How much is it lengthened from its untensioned length of 30.2 cm?

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Homework Help Overview

The problem involves determining the elongation of a nylon tennis string under tension, given its initial length and diameter. The subject area relates to material properties and mechanics, specifically focusing on tension and elongation in materials.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Young's modulus and the relationship between stress and strain. There are attempts to clarify the necessary conversions for units and the calculation of cross-sectional area.

Discussion Status

The discussion is active, with participants providing insights into the necessary parameters for the calculations. Some guidance has been offered regarding unit conversions and the interpretation of the formula used. Multiple aspects of the problem are being explored without a clear consensus on the solution.

Contextual Notes

Participants note the importance of converting measurements to consistent units, as well as the need to understand the definitions of stress and strain in the context of the problem.

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Homework Statement



A nylon tennis string on a racket is under a tension of 245 N. If its diameter is 0.92 mm, by how much is it lengthened from its untensioned length of 30.2 cm?

Homework Equations



F=E(delta L/L initial)A

The Attempt at a Solution



245N=(5e9)(?/30.2)(.0266)

delta L = 6.1e-8cm
 
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You know the stress, to find the strain you need to know Young's modulus for Nylon.
That is the ratio of the stress to the strain ( can't remember which way round )
 
elastic modulus for nylon is 5e9
 
that seems right. does that not match with the answer? Its been a while since i used that equation
 
So you'll want to convert the diameter and the "untensioned length" to meters. Also, you want to think of the cross sectional area as the area of a circle, which you know the diameter of. Does that help?
 
oh you it has to be in meters. and mm is 1x 10^-3 meters.
 

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