What is the frequency of a vibrating steel cable in its third harmonic?

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SUMMARY

The discussion focuses on the frequency of a vibrating steel cable in its third harmonic, specifically at 150 Hz. The key questions addressed are the length of the cable and the wavelength associated with this frequency. Understanding the concepts of "third harmonic" and "standing waves" is essential for solving these problems accurately.

PREREQUISITES
  • Understanding of harmonic frequencies
  • Knowledge of standing wave principles
  • Familiarity with wave equations
  • Basic physics of vibrations
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  • Calculate the length of a vibrating cable using the formula for harmonic frequencies
  • Explore the relationship between frequency, wavelength, and wave speed
  • Study the properties of standing waves in strings
  • Investigate the effects of tension on the frequency of vibrating cables
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Students studying physics, particularly those focusing on wave mechanics, as well as educators and anyone interested in the principles of vibrations and harmonics in physical systems.

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Homework Statement


A steel cable is vibrating in its third harmonic. The Frequency is 150Hz
1. What is the length of the cable?

2. What is the wavelength?

Homework Equations


The Attempt at a Solution


I am really stuck
 
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Thats OK - we can help with that.
Where do you get stuck?

Do you know what is meant by the "third harmonic"?
Do you know about "standing waves"?
 

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