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## A whistle is often used in dog-‐‑training exercises and is an integral part of field-‐‑marking competitions, where signals and commands ar

Question

A whistle is often used in dog-‐‑training exercises and is an integral part of field-‐‑marking competitions, where signals and commands are relayed to the dog via whistle. Suppose the whistle produces a sound wave with a frequency of 25,100 Hz (outside the range of human hearing) and the propagation speed of sound in air is 343 m/s.

1) What is the wavelength and wave number of this sound from the whistle?

2) Write the wave function for the longitudinal sound wave described above, assuming the amplitude of the sound wave is Smax = 1.57 x 10-‐‑6 m and it is moving to the right (in the positive x direction).

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Physics
3 years
2021-08-17T11:17:32+00:00
2021-08-17T11:17:32+00:00 1 Answers
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## Answers ( )

Answer:The wavelength is

The wave number is

The wave function is

Explanation:From the question we are told that

The frequency of the sound wave is

The speed of the wave is

The wavelength of the wave is mathematically evaluated as

substituting values

The wave number is mathematically represented as

substituting values

The general form of wave function is

given that the amplitude is

While which is the angular velocity is represented as

and k which is the angular wave number is mathematically represented as

The wave function becomes

substituting values