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If the fundamental frequency of a piece of conduit is 707 Hz, and the speed of sound is 343 m/s, determine the length of the piece of conduit (in m) for each of the following cases. (a) the piece of conduit is closed at one end (b) the piece of conduit is open at both ends

Respuesta :

Answer:

a) 0.12 m

b) 0.24 m

Explanation:

[tex]f_0[/tex]= Fundamental frequency = 707 Hz

Speed of sound = 343 m/s

Length of the piece of conduit

a) Closed at one end

[tex]f_0=\frac{v}{4L}\\\Rightarrow L=\frac{v}{4f_0}\\\Rightarrow L=\frac{343}{4\times 707}\\\Rightarrow L=0.12\ m[/tex]

Length of conduit = 0.12 m

a) Open at both ends

[tex]f_0=\frac{v}{2L}\\\Rightarrow L=\frac{v}{2f_0}\\\Rightarrow L=\frac{343}{2\times 707}\\\Rightarrow L=0.24\ m[/tex]

Length of conduit = 0.24 m

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