You are on the design team for a new airport. The developer wants to build a hotel
Question:
You are on the design team for a new airport. The developer wants to build a hotel as close to the airport as possible. The intensity level of a large jet during takeoff is \(140 \mathrm{~dB}\) at \(50 \mathrm{~m}\) from the jet. The developer wants to build the hotel such that the intensity level heard by guests is not higher than \(50 \mathrm{~dB}\) inside the hotel rooms and not higher than \(125 \mathrm{~dB}\) in the parking lot of the hotel.
(a) How far from the airport would you suggest the developer build the hotel?
(b) What is the maximum allowable intensity \(I\) of the sound in the hotel rooms?
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Step by Step Answer:
Lets address each part of the problem a To determine how far from the airport the developer should build the hotel to meet the desired intensity levels we can use the inverse square law for sound intensity The inverse square law states that the intensity of sound decreases with the square of the distance from the source Mathematically it can be expressed as I fracP4 pi r2 Where I is the intensity of the sound P is the power output of the source r is the distance from the source pi is the mathematical constant pi Given that the intensity level ...View the full answer
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