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18. Waves & Sound

Sound Intensity

18. Waves & Sound

Sound Intensity

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A source emits a sound in the shape of a cone, as shown in the figure below. If you measure the intensity to be 100 W/m² at a distance of 0.5 m, what is the power of the source?
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A sound wave from a police siren has an intensity of 0.01 W/m² at a certain distance. A second sound wave from an ambulance has a sound intensity level 8 dB greater than the police siren, when measured at the same distance. What is the sound intensity level (in dB) of the sound wave due to the ambulance?

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Suppose an explosion can just be heard over normal conversation with an intensity of $1.0 \times 10^{- 6} {W/m}^{2}$ from 10km away. At what distance from the explosion will the sound have an intensity that causes pain ( $10 {W/m}^{2}$ )? Note that this calculation ignores absorption of sound energy by air and objects.
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A speaker at a rock concert is causing you pain, so you reason the sound level must be 130dB. The speaker is 11 m away from you. To what final distance from the speaker should you move for the sound level to reach a less-painful 105 dB? Keep in mind that we are ignoring absorption of sound energy by air and objects.
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A source emits sound spherically with a power of 2.2 × 10⁴ W. What is the minimum distance away from this sound that would be considered safe (a volume of 150 dB or less)?
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