Calculating Resonance Frequency of Original Metal Pipe

  • Thread starter Thread starter ayrricjones
  • Start date Start date
  • Tags Tags
    Homework
Click For Summary
SUMMARY

The discussion centers on calculating the resonance frequency of an original metal pipe based on the resonance frequencies of its two cut pieces, which are 230 Hz and 436 Hz. To determine the original pipe's resonance frequency, one must first calculate the lengths of the individual pieces using the wavelength formula, λ = v/f, where v is the speed of sound. The speed of sound can be found in reference materials, allowing for the calculation of the original pipe's frequency by summing the lengths of the two pieces.

PREREQUISITES
  • Understanding of resonance frequency concepts
  • Familiarity with the wavelength formula λ = v/f
  • Knowledge of the speed of sound in air
  • Basic algebra skills for manipulating formulas
NEXT STEPS
  • Research the speed of sound in various mediums
  • Learn how to calculate resonance frequencies for different pipe lengths
  • Explore the effects of temperature and pressure on the speed of sound
  • Study advanced acoustics principles related to pipe resonance
USEFUL FOR

Acoustics engineers, physics students, and anyone interested in the principles of sound resonance in cylindrical structures.

ayrricjones
Messages
1
Reaction score
0
Q: When a metal pipe is cut into two pieces, the lowest resonance frequency for one piece is 230 Hz and the other is 436 Hz.(a) what resonant frequency would have been produced by the original length of pipe?

From what I have so far:

1) the length of the two original pipes added together would give me the resonant frequency

2) the length of each pipe can be found by dividing the lamda for frequency for each pipe by two

3) Lamda can be found by the formula "v=(lamda)f," unfortunately I do not know the "v." What set of formula's or algebra can I use to find "v" ?

Thx ahead of time.
 
Physics news on Phys.org
ayrricjones said:
3) Lamda can be found by the formula "v=(lamda)f," unfortunately I do not know the "v." What set of formula's or algebra can I use to find "v" ?

It's the speed of sound, so you would just look it up.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
Replies
4
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
9
Views
18K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K