Changing pitch in frequency ratio?

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Homework Help Overview

The discussion revolves around understanding the relationship between frequency and string length in the context of musical pitch changes. Participants are exploring how changes in frequency relate to the tension and length of strings, referencing relevant equations.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants express confusion regarding the relationship between string length and frequency, questioning whether a decrease in length should lead to an increase in frequency. There is also discussion about the interpretation of a frequency ratio and the role of tension in the problem.

Discussion Status

The conversation includes attempts to clarify misunderstandings about the problem setup and the relationships involved. Some participants have provided equations and insights, while others are still grappling with the implications of the information presented.

Contextual Notes

There are indications of misinterpretation regarding the frequency ratio and its implications. Participants are also considering the assumption that tension remains constant throughout the problem.

Mickey Tee
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Homework Statement


Stupid Problem.JPG


Homework Equations



v=fΛ

v=√(T/μ)

The Attempt at a Solution


I know I'm supposed to make an attempt, but I can make heads nor tails of this. Are they changed in a constant ratioo? Does the tension come into play?

The answer given is 0.16m
 
Last edited:
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Mickey Tee said:

Homework Statement


View attachment 771

What's weird too is that they are saying the frequency goes down, but decreasing string length should make the frequency go up...
 
berkeman said:
What's weird too is that they are saying the frequency goes down, but decreasing string length should make the frequency go up...
Well, it says the ratio 4/5, which maybe should be read 4:5. It doesn't say "to 4/5".
Mickey, tension doesn't come into it because the tension isn't changing. You quote two equations, one of which is relevant, and gives the right answer.
 
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Ohh, the only way I was picturing it was the strings being slackened or maybe a reversal of elastic elongation. :P Too much thought into a simple question.
 
Mickey Tee said:
Ohh, the only way I was picturing it was the strings being slackened or maybe a reversal of elastic elongation. :P Too much thought into a simple question.
Okay! Yes, it's annoying when you get locked into a misreading like that.
 
Thanks!

And by the way, a very happy new year to you haru! :D
May it bring you many new experiences.
 
For strings the frequency is given by
f=1/2L sqroot(t/m)

Now f is inversely proportional to length of string

Use this relation to find the answer
 

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