Calculating Wavelength of a Harmonic Wave

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SUMMARY

The discussion focuses on calculating the wavelength of a harmonic wave generated by an oscillator completing 40.0 vibrations in 30.0 seconds. The frequency is determined to be 1.3 Hz by dividing the number of vibrations by the time. Additionally, the wave travels 425 cm in 10.0 seconds, which provides the wave speed. Using the wave equation v = f(λ), the wavelength can be calculated once the wave speed is established.

PREREQUISITES
  • Understanding of harmonic waves and their properties
  • Knowledge of wave equations, specifically v = f(λ)
  • Basic calculations involving frequency and wave speed
  • Familiarity with units of measurement (e.g., Hz, cm/s)
NEXT STEPS
  • Calculate the wave speed using the given distance and time
  • Learn how to apply the wave equation v = f(λ) to find wavelength
  • Explore the relationship between frequency, wavelength, and wave speed in different mediums
  • Study examples of harmonic waves in various physical contexts
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, and educators seeking to explain harmonic wave properties and calculations.

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Homework Statement


A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 40.0 vibrations in 30.0s. Also, a given maximum travels 425cm along the rope in 10.0s. What is the wavelength?


Homework Equations



v=f(lambda)

The Attempt at a Solution



My problem is understanding what 40.0 vibrations in 30.0s means. Is this a reference to the frequency? 40/30=1.3Hz?
 
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Yes, that's the frequency.
 

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