document.write( "Question 83004: The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.\r
\n" ); document.write( "\n" ); document.write( "I need the formula for measuring sound and pick a specific sound (a jet's sound when taking off) give the decibels of the sound, and explain what this measurement means. \n" ); document.write( "
Algebra.Com's Answer #59731 by ankor@dixie-net.com(22740)\"\" \"About 
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The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.
\n" ); document.write( "I need the formula for measuring sound and pick a specific sound (a jet's sound when taking off) give the decibels of the sound, and explain what this measurement means.
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\n" ); document.write( "The decibel formula for sound intensity:
\n" ); document.write( "D = 10*log\"%28I%2FIo%29\"
\n" ); document.write( ":
\n" ); document.write( "Where Io = 10^-12 which is the threshold of hearing (usually, the reference)
\n" ); document.write( ":
\n" ); document.write( "The formula gives the decibel value of I, compared to Io
\n" ); document.write( ":
\n" ); document.write( "An algebra book that I have gives the sound intensity of a jet with afterburner as:
\n" ); document.write( " 8.3*10^2
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\n" ); document.write( "Using the above formula where:
\n" ); document.write( "Io = 10^-12
\n" ); document.write( "I = 8.3*10^2
\n" ); document.write( ":
\n" ); document.write( "D = 10*log\"%28%288.3%2A10%5E2%29%2F%2810%5E-12%29%29\" = 10*log\"%28.83%2A10%5E%282%2B12%29%29\" add the exponents here
\n" ); document.write( "D = 10*log\"%28.83%2A10%5E14%29\" = 10*log\"%288.3%2A10%5E13%29\"
\n" ); document.write( "Find the log of 8.3(10^13) on a calculator
\n" ); document.write( "D = 10 * 13.919
\n" ); document.write( "D = 139.92 decibels
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\n" ); document.write( "The ear has an incredible range the loudest sound that a person can hear without
\n" ); document.write( "damage to his ear, is 1,000,000,000,000 times the softest sound he can hear.
\n" ); document.write( "It's more convenient to use a logarithmic scale when dealing with big numbers
\n" ); document.write( ":
\n" ); document.write( "I (intensity) is actually the sound measured in watts per square meter
\n" ); document.write( "Here's a few more:
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\n" ); document.write( "Whisper: 5.2*10^-10
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\n" ); document.write( "Heavy traffic: 8.5*10^-4
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\n" ); document.write( "Jackhammer: 3.2*10^-3
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\n" ); document.write( "The threshold of pain: 1*10^0
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\n" ); document.write( "They don't give one for obscene rap music, the threshold of pain has to be close
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\n" ); document.write( "Anyway, did this help you?
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