Worksheet Practice with Resonance in Pipes
Refer to the following information for the next eight questions.

Describe the requested waveforms using "A" for an antinode and "N" for a node. For example, the fundamental in an open pipe would be expressed as "A N A" and the fundamental in a closed pipe would be expressed as "N A." Practice on your papers sketching the waveforms so you can become familiar with their constructions.

Open Pipe:

Closed Pipe:

 Describe the waveform for the third harmonic in an open pipe.

 In terms of overtones, what is another name for the waveform in the previous question?

 Describe the third harmonic for a closed pipe.

 In terms of overtones, what is another name for the waveform in the previous question?

 Describe the waveform for the fifth harmonic in a closed pipe.

 In terms of overtones, what is another name for the waveform in the previous question?

 Describe the waveform for the second harmonic in an open pipe.

 In terms of overtones, what is another name for the waveform in the previous question?

Refer to the following information for the next three questions.

Several open pipes are located in a room whose temperature is 26ºC.
 How fast does sound travel in this room?

 How long would an open pipe need to be in this room if its fundamental frequency is 392 hz?

 How long would a closed pipe need to be in this room if its fundamental frequency is 392 hz?

Refer to the following information for the next three questions.

A pipe has 110 hz, 220 hz, and 330 hz as its first three natural frequencies.
 Is this an open or closed pipe?

 If the pipe is 1.6 meters long, what is the temperature of the attic room in which the pipe is being examined?

 What would be the wavelength of the 5th harmonic in this pipe?

Refer to the following information for the next three questions.

A closed pipe is 0.60 meters long. The air temperature is 20ºC.
 What is the fundamental frequency in the pipe?

 What would be the frequency of the 2nd harmonic in this pipe?

 What would be the wavelength of the 5th harmonic in this pipe?

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