, more generally, if the frequency in cycles/sec is f (v in the animation right), then the angular frequency ω = 2πf.
Are you absolutely sure you want to delete this article? This process cannot be undone and is permanent.
Yes, Delete This Article
Are you absolutely sure you want to remove this article? This process cannot be undone and is permanent.
Yes, Remove This Article
Site Options
0 Comments
Add Comment