A student is standing 8 m from a roaring truck engine that is measured at 20. The student moves 4 m closer to the engine. What i

Question

erica [24]

3 years ago

15

A student is standing 8 m from a roaring truck engine that is measured at 20. The student moves 4 m closer to the engine. What i

s the measured sound intensity at the new distance?.

Physics

2 answers:

dangina [55] · Answer 1 · 2022-12-08T16:12:41+03:00

By knowing how intensity relates to distance, we will see that at 4 meters of the engine the intensity is 80.

<h3>How sound intensity relates to distance?</h3>

The sound spreads in a solid angle like all waves, so the intensity of the sound will decrease with the distance squared, this means that:

$I = \frac{P}{4*pi*r^2}$

Where P is the sound power, we know that when the student is at 8m from the engine, the intensity measured is 20 (it does not tell the units) so we have:

$20 = \frac{P}{4*3.14*(8m)^2} \\\\P = 20*4*3.14*(8m)^2 = 16,078.8 m^2$