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

In summary, the question asks for the amount of sound energy emitted by a source in one hour, given a constant power output and the intensity and distance from the source. The relevant equation is Pmax = sqrt ( uF(w^2)(A^2)), but the surface area of the sphere and the fact that power equals energy over time must also be considered in the calculation.
  • #1
rzlblrt417
9
0

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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  • #2
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...
 

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

1. How is energy output of a wave measured?

The energy output of a wave is typically measured in units of joules (J) or watts (W). This can be done using specialized equipment such as a power meter or by using mathematical calculations based on the wave's amplitude and frequency.

2. What factors affect the energy output of a wave?

The energy output of a wave can be affected by several factors, including the amplitude (height) of the wave, the frequency (number of waves per second), and the medium through which the wave is propagating. Additionally, the environment in which the wave is traveling, such as temperature and pressure, can also impact its energy output.

3. How can the energy output of a wave be calculated over the course of one hour?

The energy output of a wave over the course of one hour can be calculated by first determining the average power of the wave, which is equal to the energy output divided by the time interval (in this case, one hour). This can be done using the formula P = E/t, where P is power in watts, E is energy in joules, and t is time in seconds. Once the average power is determined, it can be multiplied by the total time interval (in this case, 3600 seconds) to find the total energy output over one hour.

4. Can the energy output of a wave change over time?

Yes, the energy output of a wave can change over time. This can be due to several factors, such as changes in the wave's amplitude or frequency, as well as environmental conditions. Additionally, if the wave is propagating through a medium that absorbs or dissipates energy, the energy output may decrease over time.

5. How does the energy output of a wave differ from its power?

The energy output of a wave refers to the total amount of energy that is transferred by the wave over a given period of time. On the other hand, power refers to the rate at which energy is being transferred by the wave. In other words, energy output is a measure of the total amount of energy, while power is a measure of how quickly that energy is being transferred.

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