Loudness is measured in decibels. The formula for the loudness of a sound is given by "dB = 10E - where I, is the intensity of "threshold sound", or sound that can barely be perceived. Other sounds are defined in terms of how many times more intense they are than threshold sound. For instance, a cat's purr is about 316 times as intense as threshold sound, for a decibel rating of: dB = 101og ! = 10log(316 1,) lo = 10log[ 316] = 24.9968708262...or 25 decibels. Considering that prolonged exposure to sounds above 85 decibels can cause hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has an intensity of about I (2.5 x101)Lo, should you follow the rules and wear ear protection when relaxing at the rifle range?
Loudness is measured in decibels. The formula for the loudness of a sound is given by "dB = 10E - where I, is the intensity of "threshold sound", or sound that can barely be perceived. Other sounds are defined in terms of how many times more intense they are than threshold sound. For instance, a cat's purr is about 316 times as intense as threshold sound, for a decibel rating of: dB = 101og ! = 10log(316 1,) lo = 10log[ 316] = 24.9968708262...or 25 decibels. Considering that prolonged exposure to sounds above 85 decibels can cause hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has an intensity of about I (2.5 x101)Lo, should you follow the rules and wear ear protection when relaxing at the rifle range?
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 28PT: The formula for measuring sound intensityin decibels D is defined by the equation D=10log(II0) where...
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![Loudness is measured in decibels. The formula for the loudness of a sound is
given by "dB = 10 0E where Io is the intensity of "threshold sound", or sound that can
barely be perceived. Other sounds are defined in terms of how many times more intense
they are than threshold sound. For instance, a cat's purr is about 316 times as intense
as threshold sound, for a decibel rating of:
dB = 101og !
= 10og(316 1)
lo
= 10log[ 316]
= 24.9968708262..or 25 decibels.
Considering that prolonged exposure to sounds above 85 decibels can cause
hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has an
intensity of about I = (2.5 x101a)Io, should you follow the rules and wear ear protection
when relaxing at the rifle range?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7a525a2-2667-4a0a-a172-494649ae0310%2F44b84b19-c6f2-438f-a0a1-8fdb2bcac472%2Fmqdp3qs8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Loudness is measured in decibels. The formula for the loudness of a sound is
given by "dB = 10 0E where Io is the intensity of "threshold sound", or sound that can
barely be perceived. Other sounds are defined in terms of how many times more intense
they are than threshold sound. For instance, a cat's purr is about 316 times as intense
as threshold sound, for a decibel rating of:
dB = 101og !
= 10og(316 1)
lo
= 10log[ 316]
= 24.9968708262..or 25 decibels.
Considering that prolonged exposure to sounds above 85 decibels can cause
hearing damage or loss, and considering that a gunshot from a .22 rimfire rifle has an
intensity of about I = (2.5 x101a)Io, should you follow the rules and wear ear protection
when relaxing at the rifle range?
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