Determining fundemental frequency from experiment

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Homework Help Overview

The discussion revolves around determining the fundamental frequency of a string based on measured harmonic frequencies from an experiment. The specific frequencies noted are 46.9Hz, 53.7Hz, 61.9Hz, and 70.9Hz, with questions regarding the relationship between these frequencies and the fundamental frequency.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the average gaps between harmonics and question whether the string is fixed at both ends, which affects the fundamental frequency. There is also discussion about identifying which harmonic corresponds to specific frequencies.

Discussion Status

The discussion is ongoing, with participants questioning the implications of the string's boundary conditions on the fundamental frequency and harmonics. Some guidance is offered regarding the average frequency gap, but there is no consensus on the fundamental frequency or the harmonic classification.

Contextual Notes

Participants express uncertainty about the string's setup, which may influence the fundamental frequency and harmonic relationships. There is also mention of a tendency to overcomplicate the problem, indicating a need for clarity in understanding the concepts involved.

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Homework Statement



An experiment was conducted with a string. the following successive harmonics were measured:
46.9Hz, 53.7Hz, 61.9Hz, 70.9Hz

a. Evaluate the fundamental frequency
b. which harmonic corresponds to the 61.9Hz frequency?

Homework Equations





The Attempt at a Solution



Well, on average the gaps between the harmonics are 8Hz, so it looks like they are all multiplies of 8Hz (on average). But I don't know if its a string with two fixed points or not, because the fundamental is different in each case.
 
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But I don't know if its a string with two fixed points or not, because the fundamental is different in each case.
Why should it be different?
8 Hz is the lowest resonance frequency of the string.
 
You're right, but wouldn't that change the harmonic 61.9Hz belong to?
 
Last edited:
I don't understand that question.
 
61.9Hz is nth harmonic (first,second,third etc)
 
If 8 Hz is the fundamental frequency, what is the frequency of the first harmonic? What is the frequency of the second harmonic? ...
 
Sometimes I tend to over complicate things, thank you.
 

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