Intensity of sound wave when given sound intensity level.

In summary, the conversation discusses how to calculate the intensity of a sound wave with a sound intensity level of 34 dB, using the equation B = (10dB) log (I/Io). The attempt at a solution involves rearranging the equation and plugging in values, but the result is incorrect. After seeking help, it is discovered that the error was due to a miscalculation of 10^3.4. The correct intensity is 2.0x10^-9 W/m^2.
  • #1
Ericv_91
25
1

Homework Statement



What is the intensity of sound wave with sound intensity level 34 dB?


Homework Equations



B = (10dB) log (I/Io) B = sound intensity level, I = intensity, Io= 1.0x10^-12 W/m^2



The Attempt at a Solution



I figured it would be simply a matter of rearranging the equation above to solve for I and entering all the values giving:

I = Io x 10^(B/10 dB)
I = (1.0x10^-12) x 10^(34/10)
I = 2.0x10^-9 W/m^2

However the assignment tells me that I am wrong. Am I missing something very very basic? Am I using the wrong equation all together? My textbook won't tell me, so I've turned to Physics Forums. :rolleyes:
 
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  • #2
Recalculate 10^3.4.

ehild
 
  • #3
My calculator decided to cut off a 5 after the 2. *sigh*. Thanks.
 

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