Question about sound frequency of an organ ?

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The discussion revolves around estimating the frequency of sound produced by an organ pipe, specifically one that is open at both ends. Participants debate the appropriate formula to use, clarifying that the correct equation involves a factor of 2L instead of 4L, as initially suggested. Length estimation is discussed, with a consensus around 1.5 meters based on the size of the person in the image. The fundamental frequency is determined by assuming n=1, leading to a calculated speed of sound of approximately 114.6 m/s. The conversation emphasizes the importance of using the correct formula and the significance of significant figures in the final answer.
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Question about sound frequency of an organ...?

Homework Statement



Based on this picture from the Jehmlich organ manufacturer in Dresden, Germany, estimate the frequency of sound produced by the organ pipe held by the man. Assume that the pipe is a tube open at both ends.
http://cache.daylife.com/imageserve/01iq4P0e330tQ/610x.jpg

Homework Equations





The Attempt at a Solution



I feel like the formula to be used is Fn=n(V/4L)...I am not sure how to estimate length (maybe 1.5 m based on the size of the person?) And ahve no idea what n would be, or if I am evenusing the right formula...any experts...?
 
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Hi physicsdawg,

physicsdawg said:

Homework Statement



Based on this picture from the Jehmlich organ manufacturer in Dresden, Germany, estimate the frequency of sound produced by the organ pipe held by the man. Assume that the pipe is a tube open at both ends.
http://cache.daylife.com/imageserve/01iq4P0e330tQ/610x.jpg

Homework Equations





The Attempt at a Solution



I feel like the formula to be used is Fn=n(V/4L)...I am not sure how to estimate length (maybe 1.5 m based on the size of the person?) And ahve no idea what n would be, or if I am evenusing the right formula...any experts...?

No, I don't believe your equation is correct. That equation applies to the case of a tube with only one end open. Since the problem says assume that both ends are open, what formula do you get?
 
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your right, it should be a 2L...from the picture I determine the length to be 1.5...what do you think of this estimation?

and how do I figure out what N equals??Thanx
 


physicsdawg said:
your right, it should be a 2L...from the picture I determine the length to be 1.5...what do you think of this estimation?

and how do I figure out what N equals??Thanx

I believe your length estimate is okay; it seems to me like they just want you to find a rough estimate.

About N, I would think that they want you to find the fundamental frequency.
 


so just assume n=1? Then I get the final answer to be square root (344/3) = 114.6 m/s

does this look right??>
 


physicsdawg said:
so just assume n=1? Then I get the final answer to be square root (344/3) = 114.6 m/s

does this look right??>

The answer looks okay to me (are significant figures important?), but why did you say square root?
 

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