An electric guitar’s amplifier is at a distance
of 4.6 m.
Find the intensity of its sound waves when
its power output is 0.18 W.
Answer in units of W/m2
I= .18/4PI*4.6^2) assuming the sound goes in all directions....which it does not.
3.0
To find the intensity of the sound waves, we can use the formula:
Intensity = Power / Area
First, we need to find the area at a distance of 4.6 m from the amplifier. The area of a sphere at a given distance from the source is given by the formula:
Area = 4πr^2
where r is the distance from the source.
So, let's calculate the area:
Area = 4π(4.6)^2
Area ≈ 265.97 m^2
Now, we can calculate the intensity:
Intensity = Power / Area
Intensity = 0.18 W / 265.97 m^2
Intensity ≈ 0.000678 W/m^2 (rounded to 3 decimal places)
Therefore, the intensity of the sound waves from the electric guitar's amplifier at a distance of 4.6 m is approximately 0.000678 W/m^2.