Question

A jet plane at take-off can produce sound of intensity 9.30 W/m2 at 30.4 m away. But you prefer the tranquil sound of normal conversation, which is 1.0 μW/m2. Assume that the plane behaves like a point source of sound.

What intensity from the jet does your friend experience if she lives twice as far from the runway as you do?

Answer 1

The intensity experienced by the friend who lives twice as far from the runway as you do is 2.325 W/m².

Step-by-step explanation:

To find the intensity experienced by your friend, we can use the inverse square law.

According to the inverse square law, the intensity of sound is inversely proportional to the square of the distance from the source.

Since your friend lives twice as far from the runway as you do, the distance from the runway to your friend is 2 * 30.4 m = 60.8 m.

Using the inverse square law, the intensity experienced by your friend can be calculated as follows:

Intensity at your friend = Intensity at your location * (Distance at your location / Distance at your friend location)²

Plugging in the values:
Intensity at your friend = 9.30 W/m² * (30.4 m / 60.8 m)²
Intensity at your friend = 9.30 W/m² * (0.5)²
Intensity at your friend = 9.30 W/m² * 0.25
Intensity at your friend = 2.325 W/m²

Therefore, your friend would experience an intensity of 2.325 W/m² from the jet plane.