Question

At a particular location in your house, three appliances make sound intensity levels of 73.2 dB, 76.1 dB, and 69.2 dB individually. What is the sound intensity level at that location when they are all running at the same time?

Answer 1

Sound intensity level of the first appliance = ₁ = 73.2 dB

Sound intensity of the first appliance = I₁

I₁ = 2.089 x 10^-5 W/m²

Sound intensity level of the second appliance = ₂ = 76.1 dB

Sound intensity of the second appliance = I₂

I₂ = 4.074 x 10^-5 W/m²

Sound intensity level of the third appliance = ₃ = 69.2 dB

Sound intensity of the third appliance = I₃

I₃ = 0.832 x 10^-5 W/m²

Sound intensity when all three appliances are running at the same time = I

I = I₁ + I₂ + I₃

I = 2.089x10^-5 + 4.074x10^-5 + 0.832x10^-5

I = 6.995 x 10^-5 W/m²

Sound intensity level when all three appliances are running at the same time =

= 78.4 dB

Sound intensity level at the location when all 3 appliances are running at the same time = 78.4 dB