the resonant frequency F of a closed air column is known to depend on the pressure and the density, p of the air and the length L of the air column. how are these quantities related?
1
Expert's answer
2019-05-23T09:44:00-0400
The resonant frequency F of a closed air column:
"F=\\frac{v_{sound}}{4L}"
At the same time:
"v_{sound}=\\sqrt{\\frac{K_s}{\\rho}}"
Consequently:
"F=\\frac{1}{4L}\\sqrt{\\frac{K_s}{\\rho}}"
Where "K_s" is a coefficient of stiffness, "\\rho" -air density, "L" -length of the air column.
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