1. What is speed of sound in air at temperature 17 °C? See text book. 2. Conside

Question

1. What is speed of sound in air at temperature 17 °C? See text book.

2. Consider a tube filled with air (at 17 °C) and open at both ends. Let the length of the tube be 70 cm.
(a)What is the fundamental (lowest) resonance frequency in this tube? Draw the allowed pattern of nodes and antinodes. Show your work.
(b) Draw the node-antinode pattern of the next 2 higher resonant frequencies. What is the value of those frequencies? Do the frequencies follow a pattern of 1,2,3,4,…. Or is the pattern 1,3,5,7,… ?
(c) If one end is now closed (the other end is still open), what will be the fundamental resonance frequency? What is the pattern of the higher harmonics?

Explanation / Answer

1)

The speed of sound in air c is determined by the air itself and is not dependent upon the amplitude, frequency, or wavelength of the sound.

For an ideal gas the speed of sound depends only on its temperature and is independent of gas pressure. This dependence also applies to air, in good approximation and can be regarded as an ideal gas.

The speed of sound in air at temperature 17 °C is:

343 m/s

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