How do you calculate tension in the string?

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    String Tension
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Homework Help Overview

The problem involves calculating the tension in a guitar string that is stretched between two supports and exhibits a standing wave with a specific frequency and linear density. The subject area relates to wave mechanics and the properties of strings.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster expresses uncertainty about the formulas needed to solve for tension, mentioning basic wave relationships but lacking specific tension-related equations. Some participants inquire about the attempts made to approach the problem.

Discussion Status

The discussion is ongoing, with participants exploring foundational concepts related to wave mechanics. Guidance has been offered in the form of a resource link, but there is no clear consensus or resolution yet.

Contextual Notes

The original poster notes a lack of formulas in their textbook regarding tension, and there is an indication that the teacher has not covered this topic, which may limit the discussion's direction.

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Homework Statement



A guitar string with a linear density of 2.0 g/m is stretched between supports that are 60 cm apart. The string is observed to form a standing wave with three antinodes when driven at a frequency of 420 Hz.

What is the tension in the string?
 
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Please show us what you've tried so far.
 
I don't have any formulas to even begin solving the problem. i just know f= v/x an f= 1/period? My book does not have any formulas pertaining to tension and the teacher never taught us this information.
 

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