A single sound source, measured at a particular point, produces a sound pressure level of 40.1 dBSPL. What measurement would we expect at the same point if we had, instead, 21 identical sound sources each producing the same SPL as this one sourc

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A single sound source, measured at a particular point, produces a sound pressure level of 40.1 dBSPL. What measurement would we expect at the same point if we had, instead, 21 identical sound sources each producing the same SPL as this one source?

Adding together uncorrelated sounds produces the sum of their individual intensities.
The decibel is defined as ten times the logarithm of power gain, expressed as power out over power in.
When working with pressures, rather than powers, we add together the squares of all the pressures, and take
the square root of the result to obtain the total pressure. We also use an adapted form of the decibel equation:
Prout
Pr
dB = 20 log
Sound pressure level (dBSPL) is defined by fixing the reference point (Prin) at 20 μPa (2x10-5Pa).
A single sound source, measured at a particular point, produces a sound pressure level of 40.1 dB SPL. What
measurement would we expect at the same point if we had, instead, 21 identical sound sources each producing the
same SPL as this one source?
Transcribed Image Text:Adding together uncorrelated sounds produces the sum of their individual intensities. The decibel is defined as ten times the logarithm of power gain, expressed as power out over power in. When working with pressures, rather than powers, we add together the squares of all the pressures, and take the square root of the result to obtain the total pressure. We also use an adapted form of the decibel equation: Prout Pr dB = 20 log Sound pressure level (dBSPL) is defined by fixing the reference point (Prin) at 20 μPa (2x10-5Pa). A single sound source, measured at a particular point, produces a sound pressure level of 40.1 dB SPL. What measurement would we expect at the same point if we had, instead, 21 identical sound sources each producing the same SPL as this one source?
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