Amplitude of a wave when changing depth

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Homework Help Overview

The discussion revolves around the behavior of water waves as they transition from deep to shallow water, specifically focusing on the amplitude changes during this process. Participants are exploring the relationship between wave properties such as amplitude, wavelength, and velocity in different water depths.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Some participants present conflicting views on whether amplitude increases or remains constant when waves move to shallower depths. Questions are raised about the mathematical relationships that could support these observations, particularly in relation to energy conservation.

Discussion Status

The discussion is ongoing, with participants sharing their interpretations and seeking clarification on the principles involved. There is an exploration of different viewpoints regarding the amplitude changes, and some guidance is offered regarding energy conservation concepts.

Contextual Notes

Participants note discrepancies in textbook explanations and diagrams, indicating a lack of consensus on the correct interpretation of wave behavior in varying depths. There is also mention of the need for mathematical support for claims about amplitude changes.

nilic1
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In most books the amplitude does not change when water waves pass from deep to shallow water. In some books the diagrams show an increased amplitude. Which one is correct?
 
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As a wave goes from deep to shallow, its wavelength decreases as well as its velocity. As it approaches a shallow part, the amplitude increases.

(an easy example is to consider how a tsunami works)
 
rock.freak667 said:
As a wave goes from deep to shallow, its wavelength decreases as well as its velocity. As it approaches a shallow part, the amplitude increases.

(an easy example is to consider how a tsunami works)

Thanks for your answer. Is there any mathematical relationship which can support the fact that the amplitude actually increases?
 
I can't remember what power of a wave depends on how however, if you consider a conservation of energy standpoint, I think if the second velocity decreases (decrease in KE) the height would increase (increase in PE) to keep the energy constant.

KE + PE = constant.
 

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