Calculating Young's Modulus for a Wire

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To calculate Young's modulus for a wire of length 4.97 m and cross-sectional area of 0.101 cm² that stretches 6.53 mm under a 0.92 kN load, the formula used is (F/A) = Y(Change in Length/Initial Length). An initial calculation yielded an incorrect value due to a miswritten area of 0.104 cm² instead of the correct 0.101 cm². After correcting the area, the user was able to arrive at the correct answer. The discussion highlights the importance of accurate data entry in calculations.
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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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