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Determine equivalent noise level for the following noise level measurements in a shopping mall
Time in hrs Sound level (DBA)
5:00 - 7:00 43
7:00 - 9:00 56
9:00 - 11:00 64
11:00 - 13:00 70
13:00 - 15:00 69
15:00 - 17:00 55

1 Answer
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To determine the equivalent noise level, the following formula is used

dB = 20×log10×PPo

For 43 dB :-

43 = 20×log10×P1Po

43 = 2×10×log10×P1Po = 10×log10×(P1Po)2

4.3 = log10×(P1P0)2

104.3=(P1P0)2

For 56 dB :-

56 = 20log10×P2Po

56 = 2×10×log10×P2Po

5.6 = 2log10(P2P0)

105.6=(P2P0)2

For 64 dB :-

64 = 20log10×P3Po

64 = 2×10×log10×P3Po

6.4 = 2log10(P3P0)

106.4=(P3P0)2

For 70 dB :-

70 = 20log10×P4Po

70 = 2×10×log10×P4Po

7 = 2log10(P4P0)

107=(P4P0)2

For 69 dB :-

69 = 20log10×P5Po

69 = 2×10×log10×P5Po

6.9 = 2log10(P5P0)

106.9=(P5P0)2

For 55 dB :-

55 = 20log10×P6Po

55 = 2×10×log10×P6Po

5.5 = 2log10(P6P0)

105.5=(P6P0)2

PP0=[(P1P0)2+(P2P0)2+(P3P0)2+(P4P0)2+(P5P0)2+(P6P0)2]1/2

= [104.3+105.6+106.4+107+106.9+105.5]1/2

= 20 X 3.66

=> Equivalent noise level = 73.2 dB.

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