Solving the Violin String Problem: Frequency, Wave, and Tension

In summary, the mass of the violin string is 35g and the length is 60cm. The frequency is 196Hz. To find the frequency change when the string is fingered at 15cm from the top end, more information is needed. The wave propagation speed and the tension in the string also cannot be determined without additional information.
  • #1
NvZnPhysics
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Homework Statement


Mass of violin string = 35g
Length of string = 60cm
Frequency = 196Hz

What is the frequency change to if the string is fingered at 15cm from the top end?
How fast does the wave propagate down the string?
What is the tension in the string?

Homework Equations


v = Squareroot of (Tension Force / (m/L))
vT = wavelength


The Attempt at a Solution


No idea how to approach this problem.. Not enough given information to plug and chug into those equations.
 
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  • #2
I think the frequency change would be higher? But I'm not sure how to figure out the tension, velocity, or wavelength.
 

Related to Solving the Violin String Problem: Frequency, Wave, and Tension

1. What is the violin string problem?

The violin string problem is the challenge of finding the optimal frequency, wave, and tension for a violin string in order to produce the desired sound and tone.

2. Why is solving the violin string problem important?

Solving the violin string problem is crucial for musicians to achieve the best sound quality and playability on their instruments. It also allows for consistency and precision in creating music.

3. How do frequency, wave, and tension affect the sound of a violin string?

The frequency, wave, and tension of a violin string all play important roles in determining the pitch, tone, and volume of the sound produced. The frequency refers to the number of vibrations per second, while the wave describes the shape of the vibration. Tension, on the other hand, determines the stiffness of the string and affects the overall sound quality.

4. What methods are used to solve the violin string problem?

There are several methods used to solve the violin string problem, including mathematical equations and computer simulations. These methods take into account factors such as string material, length, and diameter, as well as the desired pitch and tone.

5. Are there any challenges in solving the violin string problem?

Yes, there are several challenges in solving the violin string problem, including the complexity of the mathematical equations and the variability of factors such as string material and musician preference. Additionally, the violin string problem is not a one-size-fits-all solution, as different musicians may have different preferences for their instrument's sound.

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