All Problems

Elastic Waves. Acoustics.

Problem 4.182

A plane sound wave propagates along the xx axis. The damping coefficient of the wave is γ=0.0230 m1\gamma=0.0230 \mathrm{~m}^{-1}. At the point x=0x=0 the loudness level is L=60L=60 dB. Find: (a) the loudness level at a point with coordinate x=50 mx=50 \mathrm{~m} (b) the coordinate xx of the point at which the sound is not heard any more.

Reveal Answer
(a) L=L20γxloge=50 dBL^{\prime}=L-20 \gamma x \log \mathrm{e}=50 \mathrm{~dB} (b) x=0.30 kmx=0.30 \mathrm{~km}.