Sound Problem involving a path difference

In summary, a path difference in sound refers to the difference in distance traveled by a sound wave from its source to two different points, which can result in changes in loudness, direction, and quality of the sound. Factors such as distance, frequency, and obstacles can influence the path difference, and it can be measured using techniques like TDOA and sound level meters. Understanding path difference in sound has various real-life applications in fields such as acoustics, engineering, and music.
  • #1
Matt1234
142
0
Attached is the problem and solution for part B, can someone please explain how they obtain the equation for part B, i don't see why they take the root.

Thank you.

Homework Statement


[PLAIN]http://img153.imageshack.us/img153/8149/97578282.jpg
 
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  • #2
no longer required sorry.

note for those who ever use this thread: d= sqrt ((x2-x1)^2 + (y2-y1)^2)
 

Related to Sound Problem involving a path difference

1. What is a path difference in sound?

A path difference in sound refers to the difference in distance traveled by a sound wave from its source to two different points. This can result in a difference in the arrival time and magnitude of the sound at these two points.

2. How does a path difference affect sound?

A path difference can affect sound in various ways. It can cause interference, where the sound waves either amplify or cancel each other out, resulting in changes in loudness and quality of the sound. It can also affect the direction of the sound, making it seem like it is coming from a different location than the actual source.

3. What factors can influence the path difference in sound?

The path difference in sound can be influenced by several factors such as the distance between the source and the two points, the frequency of the sound wave, and the medium through which the sound is traveling. The presence of obstacles or barriers can also affect the path difference.

4. How can we measure the path difference in sound?

The path difference in sound can be measured by using a technique called time difference of arrival (TDOA) where the arrival time of the sound at two different points is recorded and then the difference is calculated. Another method is to use a sound level meter to measure the sound intensity at different points and compare the values.

5. What are some real-life applications of understanding path difference in sound?

Understanding path difference in sound is crucial in various fields such as acoustics, engineering, and music. It is used in designing sound systems for concerts and events, noise control in buildings, and navigation systems that rely on sound signals. It is also essential in understanding the behavior of sound in different environments, such as underwater or in open spaces.

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