SOLUTION: 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. I need the f

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.
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.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.
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.
:
The decibel formula for sound intensity:
D = 10*log
:
Where Io = 10^-12 which is the threshold of hearing (usually, the reference)
:
The formula gives the decibel value of I, compared to Io
:
An algebra book that I have gives the sound intensity of a jet with afterburner as:
8.3*10^2
:
Using the above formula where:
Io = 10^-12
I = 8.3*10^2
:
D = 10*log = 10*log add the exponents here
D = 10*log = 10*log
Find the log of 8.3(10^13) on a calculator
D = 10 * 13.919
D = 139.92 decibels
:
The ear has an incredible range the loudest sound that a person can hear without
damage to his ear, is 1,000,000,000,000 times the softest sound he can hear.
It's more convenient to use a logarithmic scale when dealing with big numbers
:
I (intensity) is actually the sound measured in watts per square meter
Here's a few more:
:
Whisper: 5.2*10^-10
:
Heavy traffic: 8.5*10^-4
:
Jackhammer: 3.2*10^-3
:
The threshold of pain: 1*10^0
:
They don't give one for obscene rap music, the threshold of pain has to be close
:
Anyway, did this help you?

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