Use the following information for determining sound intensity. The number of decibels β of a sound with an intensity of I watts per square meter is given by  β = 10 log(I/I0),  where  I0  is an intensity of  10−12 watt  per square meter, corresponding roughly to the faintest sound that can be heard by the human ear. Find the number of decibels β of the sound.   I = 10−11 watt per m2 (rustle of leaves)=? I = 10−5 watt per m2 (busy street corner)=? I = 102 watt per m2 (jet at 30 meters)=? I = 10−2 watt per m2 (siren at 30 meters)=?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 50RE: The formula for measuring sound intensity indecibels D is defined by the equation D=10log (II0),...
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Use the following information for determining sound intensity. The number of decibels β of a sound with an intensity of I watts per square meter is given by 

β = 10 log(I/I0),

 where 

I0

 is an intensity of 

10−12 watt

 per square meter, corresponding roughly to the faintest sound that can be heard by the human ear. Find the number of decibels β of the sound.

 

  • I = 10−11 watt per m2 (rustle of leaves)=?
  • I = 10−5 watt per m2 (busy street corner)=?
  • I = 102 watt per m2 (jet at 30 meters)=?
  • I = 10−2 watt per m2 (siren at 30 meters)=?

 

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