Calculating Decibel Increase to Reach Pain Level

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In summary, to reach a sound intensity level of 120 dB, you would need to increase the intensity by a factor of 1,000. Therefore, it would take approximately 1,000 pig-callers producing a sound at 90 dB to reach the pain level of 120 dB. It is important to know the definition of sound intensity in decibels in order to solve this problem.
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ryty
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Homework Statement


In a pig-calling contest, a caller produces a sound with an intensity level of 90 dB. How many such callers would be required to reach the pain level of 120 dB?


Homework Equations


i don't know


The Attempt at a Solution


The way I understood it from my book, for every multiple of ten increase in decibels, you have to multiply by that number, so i multiplied 1 by 3, to get 3, but that isn't right.
 
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No, for every factor of ten increase in the sound intensity, you add 10 dB.
 
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So how do i find how many callers it takes to go from 90-120dB
 
  • #4
That's why listing the relevant equations is important, rather than just saying "I don't know." What is the *definition* of sound intensity in decibels? That equation is certainly given in your book, and is obviously a piece of information that you need to know before you can begin to answer questions about sound intensities in dB. Post that equation, and tell me if you are able to see, from it, how to proceed. If not, I can provide further hints.
 

FAQ: Calculating Decibel Increase to Reach Pain Level

1. How is the decibel scale used to measure pain level?

The decibel scale is a logarithmic scale that is used to measure the intensity of sound. It is also commonly used to measure the pain level experienced by individuals. The higher the decibel level, the more intense the sound or pain is perceived to be.

2. What is the equation for calculating decibel increase?

The equation for calculating decibel increase is: dB increase = 10 log (I/I0), where I is the current intensity and I0 is the reference intensity. This equation is based on the logarithmic nature of the decibel scale and allows for a more accurate representation of the increase in intensity.

3. How is the reference intensity determined in the decibel scale?

The reference intensity, also known as the threshold of hearing, is the lowest sound level that can be detected by the human ear. It is generally accepted to be 0.00002 Pascals (Pa) in air at a frequency of 1000 Hz. This level is used as a baseline for all decibel measurements.

4. What is the decibel level at which pain is typically felt by humans?

The decibel level at which pain is typically felt by humans varies from person to person. However, it is generally accepted that sustained exposure to sound levels above 85 dB can lead to hearing damage and pain. Short-term exposure to sound levels above 120 dB can also cause pain and even permanent hearing loss.

5. How can I use the decibel scale to determine the appropriate noise level for a safe and comfortable environment?

The Occupational Safety and Health Administration (OSHA) has set standards for safe noise levels in different environments. For example, in an office setting, the recommended noise level is below 70 dB. To determine the appropriate noise level for a specific environment, it is important to consider the duration of exposure and the potential impact on hearing and comfort. Using a decibel meter can help in accurately measuring the noise level and determining if it is within the recommended range.

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