The Impact of Sound Intensity on Sound Levels

Understanding Sound Levels and Intensities

When dealing with sound levels, it is important to consider the intensity of the sound being produced. Sound intensity is measured in decibels (dB) and plays a crucial role in determining the overall sound level at a given location.

If two firecrackers produce a sound level of 86 dB when fired simultaneously at a certain place, what will be the sound level if only one is exploded?

The sound level of 86 dB when fired simultaneously will have a sound level of 82.9898 dB.

Theory Behind Sound Intensity

According to the Beta factor model, the common cause will have an equal impact on every member of a component group that shares a common cause. The beta factor model is simple to use, models common cause failures, and only requires one parameter to be determined.

A drawback of the beta factor model is that it is impossible to quantify the failure of k–m components within a common cause component group. As a result of multiplying the partial beta factors, the beta factor is calculated.

Mathematics Behind Sound Intensity

Formula:
β = 10log(2I/i)
β1 = 10log(I/i)
β = 10log2 + β1
β1 = β - 10log2

Calculation:

β1 = 86 - 10log2
β1 = 86 - 3.0102
β1 = 82.9898 dB

If two firecrackers produce a sound level of 86 dB when fired simultaneously at a certain place, what will be the sound level if only one is exploded?

The sound level of 86 dB when fired simultaneously will have a sound level of 82.9898 dB.