Water Waves - Universal Wave Equation

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SUMMARY

The discussion centers on the Universal Wave Equation as it pertains to water waves. The key equation used is v = fλ, where frequency (f) is calculated as 0.75 Hz based on 45 cycles over 60 seconds. Participants clarify that the wavelength (λ) is not directly given as 28 meters; rather, 28 is a factor related to the wavelength. The wavelength is defined as the distance between consecutive crests or troughs of the wave.

PREREQUISITES
  • Understanding of wave properties including frequency and wavelength
  • Familiarity with the Universal Wave Equation (v = fλ)
  • Basic knowledge of cycles and time measurement in physics
  • Ability to interpret mathematical relationships in physical contexts
NEXT STEPS
  • Research the relationship between wave speed, frequency, and wavelength in different mediums
  • Explore the concept of wave interference and its effects on water waves
  • Learn about the mathematical derivation of the Universal Wave Equation
  • Investigate real-world applications of wave equations in oceanography
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in the mathematical modeling of water waves.

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Water Waves -- Universal Wave Equation

Homework Statement



Attached.

Homework Equations



v=fλ

The Attempt at a Solution



f= cycles/time
f= 45/60
f= 0.75 Hz

The trouble I am having is wondering if λ is 28 m or do i have to do something else to find λ?
 

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No, the wavelength itself is not 28, but 28 is a factor of wavelength. One wavelength is the distance from crest to crest, or trough to trough, or however you want to see it. It is however long the wave is until it repeats itself.
 


1+1=2
 

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