Anne Wacker

2022-01-03

An organ pipe is made to play a low note at 27.5 Hz, the same as the lowest note on a piano. Assuming a sound speed of 343 m/s, what length open-open pipe is needed? What length open-closed pipe would suffice?

aquariump9

Expert

The formula for a standing wave's frequency in an open-ended tube is
${f}_{1}=\frac{v}{2L}$
$L=\frac{v}{2{f}_{1}}$
$L=\frac{343}{2×27.5}$

The formula for a standing wave's dor frequency in an open-close tube is
${f}_{1}=\frac{v}{4L}$
$L=\frac{v}{4{f}_{1}}$
$L=\frac{343}{4×27.5}$

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