# Sound waves: Calculate the longest and shortest pipe lengths in a pipe organ.

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The range of human hearing is roughly from twenty Hz to twenty kilohertz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe organ?

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In clear narrative with full calculations, the solution arrives at the answer.

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For a pipe open at both ends the frequencies follow the relation

fn=n*v/(2L), where n=1, 2, 3, 4, 5?

where n=1 fundamental freq. and ...

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