Physics
posted by Joey .
Hi I am absolutely stumped on this question.
A loudspeaker is placed between two observers who are 110 m apart, along the line connecting them. If one observer records a sound level of 60.1 dB and the other records a sound level of 74.9 dB, how far is the speaker from each observer?
What I did for this is
I found the the Intensities of both the sound levels.
Then using the formula r1= SQRT(I2/I1)*R2
I would solve for r1 and then do r1+r2=113 to find r2.
I also don't know what value to assign for I2 and I1, i tried both ways but its wrong.
Please Help!
Thanks In Advance

The sound level difference is 14.8 dB. That means that the sound intensity ratio is 10^0.148 = 30.2
That means one speaker is sqrt 30.2 = 5.50 times farther way from the source than the other. If x is the shorter distance
x = 5.50 x = 6.50 x = 110 m.
x = 16.9 m The other distace is 93.1 m 
Hey sorry about the 3 posts, It was an accident.
Just a quick question, why do you need to find the sound level difference? 
One more thing,
how did you find 10^0.148 be 30.2? isn't it 1.406. I do see you used a ratio, but what was divided? 
I meant 10^1.48 = 30.2. Sorry about the typo. The 30.2 is correct. 1.48 is 1/10 of the dB difference in received sopund power levels.
If it is a mystery where the 10^(0.1*dB difference)comes from, that is the definition of decibals in terms of intensity ratio
Log10(I2/I1) = 1/10 (dB2  dB1)
10^[0.1(dB2dB1)] = I2/I1 
how do you get 6.50
and the final answers to be 16.9m & 93.1m? 
I2/I1 = (r2)^2/(r1)^2
square root of (I2/I1) = r2/r1
This will be the difference between the two.
Therefore (distance between the two people/ square root of (I2/I1)) = smallest distance from loud speaker.
And distance between the two people minus the smallest distance is the largest distance.
Respond to this Question
Similar Questions

Physics
Hi I am absolutely stumped on this question. A loudspeaker is placed between two observers who are 110 m apart, along the line connecting them. If one observer records a sound level of 60.1 dB and the other records a sound level of … 
Physics
Hi I am absolutely stumped on this question. A loudspeaker is placed between two observers who are 110 m apart, along the line connecting them. If one observer records a sound level of 60.1 dB and the other records a sound level of … 
Physics
Hi I am absolutely stumped on this question. A loudspeaker is placed between two observers who are 110 m apart, along the line connecting them. If one observer records a sound level of 60.1 dB and the other records a sound level of … 
physics
A loudspeaker is placed between two observers who are 114 m apart, along the line connecting them. If one observer records a sound level of 61.6 dB and the other records a sound level of 81.3 dB, how far is the speaker from each observer? 
physics
Posted by Anonymous on Tuesday, December 2, 2008 at 12:43am. A loudspeaker is placed between two observers who are 114 m apart, along the line connecting them. If one observer records a sound level of 61.6 dB and the other records … 
physics
A loudspeaker is placed between two observers who are 111 m apart, along the line connecting them. If one observer records a sound level of 51.9 dB and the other records a sound level of 82.5 dB, how far is the speaker from each observer? 
physics
A college student is at a concert and really wants to hear the music, so she sits between two inphase loudspeakers, which point toward each other and are 60.8 m apart. The speakers emit sound at a frequency of 428.75 Hz. At the midpoint … 
physics
A college student is at a concert and really wants to hear the music, so she sits between two inphase loudspeakers, which point toward each other and are 60.8 m apart. The speakers emit sound at a frequency of 428.75 Hz. At the midpoint … 
Physics HELP!!
A loudspeaker is placed between two observers who are 113m apart, along the line connecting them. If one observer records a sound level of 51.8dB and the other records a sound level of 75.8dB, how far is the speaker from each observer? 
math
Each of two observers 475 feet apart measures the angle of elevation to the top of a tree that sits on the straight line between them. These angles are 55° and 59°, for observers A and B, respectively. How tall is the tree?