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A utility tunnel is a tube closed at one end. Wind blowing past the entrance produces standing sound waves in the tunnel. (a) If the distance between adjacent compressions (or rarefactions) of the sound wave is 18.4 m when the tunnel is vibrating at its fundamental frequency of 18.6 Hz, what is the temperature in the tunnel? (answer: 19 °C) (b) What is the length of the tunnel? (answer: 4.60 m) (c) What are the wavelength and frequency of the third harmonic vibration of the tunnel? (answer: 23 = 6.13 m, f3 = 55.8 Hz) (d) How long does it take an air molecule to complete 5 oscillations at the frequency of the third harmonic? (answer: 89.6 ms)

A utility tunnel is a tube closed at one end. Wind blowing past the entrance produces standing sound waves in the tunnel. (a) If the distance between adjacent compressions (or rarefactions) of the sound wave is 18.4 m when the tunnel is vibrating at its fundamental frequency of 18.6 Hz, what is the temperature in the tunnel? (answer: 19 °C) (b) What is the length of the tunnel? (answer: 4.60 m) (c) What are the wavelength and frequency of the third harmonic vibration of the tunnel? (answer: 23 = 6.13 m, f3 = 55.8 Hz) (d) How long does it take an air molecule to complete 5 oscillations at the frequency of the third harmonic? (answer: 89.6 ms)

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Standing Sound Waves in a Utility Shaft A utility tunnel is a tube closed at one end. Wind blowing past the entrance produces standing sound waves in the tunnel. (a) If the distance between adjacent compressions (or rarefactions) of the sound wave is 18.4 m when the tunnel is vibrating at its fundamental frequency of 18.6 Hz, what is the temperature in the tunnel? (answer: 19 °C) (b) What is the length of the tunnel? (answer: 4.60 m) (c) What are the wavelength and frequency of the third harmonic vibration of the tunnel? (answer: 23 6.13 m, f3 = 55.8 Hz) (d) How long does it take an air molecule to complete 5 oscillations at the frequency of the third harmonic? (answer: 89.6 ms)
Transcribed Image Text:Standing Sound Waves in a Utility Shaft A utility tunnel is a tube closed at one end. Wind blowing past the entrance produces standing sound waves in the tunnel. (a) If the distance between adjacent compressions (or rarefactions) of the sound wave is 18.4 m when the tunnel is vibrating at its fundamental frequency of 18.6 Hz, what is the temperature in the tunnel? (answer: 19 °C) (b) What is the length of the tunnel? (answer: 4.60 m) (c) What are the wavelength and frequency of the third harmonic vibration of the tunnel? (answer: 23 6.13 m, f3 = 55.8 Hz) (d) How long does it take an air molecule to complete 5 oscillations at the frequency of the third harmonic? (answer: 89.6 ms)
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