What is the relationship between water height and standing waves in a tube?

In summary, a 1.0--tall vertical tube filled with 20 water is drained while a tuning fork vibrating at 573 is held over the top. Using the equation f=m(v/4L) and the speed of water as 1480 m/s, odd integers are used to find the length of the standing waves in the tube. However, only one answer is obtained, which is .34, as the standing wave is set up between the water interface and the end of the tube. It is assumed that the medium of the standing wave is air, not water.
  • #1
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Homework Statement



A 1.0--tall vertical tube is filled with 20 water. A tuning fork vibrating at 573 is held just over the top of the tube as the water is slowly drained from the bottom. At what water heights, measured from the bottom of the tube, will there be a standing wave in the tube above the water?


Homework Equations


f=m(v/4L), speed of water is 1480 m/s


The Attempt at a Solution


by using the information given we used m= as odd interegers to find the length of the standing waves in the tube. There should be three answers but we can only get one which is .34
 
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  • #2
The standing wave is set up in the tube between the water interface and the end of the tube. You may be using the speed of sound in water in your calculation. Assume the medium of the standing wave is air.
 

FAQ: What is the relationship between water height and standing waves in a tube?

1. What are standing waves in a tube?

Standing waves in a tube are patterns of vibration that occur when sound waves are reflected back and forth between two opposite ends of a tube. This results in nodes and antinodes, or points of maximum and minimum vibration, along the length of the tube.

2. How do standing waves in a tube form?

Standing waves in a tube form when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other. This creates stationary points of vibration, or nodes, along the length of the tube.

3. What factors affect the formation of standing waves in a tube?

The formation of standing waves in a tube is affected by the length of the tube, the frequency and amplitude of the sound waves, and the speed of sound in the medium. These factors determine the locations of the nodes and antinodes within the tube.

4. What is the significance of standing waves in a tube?

Standing waves in a tube have practical applications, such as in musical instruments like wind instruments and organ pipes. They also help scientists and engineers understand the behavior and properties of sound waves and can be used to measure the speed of sound in a medium.

5. How do you calculate the wavelength of a standing wave in a tube?

The wavelength of a standing wave in a tube can be calculated by dividing the length of the tube by the number of nodes present. This is because the distance between two adjacent nodes represents one half of a wavelength. The formula is: λ = 2L/n where λ is the wavelength, L is the length of the tube, and n is the number of nodes.

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