Investigating Wave Speed in Water: Uncovering the Theory

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SUMMARY

This discussion focuses on the relationship between wave speed and water depth, confirming that wave speed increases in deeper water due to reduced interaction with barriers and viscosity. Amber raises questions about Stoke's Law and laminar flow, indicating a need for clarity on how these concepts affect wave dynamics. The conversation highlights that shallower water presents more barriers, which slows down wave speed. Understanding these principles is crucial for comprehending wave behavior in varying depths.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with Stoke's Law
  • Knowledge of laminar flow principles
  • Basic concepts of kinetic and potential energy
NEXT STEPS
  • Research the effects of water depth on wave speed using fluid dynamics principles
  • Study Stoke's Law and its application in wave theory
  • Explore the relationship between laminar flow and wave propagation
  • Investigate the impact of barriers on wave behavior in shallow water
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and researchers interested in fluid dynamics and wave behavior in varying water depths.

Amber
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I'm doing an investigation on how the speed of a wave varies as the depth of water changes, using a tray of water. I know that in deeper water the speed will be quicker than that in shallow water. However I don't quite understand why this is. Apparently it has something to do with Stoke's Law? Is it related to the viscosity and the flow of water in different conditions - the more volume there is, the faster it will travel? Please help me with the theory behind it to help me understand better.

Thank you,
- Amber
 
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Try to think of the problem along this line, a ball is traveling along a frictionless surface at a constant speed, but when it start traveling uphill, its speed decreases because the kinetic energy of the ball is being converted into gravitational potential energy.

So, what would happen to a water wave when it encounters a barrier?
 
Last edited:
Thank you.

When the water waves encounter a barrier, it will slow down - so the less water there is, the more "barriers" are in contact. Therefore in shallower water the speed is slower? Is that correct?

It would help if the teacher taught us properly instead of asking us to read the textbook, and I find that doesn't help much.

Now I need to know how laminar flow relates to all this :confused:
 

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