In a factory, three machines produce noise with intensity levels of 85 dB, 90 dB, and 93 dB. When all three are running, what is the intensity level?
Intensity of sound I=I010β10dβ\Iota= \Iota_010^{\frac{\beta}{10d\beta}}I=I01010dββ
Itotal=I1+I2+I3\Iota_{total} = \Iota_1 + \Iota_2+ \Iota_3Itotal=I1+I2+I3
βtotal=10dβlog10\beta_{total}= 10d\beta\log_{10}βtotal=10dβlog10(ItotalI0)({\frac{I_{total}}{I_{0}}})(I0Itotal)
βtotal=\beta_{total}=βtotal= 10dβlog1010d\beta\log_{10}10dβlog10 (1085dB10+1090dB10+1093dB10)(10^{\frac{85dB}{10}} + 10^{\frac{90dB}{10}} +10^{\frac{93dB}{10}})(101085dB+101090dB+101093dB)
βtotal=95.2dB\beta_{total}= 95.2dBβtotal=95.2dB
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