Sound intensity level of a jet

[phytitan]

Homework Statement

A jet traveling overhead at an altitude of 5000 feet produces a sound intensity level of 80 dB. What would the figure be for an eight of 1000 feet?

Homework Equations

The Attempt at a Solution

 

[CanIExplore]

If you know the intensity of the sound wave at a certain distance from the source, then you can find the power of the source. Do you remember the equation that relates the power to intensity? This is a good place to start.

 

[phytitan]

I have the intensity of the source and I would calculate the power with the formula P=I*A but I don't have the radius I just have a difference in the two radii. But it's an equation with two unknowns the actual radius and the power.

r₁=x at 5000 feet altitude
r₂=x + 4000 at 1000 feet altitude

how can I calculate the intensity at 1000 feet?

 

[CanIExplore]

So we have the formula for power, P=IA. What is A in this formula? And when you say radius, with respect to what origin are you referring to? Radius is the distance from where to where?

 

[rdl]

The sound intensity level of a jet is dependent on several factors such as the distance from the source, the altitude of the jet, and the power of the jet's engines. As the altitude decreases, the sound intensity level also decreases due to the sound waves being spread out over a larger area. Therefore, at an altitude of 1000 feet, the sound intensity level of the jet would likely be lower than 80 dB. However, without knowing the specific details of the jet and its surroundings, it is difficult to accurately determine the exact sound intensity level at an altitude of 1000 feet. Further analysis and measurements would be needed to make a more precise estimate.