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Consider a pipe whose ends can be open or closed. When we leave one end of the p

ID: 2001877 • Letter: C

Question

Consider a pipe whose ends can be open or closed. When we leave one end of the pipe open, it has a fundamental frequency of 1290 Hz .

Part A

How long is this pipe? Use v = 344 m/s.

Part B

If one end is now closed, find the wavelength of the new fundamental.

Part C

If one end is now closed, find the frequency of the new fundamental.

Please help with this!

Consider a pipe whose ends can be open or closed. When we leave one end of the pipe open, it has a fundamental frequency of 1290 Hz .

Part A

How long is this pipe? Use v = 344 m/s.

L = m

Part B

If one end is now closed, find the wavelength of the new fundamental.

= m

Part C

If one end is now closed, find the frequency of the new fundamental.

f = Hz

Please help with this!

Explanation / Answer

part A

fundamental frequency for open pipe is => n = v / 2L

so
L = 344 / 2 x 1290

L =.13 m


part B)

fundamental wavelenth = 4L = 4 x .13 = .53 m

part C)

fundamental frequency = v / 4L = 344 / 4 x .13 = 661 Hz

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