Sound intensity and distance

In summary, sound intensity is the amount of energy transferred through sound waves per unit of time, measured in decibels (dB) using a sound level meter. As sound waves travel, the intensity decreases with distance due to the same energy being spread over a larger area. The inverse square law of sound intensity states that the intensity decreases proportionally to the square of the distance from the sound source. The medium through which sound travels can also affect its intensity, with denser mediums resulting in higher intensity. Sound intensity is important in protecting our hearing, as prolonged exposure to high intensity sounds can lead to hearing loss.
  • #1
Aoiumi
23
0

Homework Statement



An alarm clock makes a sound that has intensity 60 dB at a distance
of 1 m. What is the sound intensity of 100 such clocks which are all
100m away?
(A) 0.6 dB (B) 40 dB (C) 50 dB (D) 60 dB


Homework Equations



I1/I2 = R2^2/R1^2

The Attempt at a Solution



If it works to make a ratio...

60 dB = 10^-6 W/m^2

10^-6/X = 100^2/1^2

How do the 100 clocks factor into this equation?

Thank you!
 
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  • #2
I think the 100 clocks just increases the intensity by 100x.
 
Last edited:

What is sound intensity and how is it measured?

Sound intensity refers to the amount of energy that is transferred through sound waves per unit of time. It is measured in decibels (dB) and can be measured using a sound level meter.

How does sound intensity change with distance?

As sound waves spread out from their source, the intensity decreases with distance. This is because the same amount of energy is spread over a larger area, resulting in a decrease in sound intensity.

What is the inverse square law of sound intensity?

The inverse square law of sound intensity states that the intensity of sound decreases proportionally to the square of the distance from the sound source. This means that as the distance from the source doubles, the intensity decreases by a factor of four.

How does the medium affect sound intensity?

The medium through which sound travels can affect its intensity. In general, sound travels faster and with less absorption in denser mediums such as solids, thus resulting in a higher intensity compared to traveling through less dense mediums like air or water.

How can sound intensity be used to protect hearing?

Sound intensity is an important factor in determining the potential damage to our hearing. Prolonged exposure to high intensity sounds can lead to hearing loss. By measuring the sound intensity, we can take precautions to protect our hearing, such as wearing earplugs or limiting our exposure to loud noises.

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