c) When testing a supersonic jet nozzle for certification purposes, an aerospace engineer used a far-field microphone to measure the noise power spectrum density (PSD) radi- ated by the jet issuing from the nozzle. The engineer found that the measured noise spectrum, PSD(f)= ented by a piece-wise linear function (Equation1): where f is frequency and W is acoustic power can be repres- df PSD=0,if f<0; PSD=Af,if02fo. Calculate the acoustic power, W in physical pressure units (Pa") corresponding to the jet noise perceived at the same microphone location as a function of A and fo. What is the acoustic power in case A=200 Pa'| Hz and fo=100 Hz? Provide a clear explanation of every step of your analysis.

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c) When testing a supersonic jet nozzle for certification purposes, an aerospace engineer
used a far-field microphone to measure the noise power spectrum density (PSD) radi-
ated by the jet issuing from the nozzle. The engineer found that the measured noise
spectrum, PSD(f)=:
dW
where f is frequency and W is acoustic power can be repres-
df
ented by a piece-wise linear function (Equation1):
PSD=0,if f<0;
PSD=Af,if0<f<foi
PSD=2Af,-Af ,if f.<f<2fo:
Equation 1
PSD=0,if f>2fo.
Calculate the acoustic power, W in physical pressure units (Pa") corresponding to the jet
noise perceived at the same microphone location as a function of A and fo. What is the
acoustic power in case A=200 Pa'/ Hz and fo=100 Hz? Provide a clear explanation of
every step of your analysis.
Transcribed Image Text:c) When testing a supersonic jet nozzle for certification purposes, an aerospace engineer used a far-field microphone to measure the noise power spectrum density (PSD) radi- ated by the jet issuing from the nozzle. The engineer found that the measured noise spectrum, PSD(f)=: dW where f is frequency and W is acoustic power can be repres- df ented by a piece-wise linear function (Equation1): PSD=0,if f<0; PSD=Af,if0<f<foi PSD=2Af,-Af ,if f.<f<2fo: Equation 1 PSD=0,if f>2fo. Calculate the acoustic power, W in physical pressure units (Pa") corresponding to the jet noise perceived at the same microphone location as a function of A and fo. What is the acoustic power in case A=200 Pa'/ Hz and fo=100 Hz? Provide a clear explanation of every step of your analysis.
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