String tension, is this the correct formula?

In summary, the formula for string tension is T = 1/(pa'), where a' = alpha prime. In the book, the formula is given as T = 1/(2pi*alpha') and if there is a difference of a factor of 2, it is not significant. The value of p is most likely pi, which makes sense for a closed string.
  • #1
ant0
6
0
I read in a book that tension = 1/(pa'), where a' = alpha prime.

Is this the correct formula for string tension and if so what is p?
 
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  • #2
Originally posted by ant0
I read in a book that tension = 1/(pa'), where a' = alpha prime.

Is this the correct formula for string tension and if so what is p?

in my book, it is

[tex]T=\frac{1}{2\pi\alpha'}[/tex]

[itex]\pi[/itex] is the ratio of the circumference of a circle to its diameter, approximately 3.14. and if your source differs by a factor of 2 from mine, i wouldn't worry about it.
 
  • #3
ah, p must be pi then, would that make sense for a closed string then?
 

1. What is string tension?

String tension is the force applied to a string, typically in a musical instrument, that causes it to vibrate and produce sound.

2. How is string tension measured?

String tension is typically measured in pounds (lbs) or newtons (N). It can also be measured in kilograms (kg) or grams (g) in some cases.

3. What factors affect string tension?

The main factors that affect string tension are the type and gauge of the string, the length of the string, and the tuning of the instrument.

4. What is the formula for calculating string tension?

The most commonly used formula for calculating string tension is T = F * L, where T is the tension, F is the force applied to the string, and L is the length of the string.

5. Is this formula accurate for all types of strings and instruments?

No, this formula may not be accurate for all types of strings and instruments. It is a simplified formula and other factors such as string material, elasticity, and geometry may also play a role in string tension.

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