What Determines the Point of Minimum Loudness in Speaker Interference?

In summary, Hillary is standing in front of speaker S1 and walking away from it. The first distance at which she will hear minimum loudness can be calculated using the speed of sound and frequency of the sound. The speakers are 2.78 m apart. To understand the significance of the speaker separation in problems, one must consider the concept of interference, specifically destructive interference. In order to have destructive interference, Hillary's distance to S1 must be equal to her distance to S2. This information can be found in a textbook or class lecture notes.
  • #1
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Homework Statement



Hillary stands directly in front of speaker S1 and walks straight away (down on the page) from S1 as shown in the diagram.

What is the first distance (measured from S1) at which she will hear minimum loudness? Speed of sound is 343 m/s and the frequency of the sound is 587 Hz. The speakers are 2.78 m apart

Can someone explain what the significance of the speaker separation is in problems also??

Homework Equations





The Attempt at a Solution



Solved for Wave length = 0.584m, I then figured minimum loudness would be where constructive interference fisrt meets n=+/-1. So what do i do...
 

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  • #2
Noone?, again.. I figured outthe beat question.
 
  • #3
Minimum loudness will correspond to destructive interference, not constructive interference.

Compare Hillary's distance to S1, with Hillary's distance to S2. What must be true about those distances in order to have destructive interference? (Your textbook or class lecture notes should have something to say about this.)
 

1. What is constructive interference?

Constructive interference is a phenomenon that occurs when two or more waves meet and combine to create a larger amplitude. This results in a wave with greater energy and intensity than the individual waves.

2. How does constructive interference differ from destructive interference?

Constructive interference occurs when waves combine to produce a larger amplitude, while destructive interference occurs when waves combine to cancel each other out, resulting in a smaller or no amplitude.

3. What causes constructive interference?

Constructive interference is caused by the superposition of waves. When two or more waves with the same frequency and wavelength meet, their amplitudes add together, resulting in a larger amplitude.

4. What are some real-life examples of constructive interference?

One example of constructive interference is when you hear a louder sound when multiple speakers are playing the same music. This is because the sound waves from each speaker are combining and producing a larger amplitude. Another example is when you see a rainbow, which is created by the constructive interference of light waves.

5. How is constructive interference used in technology?

Constructive interference is used in various technologies, such as noise-cancelling headphones, where sound waves are combined to cancel out unwanted noise. It is also used in medical imaging techniques like ultrasound, where waves are combined to create a clearer image of internal structures. Additionally, lasers and fiber optics also utilize constructive interference to produce a concentrated and powerful beam of light.

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