Ear Damage from a Small Firecracker

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In summary, the conversation discusses the calculation of peak intensity in decibels for a small firecracker emitting 1200 units of peak power at a distance of 1 meter. The formula B = 10log(I/Io) is used, where I represents the power per unit area and Io is a reference value of 10^-12 W/m^2. However, the calculation may be incorrect due to the incorrect definition of area for sound waves, which travel in three dimensional space and have a spherical wave front.
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hotmail590
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Lets say there is a small firecracker that emits 1200 of peak power.
What is the peak intensity B in decibels at a distance of 1 m from the firecracker?


This is what i have tried:

B = 10log(I/Io)

I = 1200/pi Since I = power/area and the area is pir^2, pi(1m)^2

Io=( 10^-12 W/m^2)


So B= 10log([1200/pi] / [10^-12 ]) and i get around 135.83 , however the answer is incorrect


Can someone help please? THank you
 
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  • #2
Check the way you defined area for waves that propagate in space.
 
  • #3
So the area is not a circle?
 
  • #4
No, sound waves are spherical waves and travel in three dimensional space.
 

FAQ: Ear Damage from a Small Firecracker

What are the common causes of ear damage from a small firecracker?

The most common cause of ear damage from a small firecracker is the loud and sudden explosion of the firecracker. The sound waves from the explosion can cause damage to the delicate structures of the ear, including the eardrum and the tiny hair cells in the inner ear.

What are the symptoms of ear damage from a small firecracker?

Symptoms of ear damage from a small firecracker may include ringing or buzzing in the ears, muffled hearing, pain or discomfort in the ears, and dizziness or vertigo. In severe cases, there may also be bleeding from the ear.

Can ear damage from a small firecracker be permanent?

In some cases, ear damage from a small firecracker can be permanent. This is especially true if the explosion was very close to the ear or if there was a direct impact on the ear. It is important to seek medical attention if you experience any symptoms of ear damage.

How can ear damage from a small firecracker be prevented?

The best way to prevent ear damage from a small firecracker is to avoid using them altogether. If you do choose to use them, be sure to follow all safety precautions and wear ear protection. It is also important to never hold a firecracker near your ear or direct it towards anyone's face.

What should I do if I suspect I have ear damage from a small firecracker?

If you suspect you have ear damage from a small firecracker, seek medical attention immediately. A doctor can perform a thorough examination and provide treatment as needed. It is important to address any ear damage promptly to prevent further complications.

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