Calculating Wavelength of Surface Waves on a Lake

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Homework Help Overview

The discussion revolves around calculating the wavelength of surface waves on a lake, specifically interpreting the distance between a trough and an adjacent crest stated as 2.5 meters.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore whether the 2.5 meters represents the distance from trough to crest or if it could be interpreted differently, such as amplitude. There is uncertainty about whether to double or halve this measurement to find the wavelength.

Discussion Status

Participants are actively questioning the interpretation of the problem statement and discussing the implications of different interpretations on the calculation of wavelength. Some guidance has been offered, but there is no explicit consensus on how to proceed.

Contextual Notes

There is ambiguity in the problem statement regarding whether the 2.5 meters refers to horizontal or vertical separation, which affects the approach to finding the wavelength.

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Homework Statement


it's stated that 2.5meters separated a trough and an adjacent crest of surfae wave on a lke.


Homework Equations





The Attempt at a Solution



At first I thought if the trough to th crest is 2.5meters then i would double that to get the wavelength from crest to crest. But then when I drew another wave picture, the 2.5 can be the amplitude? so that would make me taking half of the 2.5meters instead?? I think my problrm is not understanding what that statmnt is trying to say. I'm unsure if I would multiply 2.5m by two or divide by half. thanks
 
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phys1618 said:
At first I thought if the trough to th crest is 2.5meters then i would double that to get the wavelength from crest to crest.
That's how I interpreted the problem statement: The horizontal separation between trough and adjacent crest is 2.5 m. (But I admit that it is ambiguous.)

If 2.5 m is the vertical separation between those two points, then you would not be able to find the wavelength (which is what you are asked to find, right?).
 
yes, when i first read it, i thought i should double the 2.5m., but in the statemnt is it referrring it has a standing wave or regular wave? am i thinking too much into the problem? is it as simple as it sounds? =x
but you know, you are right, if 2.5 is the vertical separation between the two, I don't think i can find the wavelength. so go with the first idea?
thank you for the help.
 
phys1618 said:
so go with the first idea?
Yes.
 
=) thank you for your help!
 

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