Unfingered Guitar String Vibration Frequency: 627 Hz

In summary, when a string on a guitar is fingered one third of the way from the end, it will produce a frequency of 940.5 Hz, based on the relationship between the length of the string and the fundamental frequency.
  • #1
Kevin Kim
3
0

Homework Statement


When unfingered, a string on a guitar vibrates at 627 Hz.

What frequency will the string produce when fingered one third of the way from the end, that is only two thirds of the string can vibrate?

Homework Equations

The Attempt at a Solution


I am not too sure what equations to use for this.[/B]
 
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  • #2
Show a list, we will ask which one :smile:
 
  • #3
I have solved the answer by relating to the string harmonics. (627Hz*0.5)+627Hz= 940.5Hz
 
  • #4
Kevin Kim said:
I am not too sure what equations to use for this.
Then you might want to take another look in your course literature on the subject and think about how the length of the string relates to the fundamental frequency.
 

1. What is the meaning of "Unfingered Guitar String Vibration Frequency: 627 Hz"?

The "Unfingered Guitar String Vibration Frequency: 627 Hz" refers to the natural frequency of a guitar string that is not being pressed down by a finger. This means that the string is open and not being shortened, resulting in a specific frequency at which it vibrates.

2. Why is the frequency of 627 Hz significant for unfingered guitar strings?

The frequency of 627 Hz is significant for unfingered guitar strings because it is the natural frequency at which the string vibrates when it is open. This frequency produces a specific musical note, and it is crucial for tuning the guitar to ensure that all strings are in harmony with each other.

3. How is the frequency of an unfingered guitar string calculated?

The frequency of an unfingered guitar string can be calculated using the formula: f = (1/2L) * √(T/μ), where f is the frequency, L is the length of the string, T is the tension in the string, and μ is the linear density of the string. This formula takes into account the physical characteristics of the string and its tension to determine its natural frequency.

4. Can the frequency of an unfingered guitar string be changed?

Yes, the frequency of an unfingered guitar string can be changed by adjusting the tension in the string or by changing the length of the string. Tuning the guitar involves adjusting the tension in each string to produce the desired frequency for each string. Additionally, pressing down on the string with a finger alters the length of the string, resulting in a different frequency.

5. How does the frequency of an unfingered guitar string affect the sound produced?

The frequency of an unfingered guitar string determines the pitch of the sound produced. A higher frequency will result in a higher-pitched sound, while a lower frequency will produce a lower-pitched sound. By tuning the guitar correctly, all strings will vibrate at the desired frequency, resulting in a harmonious and pleasant sound when played together.

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