A window whose area is 2 m$^{2}$ opens on a street, where the street noise results at the window with an…
A window whose area is 2 m$^{2}$ opens on a street, where the street noise results at the window with an intensity level of 60 dB. How much acoustic power enters the window through sound waves? Now, if a sound absorber is fitted at the window, how much energy from the street will it collect in a day?
Solution
Sol. By definition, sound level = $10\log\frac{i}{i_0}=60$ or $\frac{i}{i_0}=10^6$
$i=10^{-12}\times10^6=1\alpha\,\mathrm{Wm^{-2}}$
Power entering the room = $1\times2=2\alpha\,\mathrm{W}$
Energy collected in a day = $2\times10^{-6}\times86400=0.173\,\mathrm{J}$
Answer: 0.173 J