Solving for Constant in T=k/L Inverse Proportionality

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Discussion Overview

The discussion revolves around the relationship between tension and length in a string, specifically exploring the equation T=k/L, where T represents tension, k is a constant, and L is the length. Participants inquire about the nature of the constant k and its implications, as well as related concepts in string theory.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asserts that tension is inversely proportional to length, as expressed in the equation T=k/L, and seeks clarification on the constant k.
  • Another participant introduces a relationship from string quantization, suggesting that the characteristic string length L is related to tension T by L=1/(sqrt{pi*T}).
  • A question is raised regarding the nature of tension along the string, specifically whether it is an average value and if tension can vary along the length of the string.
  • A later reply reiterates the relationship from string quantization and questions whether length is a constant and how to determine T.

Areas of Agreement / Disagreement

Participants express differing views on the nature of tension and its relationship to length, with some proposing specific models while others question the assumptions behind these models. The discussion remains unresolved regarding the constant k and its determination.

Contextual Notes

There are limitations regarding the assumptions made about the constancy of length and the nature of tension along the string, which are not fully explored or defined in the discussion.

Matrixman13
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I know that the tension of a string is Inversely proportional to the length. obviously this is shown as T=k/L, where t is the tension; k is the constant; and L is the length. My question is; What is the constant? I would also appreciate anything else loosely related to the topic. Thank you.
 
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Upon quantization of the string, the characteristic string length L is related to the string "tension" T (the characteristic energy scale) by L=1/(sqrt{pi*T}).
 
What is responsible for the tension along a string? Is the tension you equated above the average tension along the string? Could tension change along the string?
 
Javier said:
Upon quantization of the string, the characteristic string length L is related to the string "tension" T (the characteristic energy scale) by L=1/(sqrt{pi*T}).

Isn't the length a constant? How do you find T?
 

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