Looking for formula to equate force to oscillation frequency/length

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SUMMARY

The discussion focuses on calculating the tension strength of a guitar string using its oscillation frequency and length. The user seeks a formula to relate these variables, specifically the fundamental harmonic frequency. A reference to the Wikipedia page on vibrating strings is provided as a starting point for understanding the physics involved.

PREREQUISITES
  • Understanding of fundamental harmonic frequency in string instruments
  • Basic knowledge of tension and its relation to oscillation
  • Familiarity with dimensional analysis in physics
  • Concept of vibrating strings and wave mechanics
NEXT STEPS
  • Research the wave equation for vibrating strings
  • Learn how to derive the tension formula from frequency and length
  • Explore the physics of harmonic frequencies in string instruments
  • Study the impact of string material properties on tension and frequency
USEFUL FOR

Musicians, physics students, and anyone interested in the mechanics of string instruments and sound production will benefit from this discussion.

dazzlepecs
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Hi, i am interested in figuring out the tension strength on a guitar string, by using its oscillation frequency (or fundamental harmonic) and its length.. I looked online but can't find much... I tried some dimensional analysis but couldn't come up with much
 
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dazzlepecs said:
Hi, i am interested in figuring out the tension strength on a guitar string, by using its oscillation frequency (or fundamental harmonic) and its length.. I looked online but can't find much... I tried some dimensional analysis but couldn't come up with much

Welcome to the PF. This web page should get you started:

http://en.wikipedia.org/wiki/Vibrating_string

.
 

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