Difference in sound pressure

for 10 dB(A) change

"A" weighted

 

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Sound pressure for 65 dB(A)

 

dB(A) = 20 * log[sound pressure/sound pressure at 0 dB(A)]

65 dB(A) = 20*log[sound pressure/20]

65/20 = log[sound pressure/20]

3.25 = log[sound pressure/20]

103.25 = sound pressure/20

1778.279*20 = sound pressure = 35566 micro pascals

 

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Sound pressure for 75 dB(A)

 

dB(A) = 20 * log[sound pressure/sound pressure at 0 dB{A)]

75 dB(A) = 20*log[sound pressure/20]

75/20 = log[sound pressure/20]

3.75 = log[sound pressure/20]

103.75 = sound pressure/20

5623.413*20 = sound pressure = 112468 micro pascals

 

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Sound pressure change = 75 to 65 dB(A) = 112468 -35566 = 76902 micro pascals

 

% decrease 75-65   = (76902/112468) * 100 = .6838* 100 = 68.38% decrease

   % increase 65-75  = (112468/35566) * 100 = 316% increase

 

 

 

 

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