How tightening a string affects frequency?

In summary, tightening or loosening a string affects the frequency of the note by changing the wavelength and frequency. This can be understood through the relationship between fundamental frequency and standing waves in the string. Mathematically, the length of the string can be related to the frequency through specific formulas. Tuning a guitar is a practical example of this concept.
  • #1
N53nick
3
0

Homework Statement


How does tightening or loosening a string affect the frequency of the note? make specific references to the relationship between fundamental frequency and the standing wave in the string.

Use mathematical arguments from physics to demonstrate the relationships between the variables that you include in your answer.

Homework Equations



None as far as I know

The Attempt at a Solution



I figure that tightening the string increases wavelength, but decreases frequency. I don't know how to incorporate fundamental frequency and standing waves.
 
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  • #2
Have you ever played the guitar, by any chance? If so, think about how you tune it!

As for the mathematical / physical argument: do you happen to know of any formulas that relate length to frequency? (Or something else to frequency, with a standing wave)?
 

FAQ: How tightening a string affects frequency?

1. How does tightening a string affect its frequency?

Tightening a string increases its tension, which in turn increases the speed of sound waves traveling through the string. This results in a higher frequency, or pitch, being produced.

2. What is the relationship between string tension and frequency?

The relationship between string tension and frequency is directly proportional. This means that as string tension increases, frequency also increases.

3. Can tightening a string change the pitch of a note?

Yes, tightening a string can change the pitch of a note. As the string tension increases, the frequency also increases, resulting in a higher pitch being produced.

4. How does the length of a string affect its frequency when tightened?

When a string is tightened, its length remains constant. However, the tension increases, which affects the frequency. The shorter the string, the higher the frequency will be when tightened.

5. Does the material of a string affect how tightening it affects frequency?

Yes, the material of a string can affect how tightening it affects frequency. Different materials have different densities and elasticity, which can impact the speed of sound waves traveling through the string and therefore affect the frequency produced when tightened.

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