Answer to Question #122353 in Physics for Lilly

Question #122353
A source vibration for a sound wave makes 9.8  106

oscillations (cycles) in 3.5 minutes.
If the speed of the sound wave generated is 318.9 m/s, then determine the distance between
2 successive compressions of the sound wave train.
1
Expert's answer
2020-06-17T09:30:33-0400

The frequency of the source is the number of oscillations in one second:

f=9.81063.560s46.7kHzf = \dfrac{9.8\cdot 10^6}{3.5\cdot 60s} \approx 46.7 kHz

The distance between 2 successive compressions of the sound wave is called the wavelength. The wavelength λ\lambda, frequency ff and speed vv are connected in the following way:


λ=v/f\lambda = v/f


Substituting the numerical values, get:


λ=318.9m/s46.7103Hz6.81mm\lambda = \dfrac{318.9m/s}{46.7\cdot 10^3 Hz} \approx6.81mm

Answer. 6.81 mm.



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