All Problems

Elastic Waves. Acoustics.

Problem 4.183

At a distance r0=20.0 mr_{0}=20.0 \mathrm{~m} from a point isotropic source of sound the loudness level L0=30.0 dBL_{0}=30.0 \mathrm{~dB}. Neglecting the damping of the sound wave, find: (a) the loudness level at a distance r=10.0 mr=10.0 \mathrm{~m} from the source; (b) the distance from the source at which the sound is not heard.

Reveal Answer
(a) L=L0+20log(r0/r)=36 dB;L=L_{0}+20 \log \left(r_{0} / r\right)=36 \mathrm{~dB} ; (b) r>0.63 kmr>0.63 \mathrm{~km}.