What is the wavelength of waves in shallower water?

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Homework Help Overview

The problem involves understanding the behavior of surface waves in water as they transition from deeper to shallower areas, specifically focusing on the relationship between wave speed, frequency, and wavelength.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between wave speed, frequency, and wavelength, with one participant attempting to calculate a change in speed. Another participant references the equation linking these variables.

Discussion Status

The discussion includes attempts to clarify the relevant equations and relationships. Some participants are exploring the implications of changing wave speed while maintaining frequency, but no consensus has been reached on the specific wavelength in shallower water.

Contextual Notes

Participants are working within the constraints of the problem statement, which specifies that frequency remains constant while speed changes. There is a lack of explicit information regarding the method to find the new wavelength.

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Homework Statement



The speed of surface waves in water decreases as the water becomes shallower.Suppose waves travel across the surface of a lake with a speed of 2.0m/s and a wavelength of 1.5m. When these waves move into shallower part of the lake, their speed decreases to 1.6m/s, though their frequency remains the same. Find the wavelength of the waves in the shallower water.

Homework Equations





3. The attempt
(2.0m/s-1.6m/s)/1.5=.26667
 
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newfie look at the equation linking speed frequency and wavelength.
 
v=Af right?
 
got it thanks
 

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