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and please help with below part and i will rate! thanks! 4,P, 067, Previous Answ

ID: 1606746 • Letter: A

Question

and please help with below part and i will rate! thanks!

4,P, 067, Previous Answers SerCP9 /2 point My Notes A stereo speaker is placed between two observers who are 35 m apart, along the line connecting them. If one observer records an intensity level of 58 dB, and the ather records an intensity level of BS dB, how far is the speaker fram each observer? closer observer farther observe 798 Your response differs from the correct answer by more than 10%. Double check your calculations. m Need Help?

Explanation / Answer


decibel level dB1 = 10*log(I1/I0)

58 = 10*log(I1/10^-12)


I1 = 6.3*10^-7 W/m^2


decibel level dB2 = 10*log(I2/I0)

85 = 10*log(I2/10^-12)


I2 = 0.000316 W/m^2


I2/I1 = (r1/r2)^2


(r1/r2)^2 = (0.000316/(6.3*10^-7))

r1/r2 = 22.4

r1 = 22.4*r2

given r1 + r2 = 35 m


22.4*r2 + r2 = 35


r2 = 1.49 m <<<-----answer

r1 = 22.4*1.49 = 33.376 m <<<<<------answer


===================================

fundamentl frequency f = (1/2L)*sqrt(T/u)

T = tension


u = linear mass density = m/L


f = (1/2L)*sqrt(TL/m)

261.6 = (1/(2*0.9))*sqrt(T*0.9/(4.3*10^-3))

T = 1059.4 N <<<<========ANSWER