All Problems

Elastic Waves. Acoustics.

Problem 4.163

A point isotropic source with sonic power P=0.10 WP=0.10 \mathrm{~W} is located at the centre of a round hollow cylinder with radius RR =1.0 m=1.0 \mathrm{~m} and height h=2.0 mh=2.0 \mathrm{~m}. Assuming the sound to be completely absorbed by the walls of the cylinder, find the mean energy flow reaching the lateral surface of the cylinder.

Reveal Answer
Φ=P/V1+(2R/h)2=0.07 W\langle\Phi\rangle=P / V \overline{1+(2 R / h)^{2}}=0.07 \mathrm{~W}