Question

Find the intensity III of the sound waves produced by four 60-WW speakers as heard by the driver. Assume that the driver is located 1.0 mm from each of the two front speakers and 1.5 mm from each of the two rear speakers.

Answer 1

Given that,

Power = 60 W

Distance = 1.0 m

Distance between speakers = 1.5 m

We need to calculate the intensity

Using formula of intensity

`I_(1)=(P)/(A)`

`I_(1)=(P)/(4\pi r^2)`

Put the value into the formula

`I_(1)=(60)/(4\pi*(1.0)^2)`

`I_(1)=4.77\ W/m^2`

We need to calculate the intensity

Using formula of intensity

`I_(2)=(P)/(A)`

`I_(2)=(P)/(4\pi r^2)`

Put the value into the formula

`I_(1)=(60)/(4\pi*(1.5)^2)`

`I_(1)=2.12\ W/m^2`

We need to calculate the intensity of the sound waves produced by four speakers

Using formula for intensity

`I'=(I_(1)+I_(2))*2`

Put the value into the formula

`I'=(4.77+2.12)*2`

`I'=13.78\ W/m^2`

Hence, The intensity of the sound waves produced by four speakers is 13.78 W/m².