Can Compressions and Nodes Be Compared in Wave Calculations?

[oooo]

Just a quick question-- can compressions and rarefractions be compared to nodes and antinodes in calculations? For example, I have calculated the wavelength of a given longitudinal traveling wave and I am supposed to find the distance from one compression to an adjacent compression. I calculated this the same as you would from node to node where the distance between each is half a wave. However, when I tried this theory, (assuming that the distance between a compression and another compression is half a wave) it ended up being wrong. Please help soon-- I am reviewing for a Physics final tomorrow and came across this problem. I hope you can help clear it up. Thanks

 

[mukundpa]

No
Nodes and antinodes are formed in a standing wave, not in a traveling wave.

The distance between two consecutive nodes (or antinodes) in a standing wave is half the wavelength.

The distance between to consecutive compression (or creasts in case of transverce waves) in a traveling wave is equal to wavelength.

 

[quicknote]

Yes, compressions and rarefactions can be compared to nodes and antinodes in calculations. In both cases, they represent points of maximum and minimum amplitude in a wave. However, it is important to note that compressions and rarefractions occur in longitudinal waves (where particles vibrate back and forth in the same direction as the wave), while nodes and antinodes occur in transverse waves (where particles vibrate perpendicular to the direction of the wave). This difference in direction of particle motion can affect the calculations for distance between compressions compared to distance between nodes. It is also possible that there may be other factors at play in your calculations, so it is important to carefully review your work and make sure all variables are accounted for. If you are still unsure, it may be helpful to consult with your instructor or a classmate for clarification. Good luck on your final exam!