# In-Phase and Out-Phase

1. May 8, 2004

### Antonio Lao

Given a traveling wave $W=Asin(\omega t + \phi)$, where A is the amplitude, $\omega$ is the angular frequnecy, t is the time variable, and $\phi$ is the phase angle.

For two waves of the same properties and traveling in the same direction, the waves vanish if the phase angle is 180 degrees. The amplitudes are doubled if the phase angle is zero or 360 degrees.

For two waves of the same properties and traveling in opposite directions, the waves formed standing waves if the phase angle is 180 degrees. What happens when the phase angle is zero or 360 degrees?

2. May 8, 2004

### Russell E. Rierson

http://www.gmi.edu/~drussell/Demos/superposition/superposition.html

Last edited by a moderator: Apr 20, 2017
3. May 8, 2004

### Antonio Lao

Russell,

Thanks. But I still can't see where the phase angle fit into the overall picture of the wave whether travelling or standing.

4. May 8, 2004

### Russell E. Rierson

Wave Tutorials:

http://www.physicsclassroom.com/Class/waves/wavestoc.html [Broken]

http://www.physicsclassroom.com/Class/waves/U10L4a.html

http://www.learningincontext.com/Chapt08.htm [Broken]

Standing Waves:

http://www.oreilly.cx/phi/combining_waves/standing_waves.html [Broken]

http://www.glafreniere.com/sa_spherical.htm

http://www.upscale.utoronto.ca/IYearLab/Intros/StandingWaves/StandingWaves.html

http://id.mind.net/~zona/mstm/physics/waves/standingWaves/standingWaves1/StandingWaves1.html [Broken]

http://www.upscale.utoronto.ca/IYearLab/Intros/StandingWaves/StandingWaves.html

Resonance:

http://hyperphysics.phy-astr.gsu.edu/hbase/sound/reson.html#resdef

http://www.pha.jhu.edu/~broholm/l29/node4.html [Broken]

Damped Harmonic Oscillator:

http://hyperphysics.phy-astr.gsu.edu/hbase/oscda.html#c1

Last edited by a moderator: May 1, 2017
5. May 8, 2004

### Russell E. Rierson

Another Standing Wave Tutorial:

http://hypertextbook.com/physics/waves/standing/index.shtml [Broken]

Last edited by a moderator: May 1, 2017
6. May 9, 2004

### Antonio Lao

Russell,

Thanks. These are more than what I can chew in one setting. I have to take sometime going through the details. Again, thank you for your overwhelming response.