Exercise
https://texercises.com/exercise/fingered-violin-string/
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The following quantities appear in the problem: Länge \(\ell\) / Geschwindigkeit \(v\) / Frequenz \(f\) / Wellenlänge \(\lambda\) /
The following formulas must be used to solve the exercise: \(\ell = \frac{\lambda}{2} \cdot n \quad \) \(c = \lambda \cdot f \quad \)
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Exercise:
A violin string vibrates at pqHz when unfingered. At what frequency will it vibrate if its fingered onthird of the way down from the ?

Solution:
The relation between frequency and wavelength is f_n fracclambda_n. If the wavelength is shortened to frac the frequency will be hat f_n fraccfraclambda_n frac fracclambda_n fracf_n hence pqHz.
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Exercise:
A violin string vibrates at pqHz when unfingered. At what frequency will it vibrate if its fingered onthird of the way down from the ?

Solution:
The relation between frequency and wavelength is f_n fracclambda_n. If the wavelength is shortened to frac the frequency will be hat f_n fraccfraclambda_n frac fracclambda_n fracf_n hence pqHz.
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Acoustics
Tags
acoustics, frequency, harmonic, physics, standing, string, wave
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Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link