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Question

# The sound level $9.75 \mathrm{~m}$ from a loudspeaker, placed in the open, is $115 \mathrm{~dB}$. What is the acoustic power output (W) of the speaker, assuming it radiates equally in all directions?

Solution

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Given data:

$d=9.75\hspace{1mm}\text{m}$; distance from the loudspeaker

$\beta=115\hspace{1mm}\text{dB}$; loudspeaker sound level

$I_0=10^{-12}\hspace{1mm}\dfrac{\text{W}}{\text{m}^2}$; intensity at the hearing threshold

Approach:

In this task, we calculate the acoustic power output of the speakers, in Watts. To do so, we make use of the intensity ratio formula, from the hearing threshold intensity, to the intensity $I$ we need to calculate.

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