Understanding Sound Interference

Click For Summary
SUMMARY

The discussion centers on sound interference, specifically the mathematical representation of combined amplitude using the formula A=2Acos(πd sin(θ)/λ). The user initially struggled to plot the amplitude graph correctly due to confusion between radians and degrees in trigonometric functions. After resolving this issue, the user successfully aligned their graph with theoretical predictions, confirming the conditions for constructive and destructive interference at d sin(θ)=nλ and d sin(θ)=(n+1/2)λ.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine and cosine.
  • Familiarity with the concepts of sound waves and interference patterns.
  • Knowledge of radians and degrees in mathematical contexts.
  • Basic graphing skills to visualize amplitude functions.
NEXT STEPS
  • Explore the principles of wave interference in greater detail.
  • Learn about the effects of varying sound frequencies on interference patterns.
  • Investigate the use of software tools for simulating sound wave interactions.
  • Study the mathematical derivation of interference conditions in acoustics.
USEFUL FOR

Students and professionals in physics, acoustics researchers, and anyone interested in the mathematical modeling of sound wave behavior.

team31
Messages
10
Reaction score
0
I'm having trouble with the interference of sound. As the given function of the combined Amplidude A=2Acos(PI*d*sin(θ)/λ), hence the interfernce max will be d*sin(θ)=n*λ, and min will be d*sin(θ)=(n+1/2)*λ. I chose my sound frequency and wavelength. so I figule out the nth max and nth min, but when i tried to plot the graph of the combined Amplidude function, it's amplitude value is not going up and down as the angle increase(which I through it would becasue the max and min) but just simply decrease from 0 to about 90 degree then it increase back up. so How do we know if it's a max or min, since it's all decreasing in a steady rate?
 
Physics news on Phys.org
I am not recognizing what you are doing here. What is the arrangement of the sound sources that are interfering?
 
Nevermind, I was finally figure out that cos is in radians and sin was in degree. Now my graph matches with my predictions. Thanks anyway
 

Similar threads

Replies
20
Views
5K
  • · Replies 6 ·
Replies
6
Views
8K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 11 ·
Replies
11
Views
4K