Stress and Strain, simple question Just need a clarification

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Homework Help Overview

The discussion revolves around a problem in the context of stress and strain, specifically involving a steel cable used by a tow truck to pull a car. The original poster seeks clarification on how to calculate the stretch of the cable when a certain tension is applied.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to determine the area of the cable to use in the stress-strain equation but expresses difficulty in identifying the correct formula for area. Some participants clarify that the area should be calculated using the formula for the area of a circle, while others confirm the approach taken by the original poster.

Discussion Status

The discussion is progressing with participants providing clarifications and confirming the understanding of the area calculation. There is a sense of collaborative exploration as the original poster revises their approach based on feedback.

Contextual Notes

Participants are working within the constraints of the problem, including the dimensions of the cable and the material properties provided. There is an emphasis on ensuring correct unit conversions and understanding the application of the formulas involved.

grandprix
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Homework Statement



A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.1 m long?
and has a radius of 0.50 cm .when the car just begins to ,move , the tension in the cable is 980 N. how much has the cable stretched?

Y steel= 2.0 x 10¹¹ N m²

Homework Equations



F/A = Y (delta L / L0 )


The Attempt at a Solution



We just need to solve for delta L, but I am having difficulty figuring out what A would be - any help? What A formula for the cable do I use?
 
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nvermind I think I got it!

890/(2pi*r(in meters) = Y (delta L/9.1)

is this correct?
 
the A in the equation is area, the steel is circular to A=\pi r^2 and convert r to metres.
 
thanks so much!
 

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