Dealing with wavelengths, frequencies and speed

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Homework Help Overview

The discussion revolves around understanding the relationships between wavelength, frequency, and wave speed, particularly in the context of longitudinal waves and water waves. The original poster presents specific problems involving these concepts and expresses confusion regarding the definition of wavelength in different scenarios.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to clarify their understanding of wavelength in relation to the distance between compressions and the separation of waves. They question whether the wavelength should be considered as the distance between successive compressions or as double that distance.

Discussion Status

Some participants offer insights into the definition of wavelength and its application to different types of waves. There is an ongoing exploration of the original poster's assumptions about wavelength, with no explicit consensus reached on the correct interpretation.

Contextual Notes

The original poster is grappling with the definitions and implications of wavelength in the context of their homework problems, indicating a potential misunderstanding that may affect their problem-solving approach.

msimard8
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Ok, I am working with problems dealing with Speed=(lambda) (frequency).
I have a question in determining whether I am solving these correctly. I sometimes get confused as what the wavelength is.

1. A longitudinal wave with a frequency of 25.0Hz travels along a coil spring. If the distance between successive compressions is 0.500m, what is the speed of the wave.

This is how i solved it. There is no need to show the steps because my question comes just when i frame the problem.

frequency=25.0hz
speed is unknown
wavelength is 0.500m

My question is would the wavelength be twice as much as the distance between successive compressions, not 0.500m.



2. Twenty five water waves pass your anchored boat in 1.0 min. If the separation between waves is 2.0m, what is the speed of the waves?

This is how I would set up the problem

N=25
t=1 min x 60 seconds = 60 seconds
v = unknown
wavelength is 2.0m

Same question as the first, would the wavelength be 2.0 m or 4.0 m. Because wouldn't the separation between the waves just be a loop.

Thanks
 
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wavelength is the distance between 2 successive points on a wave.
i think what is confusing you is the different types of waves. is that right?

you are right about the first one. the distance between compressions is every half wavelength. do you know why?

for the second one, a wavelength is the distance bewteen crests (actually any two successive points on a wave). do you know why?
 
Thanks a lot :wink:
 
if you don't understand the difference you're going to have this problem again. and again. and probably some more after that.
 
You're saying that the wavelength of the compression wave is 1.0m? Not 0.5m?
 

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