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Tension vs fundamental frequency

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You are a roadie (a technical assistant) to a legendary pink guitar player Doyle Wolfgang von Frankenstein. During a concert, he breaks the low C string on his guitar. You are asked to restring it. When plucked it is supposed to have a fundamental frequency of f1=131Hz. When placed on the guitar, the string will have a length of 70cm. The linear mass density of the string if 0.007 kg/m. In order to tune the guitar, the tension in the string is adjusted. What must the tension be?

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Solution Summary

Problem relating tension in a given length & linear mass density string and corresponding fundamental frequency.

Solution provided by:
Amrit Lal Ahuja, PhD (IP)
Education
  • BEng, Allahabad University, India
  • MSc , Pune University, India
  • PhD (IP), Pune University, India
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