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

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