Calculating Young's Modulus for a Wire

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Homework Help Overview

The discussion revolves around calculating Young's modulus for a wire based on its dimensions and the load applied. The problem involves understanding the relationship between force, area, and the resulting elongation of the wire.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for Young's modulus and how to apply it to the given values. There is a focus on ensuring the correct cross-sectional area is used in the calculations.

Discussion Status

The discussion has progressed with one participant identifying an error in the area used for the calculation, leading to a correction and a successful outcome. There is an acknowledgment of the importance of accurate data in solving the problem.

Contextual Notes

Participants note discrepancies in the provided area measurement, which led to confusion in the calculations. The original poster's initial use of an incorrect value is highlighted as a key issue.

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Homework Statement


A wire of length 4.97 m with a cross-sectional area of 0.101 cm2 stretches by 6.53 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire?


Homework Equations


(F/A) = Y(Change in Length/Initial Length)


The Attempt at a Solution



(920 N)(4.97m)/(.00653m)(.0000104 m^2) = 6.73283E10

I can't seemt to figure out what I am doing wrong... Is that answer not in Pa?
 
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Hi JJones_86,

JJones_86 said:

Homework Statement


A wire of length 4.97 m with a cross-sectional area of 0.101 cm2 stretches by 6.53 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire?


Homework Equations


(F/A) = Y(Change in Length/Initial Length)


The Attempt at a Solution



(920 N)(4.97m)/(.00653m)(.0000104 m^2) = 6.73283E10

I can't seemt to figure out what I am doing wrong... Is that answer not in Pa?

In the problem statement it says the area is 0.101 cm2, but in your calculation you use 0.104cm2. Which one is correct?
 
LOL, well that was my problem then. For some reason I wrote down .104 cm... After correcting it, I got the right answer. Thanks!
 
Glad to help!
 

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