Question about resonating in a closed tube.

  • Thread starter Thread starter yokialana
  • Start date Start date
  • Tags Tags
    Closed Tube
Click For Summary
SUMMARY

The discussion focuses on calculating the speed of sound in a closed tube resonating at 440 Hz with lengths of 0.195 m and 0.586 m. The relevant equations include the wavelength formula, which states that wavelength equals four times the length of the tube (wavelength = 4L), and the speed of sound formula (v = f × wavelength). By applying these equations to the two given lengths, users can derive simultaneous equations to determine the speed of sound definitively.

PREREQUISITES
  • Understanding of wave properties, specifically wavelength and frequency
  • Familiarity with the speed of sound formula (v = f × wavelength)
  • Knowledge of resonance in closed tubes
  • Ability to solve simultaneous equations
NEXT STEPS
  • Calculate the speed of sound using the lengths provided and the frequency
  • Explore the concept of harmonics in closed tubes
  • Investigate the effects of temperature on the speed of sound
  • Learn about the relationship between tube length and resonant frequencies
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and sound properties, as well as educators looking for practical examples of resonance in closed tubes.

yokialana
Messages
5
Reaction score
0

Homework Statement


A closed tube resonates at 440 Hz when it is 0.195 m long and 0.586 m long. Determine the speed of sound. How do I do this?

Homework Equations



wavelength=4L
v=fw

The Attempt at a Solution


v= 440 (4L) I'm just not sure how to use both lengths given, can someone help me out?
 
Physics news on Phys.org
You do not know that wavelength = 4L.
The wavelength can be 2(L/1), 2(L/2), 2(L/3), 2(L/4), 2(L/5)...etc
You also know that v = f x wavelength. And v does not change
The values you have been given should enable you to write down 2 simultaneous equations from which you can get the answer.
 
Last edited:

Similar threads

Replies
3
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K