Question

When measured using a microphone connected to a spectrum analyser, the sound pressure level of a noise has a uniform power spectral density of $55.0 \mathrm{~dB} / \mathrm{Hz}$ over the $250 \mathrm{~Hz}$ octave band. (a) What is the $250 \mathrm{~Hz}$ octave band sound pressure level? (b) What is the A-weighted sound pressure level in the $250 \mathrm{~Hz}$ octave band? See Table 2.4 for $\mathrm{A}$-weighting corrections at band centre frequencies. (c) What is the band number of the $400 \mathrm{~Hz} 1 / 3$-octave band?

   When measured using a microphone connected to a spectrum analyser, the sound pressure level of a noise has a uniform power spectral density of $55.0 \mathrm{~dB} / \mathrm{Hz}$ over the $250 \mathrm{~Hz}$ octave band.
(a) What is the $250 \mathrm{~Hz}$ octave band sound pressure level?
(b) What is the A-weighted sound pressure level in the $250 \mathrm{~Hz}$ octave band? See Table 2.4 for $\mathrm{A}$-weighting corrections at band centre frequencies.
(c) What is the band number of the $400 \mathrm{~Hz} 1 / 3$-octave band?
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Noise Control: From Concept to Application
Noise Control: From Concept to Application
Colin H. Hansen,… 2nd Edition
Chapter 1, Problem 2 ↓

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Step 1

The power spectral density (PSD) is given as \( 55.0 \mathrm{~dB} / \mathrm{Hz} \). Since this is a uniform PSD over the $250 \mathrm{~Hz}$ octave band, we can calculate the total power in this band.  Show more…

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When measured using a microphone connected to a spectrum analyser, the sound pressure level of a noise has a uniform power spectral density of $55.0 \mathrm{~dB} / \mathrm{Hz}$ over the $250 \mathrm{~Hz}$ octave band. (a) What is the $250 \mathrm{~Hz}$ octave band sound pressure level? (b) What is the A-weighted sound pressure level in the $250 \mathrm{~Hz}$ octave band? See Table 2.4 for $\mathrm{A}$-weighting corrections at band centre frequencies. (c) What is the band number of the $400 \mathrm{~Hz} 1 / 3$-octave band?
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