Resonant Lengths in open and closed colums

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Homework Help Overview

The discussion revolves around the concept of resonant lengths in open and closed air columns, particularly in the context of musical instruments. Participants are exploring the patterns and relationships that govern these resonant lengths.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants inquire about the existence of a pattern for resonant lengths in both closed and open columns, with some seeking specific formulas or relationships.

Discussion Status

The discussion includes attempts to clarify the original question, with some participants providing formulas for resonant lengths. However, there is a lack of explicit consensus on the clarity and applicability of these formulas to the original inquiry.

Contextual Notes

Some participants express that the initial question may be too vague, indicating potential gaps in the information provided or assumptions that need to be addressed.

soulja101
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Is there a pattern for resosnant length for closed and open air coloums. Does this apply to instruments.
 
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Yes and yes.

Your question is too vague to offer any more information.
 
What is the pattern

can u tell me the pattern
 
For a closed-ended column it's:

Ln = (2n-1)Vf
4

For an open-ended column it's:

Ln = nv
2f


Ln: which resonant length your finding.
n: the number corresponding to which resonant length is being found
v: theoretical speed of sound in the particular medium you are using. in air, you can find this with the formula: v = 331.3 + 0.606*(temperature in degrees celsius)
f: frequency of the soundwave in the column.

Hope this helps :smile:
 
Sorry, the "4" and the "2f" are the denominators of the equations
 

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