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3 years ago

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The range of human hearing is roughly from twenty hertz to twentykilohertz. Based on these limits and a value of 305 m/s for the

speed of sound, what are thelengths of the longest and shortest pipes (open at both ends andproducing sound at their fundamental frequencies) that you expectto find in a pipe organ?
1 ___________m (shortest pipe)
2 __________m (longest pipe)

1 answer:

AnnyKZ [126]3 years ago

7 0

Answer:

1. $L_s=0.0076\ m$

2. $L_l=7.62\ m$

Explanation:

Given that

f₁= 20 Hz

f₂= 20 KHz

C= 305 m/s

For open pie organ :

$L=\dfrac{C}{2f}$

<u>Shortest length :</u><u> </u>

$L_s=\dfrac{C}{2f_2}$

$L_s=\dfrac{305}{2\times 20000}$

$L_s=0.0076\ m$

<u>Longest length : </u>

$L_l=\dfrac{C}{2f_1}$

$L_l=\dfrac{305}{2\times 20}$

$L_l=7.62\ m$

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