How Is Sound Intensity Calculated at a Distance?

In summary, a sound wave is a type of mechanical wave that travels through a medium by causing particles to vibrate. It can travel at varying speeds depending on the medium and its frequency affects its pitch. Amplitude and intensity are both measures of its energy, but they differ in their units of measurement.
  • #1
tasha_michelle
15
0
sound wave of a source??

Homework Statement


A sound wave radiates from a source to all directions, if the power of the sound is 200 watts then the intensity of the sound wave 100m from the source is what?


Homework Equations


is this question complete / incomplet? is it missing any information that I need to solve the problem. what equation do i use?


The Attempt at a Solution



i tried B (200)log of 10 =(100m)log I/Io ?
 
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  • #2
Imagine a sphere of radius 100m, how big is its area? How is power related to intensity?
 
  • #3


I would first clarify the question by asking for more information. It appears that the question is asking for the intensity of the sound wave at a distance of 100m from the source, given that the power of the sound is 200 watts. However, there are several variables missing that are necessary to solve this problem, such as the frequency of the sound wave and the characteristics of the medium through which the sound is traveling. Without this information, it is not possible to accurately determine the intensity of the sound wave at a specific distance from the source.

In terms of equations, the intensity of a sound wave is typically calculated using the equation I = P/A, where I is the intensity in watts per square meter, P is the power in watts, and A is the surface area through which the sound wave is passing. However, without knowing the frequency and medium, it is not possible to determine the surface area or the intensity.

In summary, the question as it is currently written is incomplete and missing key information. I would ask for more details in order to accurately solve the problem.
 

What is a sound wave?

A sound wave is a type of mechanical wave that travels through a medium, such as air or water. It is created by the vibration of a source, such as a speaker or vocal cords, and travels outward in all directions.

How does a sound wave travel?

A sound wave travels through a medium by causing the particles of the medium to vibrate. These vibrations create a series of compressions and rarefactions, which are areas of high and low pressure. The sound wave continues to travel until it reaches a surface or is absorbed by the medium.

What is the speed of sound?

The speed of sound varies depending on the medium through which it is traveling. In dry air at room temperature, sound travels at approximately 343 meters per second. However, it can travel faster or slower in different mediums, such as water or solid objects.

How does the frequency of a sound wave affect its pitch?

The frequency of a sound wave is directly related to its pitch. The higher the frequency, the higher the pitch. This is because higher frequencies result in more frequent compressions and rarefactions, which are perceived as a higher pitch by our ears.

What is the difference between amplitude and intensity in a sound wave?

Amplitude and intensity are both measures of the energy of a sound wave, but they are not the same thing. Amplitude refers to the height of the wave, while intensity refers to the amount of energy that the wave carries. Amplitude is measured in decibels (dB), while intensity is measured in watts per square meter (W/m^2).

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