How does power relate to intensity?

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SUMMARY

The discussion centers on the relationship between power and intensity using the decibel scale, specifically analyzing a firecracker that emits 1200 W of peak power. Intensity (I) is defined as power per unit area, with the area in question being the surface area of a sphere. The formula I = P/A is confirmed, where A represents the surface area of the sphere, clarifying the calculation of intensity in this context.

PREREQUISITES
  • Understanding of the decibel scale
  • Knowledge of power and intensity concepts
  • Familiarity with the formula I = P/A
  • Basic geometry, specifically surface area of a sphere
NEXT STEPS
  • Research the decibel scale and its applications in sound intensity
  • Study the relationship between power and intensity in various physical contexts
  • Explore calculations involving the surface area of a sphere
  • Learn about practical applications of intensity measurements in acoustics
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Students in physics, acoustics researchers, and anyone interested in understanding the relationship between power and intensity in sound and other physical phenomena.

beanryu
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In this problem you will use the decibel scale to analyze a small firecracker that emits 1200 W of peak power.

How does I(the intensity) relate to 1200 peak power?

THANKYOU!
 
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Intensity is power per unit area.
 
Oh, I think I figured it out, the area is the area of the sphere, not a circle!
Isn't it right?
 
The surface area you mean?
 
P/A where A is the area of a sphere! isn't it?
 

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