Harmonic Tube Question

In summary, a harmonic tube is a hollow cylindrical object used in scientific experiments to study sound waves and their properties. It works by allowing sound waves to travel through it and creating standing waves. Its purpose is to study frequency, wavelength, and harmonics, as well as demonstrate concepts like resonance and the Doppler effect. A harmonic tube is different from a regular tube in that it is specifically designed for scientific experiments and is typically made of materials that allow sound to travel through it easily. It can also be used to study other types of waves, such as water or light waves, with some variations in design and materials.
  • #1
ledzeppelinpa
4
0
1. Dan is practicing on his church organ and he finds that the next two harmonics of the 370 Hz Pipe are 1110 Hz and 1850 Hz. Is the pipe closed at one end, or open at both ends? Show all work.



2. i don't know where to go :(


3. none
 
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  • #2
Hi ledzeppelinpa,

What are the possible values of resonant frequencies for a pipe closed at one end? What are the possible values for a pipe at both ends? Which of those two formulas matches the three values you're given?
 
  • #3


Dear Dan,

Thank you for your question regarding the harmonics of your church organ's pipe. Based on the information you provided, it seems that the pipe is open at both ends. This can be determined by using the formula for calculating the harmonics of an open pipe, which is n*f = (2n-1)*v/4L, where n is the harmonic number, f is the fundamental frequency, v is the speed of sound, and L is the length of the pipe.

In this case, the fundamental frequency (f) is 370 Hz and the first harmonic (n=1) is 1110 Hz. Plugging these values into the formula, we get:

1*370 Hz = (2*1-1)*v/4L
370 Hz = v/4L

Similarly, for the second harmonic (n=2), we have:

2*370 Hz = (2*2-1)*v/4L
740 Hz = 3v/4L

Now, we can solve for the speed of sound (v) and the length of the pipe (L) by setting the two equations equal to each other:

v/4L = 370 Hz = 740 Hz = 3v/4L

Solving for v, we get v = 1480 m/s. And substituting this value into the first equation, we can solve for L:

370 Hz = 1480 m/s / 4L
L = 0.25 m = 25 cm

Since the length of the pipe is 25 cm, which is approximately one quarter of the wavelength of the first harmonic, it indicates that the pipe is open at both ends. If the pipe was closed at one end, the length would be approximately one quarter of the wavelength of the second harmonic, which is 12.5 cm.

I hope this explanation helps and please let me know if you have any further questions. Keep practicing and have a great day!

Best regards,
 

1. What is a harmonic tube?

A harmonic tube is a hollow cylindrical object that is used in scientific experiments to study the properties of sound waves and harmonics. It is often made of a material that allows sound to travel through it, such as metal or plastic.

2. How does a harmonic tube work?

A harmonic tube works by allowing sound waves to travel through it and be reflected off of its walls. This creates standing waves within the tube, which can be used to study the individual harmonics and frequencies of the sound.

3. What is the purpose of a harmonic tube in experiments?

The purpose of a harmonic tube in experiments is to study the properties of sound waves, such as frequency, wavelength, and harmonics. It is also used to demonstrate concepts like resonance and the Doppler effect.

4. How is a harmonic tube different from a regular tube?

A harmonic tube is specifically designed and calibrated for scientific experiments, whereas a regular tube may be used for a variety of purposes. Harmonic tubes are also typically made of materials that allow sound to travel through them more easily, while regular tubes may be made of a wider range of materials.

5. Can a harmonic tube be used for other types of waves besides sound waves?

Yes, a harmonic tube can also be used to study other types of waves, such as water waves or light waves. However, the design and materials used may differ depending on the type of wave being studied.

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