:eek: standing waves where to begin

Click For Summary

Homework Help Overview

The problem involves two loudspeakers producing identical tones and a listener walking between them, experiencing a change in loudness at a specific frequency. The context is related to sound waves, beats, and potentially the Doppler effect.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the concept of beat frequency and its relation to the problem. There are mentions of relevant equations, including those related to wave speed and frequency. Some participants express uncertainty about how to apply these equations to find the walking speed.

Discussion Status

Some guidance has been offered regarding the use of the Doppler effect to analyze the situation. Participants are exploring different interpretations of the problem and attempting to verify their calculations, but no consensus has been reached on the correct approach or solution.

Contextual Notes

There is a time constraint mentioned, with one participant noting that their assignment is due soon, which may influence the urgency of the discussion. Additionally, participants are at the beginning stages of learning about beats and standing waves.

mayo2kett
Messages
23
Reaction score
0
Two loudspeakers face each other, vibrate in phase, and produce identical 438-Hz tones. A listener walks from one speaker toward the other at a constant speed and hears the loudness change (loud-soft-loud) at a frequency of 3.3 Hz. The speed of sound is 343 m/s. What is the walking speed?
 
Physics news on Phys.org
Have you studied beats yet?

cookiemonster
 
beat frequency

we are just starting beats now but my homework assignment is due sunday night, which is the day before the lecture on standing waves and beats...so far I've been reading and understand that 3.3Hz are the beats per second which is the beat frequency... and i probably need to use the equations f1=v/2L and v = lamda f to calculate something but I'm just not sure where to put everything...
 
mayo2kett said:
Two loudspeakers face each other, vibrate in phase, and produce identical 438-Hz tones. A listener walks from one speaker toward the other at a constant speed and hears the loudness change (loud-soft-loud) at a frequency of 3.3 Hz. The speed of sound is 343 m/s. What is the walking speed?
Use doppler shift. The frequency is frame dependent. The difference in the observed frequencies of the two speakers will be the beat frequency. The frequency of the speaker towards which the person is moving will have an observed increase, and the other will have an observed decrease, from the nominal 438 Hz.
 
Last edited:
any help would me much appreciated... the assignment is due tonight
thanks :)
 
i think i got the answer using the equation f' = ((v + vo)/(v- vs))*f which is the same as the equation f'=(1+u/v)f since in my case the source isn't moving... i was wondering if someone could check this for me to see if i was right... i have 3.3Hz=(1+u/(343m/s))438Hz which when i multiply it out gives me 340.4m/s for the walking speed...
 

Similar threads

Replies
20
Views
6K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 19 ·
Replies
19
Views
5K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 27 ·
Replies
27
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K