What Is the Decibel Level After Removing 69 Pigs?

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In summary, to find the decibel level of the remaining pigs after 69 have been removed from a pig pen with 176 pigs, we can use the formula B=10Log(Is/Io) where Is is the intensity of the original number of pigs and Io is the intensity of the remaining pigs. Using this formula, we find that the decibel level of the remaining pigs is approximately 70.8 dB.
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Homework Statement



The noise level coming from a pig pen with 176 pigs is 73 dB. Assuming each of the remaining pigs squeal at their original level after 69 of their companions have been removed, what is the decibel level of the remaining pigs?
Answer in units of dB.

Homework Equations



I= P/A
B=10dbLog(Is/Io)

The Attempt at a Solution



I was thinking that the ratio of the intensities would be equal to the change in the number of pigs.

73dB - x = 10Log(69)

I found that x= 54.61150909db.
However this was wrong.
I did a similar problem to this regarding people were a single person can speak at 65dB. The question asked how many people does it take to reach 78dB. In that particular problem the ratio was equal to the number of people. I think this was the case because we had a base value for what a single person could produce. In the problem with the pigs there isn't necessarily a based value for dB. Where am I going wrong in my approach? I spelled decibels wrong in the title, my bad.
 
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SOLVED

I realized what I was doing wrong. The logarithmic is defining two intensities that are comparing values. The reason that the comparison was equal to the number of people was because that it was 20people to 1 person. In the case of the pigs the comparison is not equal to 69, rather it is equal to 176/107.This is how it looks

73 -x = 10Log(176/107)

x=70.8387111dB
 

FAQ: What Is the Decibel Level After Removing 69 Pigs?

What is the purpose of measuring the change in decibels of a pig pen?

The change in decibels of a pig pen is measured to monitor the noise level in the pig pen. This is important for the well-being of the pigs, as excessively loud noises can cause stress and negatively impact their health. It is also important for the surrounding environment and nearby residents.

How is the change in decibels of a pig pen measured?

The change in decibels is measured using a sound level meter. This device measures the sound pressure level in decibels (dB). The meter is placed at different locations within the pig pen to get an accurate reading of the noise level.

What factors can affect the change in decibels of a pig pen?

There are several factors that can affect the change in decibels of a pig pen, including the number of pigs in the pen, the type of flooring, the size and layout of the pen, and the type of ventilation system. Other external factors such as weather conditions and nearby noise sources can also impact the decibel levels.

What is considered a safe decibel level for a pig pen?

The safe decibel level for a pig pen is generally below 85 dB. This is the recommended limit to prevent potential hearing damage and stress to the pigs. However, it is important to also consider the duration of exposure to the noise, as prolonged exposure to lower decibel levels can still have negative effects.

How can the change in decibels of a pig pen be reduced?

There are several ways to reduce the change in decibels of a pig pen, such as using sound-absorbing materials in the pen, installing noise barriers, and implementing proper ventilation systems. It is also important to regularly monitor and maintain the equipment and machinery in the pig pen to ensure they are not producing excessive noise. Proper management practices, such as minimizing sudden loud noises and avoiding overcrowding, can also help reduce decibel levels in the pig pen.

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