Problem 12.23 Standing sound waves are produced in a pipe that is 1.40 m long. P

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Problem 12.23

Standing sound waves are produced in a pipe that is 1.40 m long.

Part A

If the pipe is open at both ends , determine the locations along the pipe (measured from the left end) of the displacement nodes for the fundamental frequency.

If there is more than one value, separate your answers with commas.

1,2,3

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Part B

If the pipe is open at both ends, determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone.

If there is more than one value, separate your answers with commas.

0.350,1.05

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Correct

Part C

If the pipe is open at both ends, determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.

If there is more than one value, separate your answers with commas.

0.233,0.700,1.17

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Correct

Part D

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the fundamental frequency.

If there is more than one value, separate your answers with commas.

0

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Correct

Part E

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone.

If there is more than one value, separate your answers with commas.

0,0.933

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Correct

Part F

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.

If there is more than one value, separate your answers with commas .

0,0.560,1.12

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Correct

Problem 12.23

Standing sound waves are produced in a pipe that is 1.40 m long.

Part A

If the pipe is open at both ends , determine the locations along the pipe (measured from the left end) of the displacement nodes for the fundamental frequency.

If there is more than one value, separate your answers with commas.

x =

1,2,3

  m  

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Incorrect; Try Again; 4 attempts remaining

Part B

If the pipe is open at both ends, determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone.

If there is more than one value, separate your answers with commas.

x =

0.350,1.05

  m  

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Correct

Part C

If the pipe is open at both ends, determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.

If there is more than one value, separate your answers with commas.

x =

0.233,0.700,1.17

  m  

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Correct

Part D

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the fundamental frequency.

If there is more than one value, separate your answers with commas.

x =

0

  m  

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Correct

Part E

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the first overtone.

If there is more than one value, separate your answers with commas.

x =

0,0.933

  m  

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Correct

Part F

If the pipe is closed at the left end and open at the right end , determine the locations along the pipe (measured from the left end) of the displacement nodes for the second overtone.

If there is more than one value, separate your answers with commas .

x =

0,0.560,1.12

  m  

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Correct

Explanation / Answer

Length of pipe L =1.4 m

For fundamental frequency the position of displacement node is =L/2 =1.4/2 =0.7 m

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