Question

one hot water pump has a noise rating of 50 decibels one diswasher however has a noise rating of 62 decibels the dishwasher noise is how times more intense than that water pump noise​

Answer 1

Given : One hot water pump has a noise rating of 50 decibels

one dishwasher however has a noise rating of 62 decibels

To Find : the dishwasher noise is how times more intense than that water pump noise​

Solution:

db = 10 log(I/I₀)

I₀ = 10⁻¹² W/m2

I = intensity

db - decibel level

Iₐ =  Intensity of  hot water pump

Iₓ =  Intensity of Dishwasher

50  = 10 log ( Iₐ/I₀)  => 5 = log ( Iₐ/I₀)  => Iₐ/I₀ = 10⁵

62  = 10 log ( Iₓ/I₀)      => 6.2 = log ( Iₓ/I₀)  =>   Iₓ/I₀ = 10⁶.²

Iₓ = 15.85 Iₐ

dishwasher noise is 15.85 times more intense than that water pump noise​

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