How Do Pressure and Standing Waves Change with Distance and Interaction?

  • Thread starter Thread starter physics_06er
  • Start date Start date
  • Tags Tags
    Waves
Click For Summary
SUMMARY

The discussion centers on the behavior of pressure and displacement in a Helmholtz resonator with a resonant frequency of 100 Hz, particularly how these parameters change with distance from the source. It is established that a partial standing wave forms within the resonator, as some sound energy escapes to propagate towards a listener. Additionally, the formation of standing waves from traveling waves is explained through the interaction of waves moving in opposite directions, with the relationship between wave speed, tension, and linear mass density on a stretched string highlighted as critical for understanding wave dynamics.

PREREQUISITES
  • Understanding of Helmholtz resonators and their resonant frequencies
  • Knowledge of wave mechanics, specifically traveling and standing waves
  • Familiarity with wave equations and their applications
  • Concepts of tension and linear mass density in string dynamics
NEXT STEPS
  • Study the mathematical representation of standing waves and their formation from traveling waves
  • Explore the relationship between wave speed, tension, and linear mass density in strings
  • Investigate the effects of distance on sound wave propagation and pressure variations
  • Learn to graphically represent wave functions for both pressure and displacement over time
USEFUL FOR

Students and educators in physics, particularly those focusing on wave mechanics, acoustics, and sound propagation. This discussion is also beneficial for anyone involved in experimental physics or engineering applications related to wave behavior.

physics_06er
Messages
25
Reaction score
0
Hi there

Could someone please help with these questions.

A helmholtz resonator has a resonant freq. of 100Hz. draw graphs showing how the pressure and displacement of the air in the neck vary with time. how would these be different at the position of a listener some distance away...

i can draw the graphs but I'm unsure of the part about the listener being some distance away...??

and the 2nd one is ...explain how a standing wave can be formed by traveling waves, and hence how the frequencies of standing waves on a stretched string are related to the speed at which waves travel along the string?

all i know is that waves would be traveling in opposite directions..canceliing out..? is this even right?...any help much appreciaited

Thanks
physics_06er
 
Physics news on Phys.org
-1- The resonator will have a partial standing wave in it (partial because some of the sound energy has to get out the open end to propagate to the listener.

-2- What is the equation for a traveling wave? What do you get if you combine a left-travelling wave and a right-travelling wave? Also, what is the relationship between the velocity of propagation of a wave on a string, in comparison to the tension of the string and the linear mass density of the string?
 

Similar threads

Wave equation, wavelenght not given
  • · Replies 6 ·
Replies
6
Views
2K
Describing how to make a standing wave?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Where are the pressure nodes on a standing acoustic wave in water?
  • · Replies 7 ·
Replies
7
Views
2K
How Does Pressure Vary in an Open Tube?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Mechanism of Energy Conservation in Zero-Amplitude Sum of EM Waveforms
  • · Replies 21 ·
Replies
21
Views
3K
How do I draw a displacement-distance graph for waves?
  • · Replies 3 ·
Replies
3
Views
2K
String Wave Velocity and Tension
  • · Replies 7 ·
Replies
7
Views
5K
Understanding Standing Wave Loops: Solving a 60 Hz Frequency Question
  • · Replies 6 ·
Replies
6
Views
3K
How Are Sound Waves and Frequencies Affected in Musical Instruments and Rooms?
  • · Replies 5 ·
Replies
5
Views
3K
How Do Harmonic Waves Create Standing Waves and Affect String Vibrations?
  • · Replies 2 ·
Replies
2
Views
3K