Where should the violinist place their finger to play concert A?

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Homework Help Overview

The problem involves determining the finger placement on a violin string to play concert A, given that the string is tuned to concert G. The string length is specified, along with the frequencies of both notes.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • One participant attempts to calculate the velocity of the string using the relationship between frequency and wavelength, while another questions the validity of the wavelength used in the calculations. There is also a discussion about the implications of the calculated answer in relation to the physical constraints of the violin string length.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the calculations and questioning the assumptions made regarding the wavelength and the resulting finger placement. There is no explicit consensus yet.

Contextual Notes

Participants are considering the physical limitations of the violin string length in relation to the calculated values, which may affect the feasibility of the proposed solutions.

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Homework Statement



A violin string has a length of 0.35m and is tuned to concert G (a frequency of 392Hz). Where must the violionist place her finger to play concert A, with a frequency of 440Hz?

Homework Equations





The Attempt at a Solution



I used v= frequency * wavelength and found the velocity, then found the wavelength for concert A and devided by 2. Is this the right method?
 
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Depends on what you used for wavelength. If you used 2*0.35, then yes, it's correct.
 


So would the answer be 0.624m?
 


a.a said:
So would the answer be 0.624m?

I wouldn't think so. The violin sting itself is only 0.35m, your answer is nearly double it's length!
 

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