As you learned in class, a sound wave is a pressure wave that propagates through the air (or other medium). This means that at some points the pressure is increased (beyond normal) and at others the pressure is decreased (beyond normal). While increases in pressure can be arbitrarily large, the pressure can only be decreased to 0 Pa. Beyond this the sound wave will be "clipped" and the sound wave will be distorted. The amplitude of the pressure distortion AP is related to the Intensity of the sound I by the relation I=AP/(2pv) where p is the density of air (1.29 kg/m³) and v is the speed of sound 340.5 m/s. Find the maximum sound level of a sound that can propagate undistorted through the air if the outside pressure is 101.7 kPa. Number

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As you learned in class, a sound wave is a pressure wave that propagates through the air (or other medium). This means that at some points the pressure is
increased (beyond normal) and at others the pressure is decreased (beyond normal). While increases in pressure can be arbitrarily large, the pressure can
only be decreased to 0 Pa. Beyond this the sound wave will be "clipped" and the sound wave will be distorted. The amplitude of the pressure distortion AP is
related to the Intensity of the sound I by the relation I-AP²/(2pu) where p is the density of air (1.29 kg/m³) and is the speed of sound 340.5 m/s. Find the
maximum sound level of a sound that can propagate undistorted through the air if the outside pressure is 101.7 kPa.
Number
Transcribed Image Text:As you learned in class, a sound wave is a pressure wave that propagates through the air (or other medium). This means that at some points the pressure is increased (beyond normal) and at others the pressure is decreased (beyond normal). While increases in pressure can be arbitrarily large, the pressure can only be decreased to 0 Pa. Beyond this the sound wave will be "clipped" and the sound wave will be distorted. The amplitude of the pressure distortion AP is related to the Intensity of the sound I by the relation I-AP²/(2pu) where p is the density of air (1.29 kg/m³) and is the speed of sound 340.5 m/s. Find the maximum sound level of a sound that can propagate undistorted through the air if the outside pressure is 101.7 kPa. Number
Your friend is firing a gun, and you want to be a safe distance away, so you walk away until there is 1.9 s between the time you see the gun fire, and the time
you hear it. You think this still might not be safe enough, so you back up more until the loudness decreases by 6.05 dB. How long does it take the sound
from the gunshot to reach you now?
Number
Hint, you may find it useful to remember that logA-logB=log(A/B), and use the speed of sound as 340 m/s.
S.
Transcribed Image Text:Your friend is firing a gun, and you want to be a safe distance away, so you walk away until there is 1.9 s between the time you see the gun fire, and the time you hear it. You think this still might not be safe enough, so you back up more until the loudness decreases by 6.05 dB. How long does it take the sound from the gunshot to reach you now? Number Hint, you may find it useful to remember that logA-logB=log(A/B), and use the speed of sound as 340 m/s. S.
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