Calculate open pipe length given resonance.

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Homework Help Overview

The problem involves calculating the length of an open pipe required to resonate at a frequency of 384 Hz, given the speed of sound as 343 m/s. The context is rooted in the physics of sound waves and resonance in open pipes.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster expresses confusion about how to begin the problem. Some participants suggest considering the relationship between wavelength and pipe length for resonance.

Discussion Status

Participants are exploring the problem, with one individual attempting a calculation for the pipe length. There is an inquiry about understanding the formula used, particularly the significance of the "2" in the denominator, indicating a focus on conceptual understanding.

Contextual Notes

There is an assumption of familiarity with the relevant equations and concepts of resonance in open pipes, which may not be fully established for all participants.

seker
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Homework Statement



What length of open pipe is needed to give resonance to a 384 Hz sound? Assume the speed of sound to 343 m/s.

Homework Equations



f=\frac{nv}{2l}

The Attempt at a Solution



I am lost as to how to even start this problem.
 
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welcome to pf!

hi seker! welcome to pf! :smile:

what is the (shortest) length (of an open pipe) needed to give a particular wavelength? :wink:
 
This is what I have come up with so far.

(384)(l)=\frac{(1)(343)}{2}

l=9.45m
 
looks ok! :smile:

(btw, do you understand why there's a "2" on the bottom, and would you be able to work it out for yourself in an exam if you couldn't remember the exact formula? :wink:)
 

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