contestada

Find the length (in m) of an organ pipe closed at one end that produces a fundamental frequency of 175 Hz when air temperature is 18.0°C

Respuesta :

Answer:

Length = 0.4882 m

Explanation:

given data

fundamental frequency = 175 Hz

air temperature = 18.0°C

solution

we will apply here fundamental frequency formula that is

F = [tex]\frac{v}{4L}[/tex]      ....................1

here v =   [tex]331 \sqrt{1+\frac{T}{273}}[/tex]  

here 331 m/s is speed of sound in air

so v =  [tex]331 \sqrt{1+\frac{18}{273}}[/tex]   = 341.74 m/s

now put value in equation 1 we get

F = [tex]\frac{v}{4L}[/tex]

[tex]175 = \frac{341.74}{4L}[/tex]  

Length = 0.4882 m

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