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During takeoff, the sound intensity level of a jet engine is 110 db at a distance of 28 m. What is the sound intensity at 1m?

User Xanco
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Final answer:

To find the sound intensity at 1 m from a jet engine that is 110 dB at 28 m, the inverse square law for sound can be applied, which indicates that intensity increases as distance decreases. The calculation would show a significantly higher intensity at 1 m, exceeding the safe exposure levels.

Step-by-step explanation:

The question addresses the concept of sound intensity levels and how they change with distance from the source of the sound. To calculate the change in sound intensity level when moving from a distance of 28 m (where the intensity level is 110 dB) to 1 m, we can use the inverse square law for sound. This law states that intensity is inversely proportional to the square of the distance from the source. Assuming that there are no reflections or absorption of sound, the intensity level at 1 m can be calculated by knowing that every time the distance is halved, the sound intensity level increases by approximately 6 dB.

The question also touches upon the topic of health-related considerations for sound exposure. It is recommended that 85 dB not be exceeded for 8-hour daily exposures in the absence of hearing protection to prevent hearing damage.

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