An outside loudspeaker (considered a small source) emits sound waves with (a) Find the intensity 12.5 m from the source. W/m² (h

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**Sound Intensity and Decibel Levels**

An outside loudspeaker (considered a small source) emits sound waves with a power output of 104 W.

**(a)** Find the intensity 12.5 m from the source.

\[ \Box \text{ W/m}^2 \]

**(b)** Find the intensity level in decibels at that distance.

\[ \Box \text{ dB} \]

**(c)** At what distance would you experience the sound at the threshold of pain, 120 dB?

\[ \Box \text{ m} \]

**Explanation**:
This exercise involves calculating sound intensity and corresponding decibel levels. You will use the power output of the loudspeaker, the distance from the source, and the properties of sound propagation to find these values.

Ensure your calculations follow the principles of sound wave physics, especially considering how intensity decreases with distance.
Transcribed Image Text:**Sound Intensity and Decibel Levels** An outside loudspeaker (considered a small source) emits sound waves with a power output of 104 W. **(a)** Find the intensity 12.5 m from the source. \[ \Box \text{ W/m}^2 \] **(b)** Find the intensity level in decibels at that distance. \[ \Box \text{ dB} \] **(c)** At what distance would you experience the sound at the threshold of pain, 120 dB? \[ \Box \text{ m} \] **Explanation**: This exercise involves calculating sound intensity and corresponding decibel levels. You will use the power output of the loudspeaker, the distance from the source, and the properties of sound propagation to find these values. Ensure your calculations follow the principles of sound wave physics, especially considering how intensity decreases with distance.
Expert Solution
Step 1

(a)
Intensity at 12.5 m from the source is 0.053W/m2
(b)
Intensity level in decibels at this distance is 107.24 dB.
(c)
The distance at which the intensity level would be 120 dB is 2.87 m

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