How to find energy output of a wave over the course of one hour.

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SUMMARY

The discussion focuses on calculating the total sound energy emitted by a source over one hour, given an intensity of 0.026 W/m² and a distance of 4.3 meters. The relevant equation provided is Pmax = sqrt(uF(w²)(A²), but participants emphasize the need to first determine the surface area of a sphere at the specified distance to find the total power output. The final step involves using the relationship Power = Energy/Time to convert the power output into energy emitted over one hour.

PREREQUISITES
  • Understanding of sound intensity and its units (W/m²)
  • Knowledge of surface area calculations for a sphere
  • Familiarity with the relationship between power, energy, and time
  • Basic grasp of wave mechanics and relevant equations
NEXT STEPS
  • Calculate the surface area of a sphere using the formula A = 4πr²
  • Determine the total power output using the intensity and surface area
  • Apply the formula Power = Energy/Time to find energy emitted in one hour
  • Explore additional equations related to wave energy and intensity
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and energy calculations, as well as educators seeking to clarify concepts related to sound intensity and energy output.

rzlblrt417
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Homework Statement


given the:
Intensity = .026 W/m^2
Distance = 4.3m

How much sound energy does the source emit in one our if its power output remains constant

Homework Equations



Pmax = sqrt ( uF(w^2)(A^2))

The Attempt at a Solution



I don't even know where to start and that is the only relevant equation that i can think. Any help would be appreciated.
 
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rzlblrt417 said:

Homework Statement


given the:
Intensity = .026 W/m^2
Distance = 4.3m

How much sound energy does the source emit in one our if its power output remains constant

Homework Equations



Pmax = sqrt ( uF(w^2)(A^2))

The Attempt at a Solution



I don't even know where to start and that is the only relevant equation that i can think. Any help would be appreciated.

I'm not able to decipher that equation.

You are given the Power/Area for a sphere of the given radius. What is the surface area of that sphere? What does that give you for the total power being emitted by the source?

Then use the fact that Power = Energy/Time to calculate how much energy per hour will be emitted by the source. Be sure to carry units along in your calculation, because you are going to have to convert between seconds and hours at one point...
 

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