Calculating Young's Modulus for a Wire

[JJones_86]

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?

 

[alphysicist]

Hi JJones_86,

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?

 

[JJones_86]

LOL, well that was my problem then. For some reason I wrote down .104 cm... After correcting it, I got the right answer. Thanks!

 

[alphysicist]

Glad to help!