(10%) Problem 9: A single dog barks at a sound intensity level of Randomized Var

Question

(10%) Problem 9: A single dog barks at a sound intensity level of Randomized Variables =98 dB 98 dB 50% Part (a) Another dog runs up beside the first dog and starts barking at the same sound intensity level. What sound intensity level in dB do you hear from the two dogs barking? Grade Summary 0% 100% Potential Attempts remaining: S cotanasinacos0 atan) acotan)sinh0 cosh0 tanh) cotanh0 oDegrees Radians % per attempt) detailed view 12 3 END CLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 3 Feedback: 1% deduction per feedback. -là 50% Part (b) Now many other dogs run up and start barking at you. Assuming they all bark at the same sound intensity level, what will the sound intensity level in dB be if there are n = 4 dogs barking at you?

Explanation / Answer

sound level = 10 log( I / I0)

98 = 10 log (I / 10^-12)

I = 10^(9.8- 12) = 6.31 x 10^-3 W/m^2

(A) when two dog barks,

I' = 2 I = 0.0126 W/m^2

Sound level = 10 log(0.0126/10^-12) = 101 dB  

(B) I' = 4 I = 0.0252 W/m^2

SL = 10 log(0.0252 / 10^-12) = 104 dB

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