Standing Waves in Air Columns – Practice

Questions:

1) A pipe open at both ends has a length of 0.565 m. If the speed of sound in air is 340 m/s, find:

a) The wavelength of the sound that would produce the fundamental vibration in the pipe:

b) The frequency of the fundamental vibration:

2) An open-ended pipe 34cm in length has sound travelling in it at 340m/s.

a) What is the wavelength of the fourth harmonic?

b) What is the frequency of the fourth harmonic?

3) A closed-ended pipe has sound travelling in it at 340 m/s. It produces a fundamental frequency of 240Hz.

a) What is the length of the air column?

b) What is the wavelength of the next possible harmonic above the fundamental frequency produced by this air column?

4) A pipe, closed at one end has a length of 0.50 m. If the speed of sound in air is 340 m/s:

a) Find the wavelength of the fundamental vibration in the pipe:

b) Find the frequency of the fundamental vibration:

Quick Answers:

1a) 1.13m

1b) 300.9 Hz

2a) 0.17 m

2b) 2000 Hz

3a) 35.42cm (video answer is incorrectly stated as 31.25cm)

3b) 0.42m

4a) 2m

4b) 170 Hz

Worked Answers:

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