BEST ANSWER GETS BRAINLIEST!

At what distance from a 70.0 Watt speaker is the intensity 0.0195 W/m^2

(Treat the speaker as point of the source)

(Unit=meters)

PLEASE HELP ME!

BEST ANSWER GETS BRAINLIEST!

At what distance from a 70.0 Watt speaker is the intensity 0.0195 W/m^2

(Treat the speaker as point of the source)

(Unit=meters)

PLEASE HELP ME!

Answer:

Distance = 16.9 m

Explanation:

We are given;

Power; P = 70 W

Intensity; I = 0.0195 W/m²

Now, for a spherical sound wave, the intensity in the radial direction is expressed as a function of distance r from the center of the sphere and is given by the expression;

I = Power/Unit area = P/(4πr²)

where;

P is the sound power

r is the distance.

Thus;

Making r the subject, we have;

r² = P/4πI

r = √(P/4πI)

r = √(70/(4π*0.0195))

r = √285.6627

r = 16.9 m