![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||
|
This page has archives. Sections older than 365 days may be automatically archived by Lowercase sigmabot III when more than 5 sections are present. |
The equations for linear acceleration are using x instead of r as defined above them. FIX IT~! 155.33.109.3 ( talk) 19:45, 2 October 2009 (UTC)
Currently, we have a redirect from "angular speed" to this article. I believe that the article should be under the heading "angular speed" because that is the more general term, with "angular frequency" being one particular way to measure angular speed. This is a fairly minor point. What does anyone else think? Dbfirs 22:36, 13 March 2011 (UTC)
Angular frequency, as defined in the beginning of the main article, is primarily related to rotating objects. Below I have attempted to elucidate the geometrical connection between a rotating object and oscillatory motion/behavior. My first attempt at modifying the main article was done in haste and was of very poor quality. That modification was undone by another user (and rightfully so). I have therefore decided to stage my modification here for criticism. My intention is to add this section before the "Examples" section in the main article. In doing so, the "Examples" section will most likely be adjusted to better reflect this connecting idea. Jatosado ( talk) 02:48, 25 March 2013 (UTC)
Connections to Oscillatory motion
Circular motion is geometrically related to oscillatory motion. A circle is described from the Pythagorean theorem
in polar coordinates x and y have a sinusoidal form,
where is the angle of revolution. In the case where the angle of revolution increases with time, as for a rotating object, the angle can be expressed in terms of an angular frequency, i.e.,
which then allows x and y to be written as,
Here the x and y coordinate each execute sinusoidal motion in time. It is in this sense that an oscillating object, which may strictly move linearly, can be described as having an angular frequency in time if, in that case, its motion too is sinusoidal. — Preceding unsigned comment added by Jatosado ( talk • contribs) 02:48, 25 March 2013 (UTC)
Can someone work these 3 cases out a bit? — Preceding unsigned comment added by Koitus~nlwiki ( talk • contribs) 13:43, 3 October 2018 (UTC)
I think there's quite a lot of confusion with regards to terminology in the opening to this article. The most common other name for angular frequency is simply frequency and several of the alternative names such as orbital frequency refer to specific examples of angular frequency. I think this could do with some clarification. Jobla6 16:53, 26 September 2019 (UTC) — Preceding unsigned comment added by Jobla6 ( talk • contribs)
![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||
|
This page has archives. Sections older than 365 days may be automatically archived by Lowercase sigmabot III when more than 5 sections are present. |
The equations for linear acceleration are using x instead of r as defined above them. FIX IT~! 155.33.109.3 ( talk) 19:45, 2 October 2009 (UTC)
Currently, we have a redirect from "angular speed" to this article. I believe that the article should be under the heading "angular speed" because that is the more general term, with "angular frequency" being one particular way to measure angular speed. This is a fairly minor point. What does anyone else think? Dbfirs 22:36, 13 March 2011 (UTC)
Angular frequency, as defined in the beginning of the main article, is primarily related to rotating objects. Below I have attempted to elucidate the geometrical connection between a rotating object and oscillatory motion/behavior. My first attempt at modifying the main article was done in haste and was of very poor quality. That modification was undone by another user (and rightfully so). I have therefore decided to stage my modification here for criticism. My intention is to add this section before the "Examples" section in the main article. In doing so, the "Examples" section will most likely be adjusted to better reflect this connecting idea. Jatosado ( talk) 02:48, 25 March 2013 (UTC)
Connections to Oscillatory motion
Circular motion is geometrically related to oscillatory motion. A circle is described from the Pythagorean theorem
in polar coordinates x and y have a sinusoidal form,
where is the angle of revolution. In the case where the angle of revolution increases with time, as for a rotating object, the angle can be expressed in terms of an angular frequency, i.e.,
which then allows x and y to be written as,
Here the x and y coordinate each execute sinusoidal motion in time. It is in this sense that an oscillating object, which may strictly move linearly, can be described as having an angular frequency in time if, in that case, its motion too is sinusoidal. — Preceding unsigned comment added by Jatosado ( talk • contribs) 02:48, 25 March 2013 (UTC)
Can someone work these 3 cases out a bit? — Preceding unsigned comment added by Koitus~nlwiki ( talk • contribs) 13:43, 3 October 2018 (UTC)
I think there's quite a lot of confusion with regards to terminology in the opening to this article. The most common other name for angular frequency is simply frequency and several of the alternative names such as orbital frequency refer to specific examples of angular frequency. I think this could do with some clarification. Jobla6 16:53, 26 September 2019 (UTC) — Preceding unsigned comment added by Jobla6 ( talk • contribs)