Exercise
https://texercises.raemilab.ch/exercise/guitar-string/
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The following quantities appear in the problem: Länge \ell / Masse mm / Kraft FF / Geschwindigkeit vv / Frequenz ff / Wellenlänge λ\lambda / Massenbelegung μ\mu /
The following formulas must be used to solve the exercise: m=μm = \mu \cdot \ell \quad λ=2n\lambda = \frac{\ell}{2} \cdot n \quad c=λfc = \lambda \cdot f \quad c=Fμc = \sqrt{\frac{F}{\mu}} \quad
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Exercise:
The length of a guitar string is lO and its mass is mO. The distance from the bridge to the support post is dlO and the string is under a tension of FO. What is the frequency of the fundamental tone?

Solution:
The string has mu fracmL fracml mb mass per meter length of string. Under FO tension waves propagate on the string with c sqrtfracFmu sqrtfracFmb c velocity. The wavelength of the fundamental is lambda ell dl lam so the frequency is f fracclambda fracclam f.
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Exercise:
The length of a guitar string is lO and its mass is mO. The distance from the bridge to the support post is dlO and the string is under a tension of FO. What is the frequency of the fundamental tone?

Solution:
The string has mu fracmL fracml mb mass per meter length of string. Under FO tension waves propagate on the string with c sqrtfracFmu sqrtfracFmb c velocity. The wavelength of the fundamental is lambda ell dl lam so the frequency is f fracclambda fracclam f.
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Attributes & Decorations
Branches
Acoustics
Tags
acoustics, frequency, harmonic, physics, standing, wave
Content image
Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
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Link