Finding Harmonics: Frequency Multiplication?

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    Harmonics
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Homework Help Overview

The discussion revolves around finding harmonics in the context of a vibrating string, specifically when the fundamental frequency is given as 343Hz. Participants are exploring the relationship between harmonic numbers and frequency multiplication.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the method of calculating harmonics by multiplying the harmonic number by the fundamental frequency. Some question if there are complexities involved in different scenarios, while others confirm the simplicity of the situation presented.

Discussion Status

The discussion appears to be productive, with participants confirming the straightforward nature of the problem while also acknowledging potential complexities in other contexts. There is no explicit consensus, but the conversation is focused on clarifying assumptions and interpretations of the problem.

Contextual Notes

Participants note that the problem specifies a string vibrating in a fundamental mode, which may influence the interpretation of the harmonic calculations. There is a suggestion that additional information could change the complexity of the situation.

lilkrazyrae
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In finding harmonics do you just multiply the harmonic number times the frequency? Find the first four harmonics when f=343Hz would be f1=343Hz, f2=686Hz, f3=1029Hz, and f4=1372Hz. This just seems too easy.
 
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That's basically it! There are situations where it's a bit more complex (oddly shaped waveguides, nonuniform media etc.) but that's not the case here (unless there is other pertinent information you have not disclosed).
 
The problem reads exactly A string vibrates in a fundamental mode at 343Hz. Find the first four harmonics. Is this a special situation??
 
Nope - nothing special about that! For a string the harmonics are simple!
 

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