Relating resonance with two different Pipes

  • Thread starter Thread starter RoxSox2004
  • Start date Start date
  • Tags Tags
    Pipes Resonance
AI Thread Summary
The discussion revolves around finding the length of pipe A, which is open at one end, so that its third lowest resonant frequency matches the lowest resonant frequency of pipe B, which is open at both ends. The relevant equations involve the speed of sound, wavelength, and frequency, specifically using the formulas for the harmonics of each pipe type. The user expresses confusion about setting up the problem correctly and seeks guidance on how to equate the frequencies. Clarifying the relationship between the harmonics of both pipes is crucial for solving the problem. Understanding the fundamental frequency differences between open and closed pipes will aid in finding the solution.
RoxSox2004
Messages
2
Reaction score
0

Homework Statement



A pipe, open at one end, has a leng
produces pipe A, open at one end, and pipe B, o

A pipe, open at one end, has a length L. Cutting this pipe crosswise
produces pipe A, open at one end, and pipe B, open at both ends.
a. For what length of pipe A will the third lowest resonant frequency of pipe A be equal
to the lowest resonant frequency of pipe B?


Homework Equations



v = (lambda)(f)

5th harmonic of A, f = (5v)/(4L)
1st Harmonic of B, f = v/2L

The Attempt at a Solution



I've been fairly stumped by this one. I don't get exactly how to set it up. I tried setting the frequencies equal to each other, but it doesn't work.
 
Physics news on Phys.org
I'm really just looking for a hint to set me on the right path.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Are the 2nd and 3rd problems in this video correctly solved? (charged dipole and organ pipe problems)
Replies
3
Views
969
Waves in a closed organ pipe (homework check)
Replies
3
Views
3K
Why Does Covering One End of a Pipe Change the Pitch of the Sound Produced?
Replies
3
Views
2K
How does water affect resonance in organ pipes?
Replies
10
Views
2K
Speed of Sound in Air & Resonance in a Pipe
Replies
3
Views
3K
Resonant Lengths in open air column question
Replies
6
Views
3K
I Need to Calculate the Speed of Sound for a Lab
Replies
4
Views
2K
Musical resonance of a cylinder/tube with a hole in the center
Replies
4
Views
2K
Tuning fork standing wave in a water pipe
Replies
2
Views
5K
Is a resonant frequency any of the harmonics?
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top