Young's modulus of a steel post, finding change in length

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SUMMARY

The discussion centers on calculating the change in length of a steel post subjected to a force of 6x10^6 N. Using the formula F/A = Y ⋅ ΔL/Li, participants found discrepancies in their results, with one user obtaining 1.9 mm and another 19 mm. The Young's modulus of steel was debated, with values of 200,000 N/mm² and 210,000 N/mm² mentioned. The correct answer, based on the appropriate Young's modulus, is 2 cm, indicating the importance of precise values in calculations.

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  • Understanding of Young's modulus and its application in material science
  • Familiarity with basic physics equations related to stress and strain
  • Knowledge of unit conversions, specifically between cm² and m²
  • Ability to perform calculations involving force, area, and length
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  • Research the properties of steel and variations in Young's modulus
  • Learn about stress-strain relationships in materials
  • Explore advanced topics in material deformation and elasticity
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Students in physics or engineering, material scientists, and anyone involved in structural analysis or mechanical design will benefit from this discussion.

DracoMalfoy
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Homework Statement


Superman pulls on a steel post to trap a supervillian. The post has a cross-sectional area of 30cm^2 and a length of 2m. If Superman applies a force of 6X10^6N by how much is the length of the post increased?

A)
2mm

B) 7mm

C)
1.2cm

D)
1.7cm

E)
2cm

Homework Equations



F/A= Y(of steel post) ⋅ΔL/Li

F= 6x10^6N
A=30cm^2= .3m^2
Li=2m[/B]

The Attempt at a Solution


[/B]
I know I'm supposed to find the change in length, but when I use this equation, I'm getting 1.9 which isn't an answer choice. I'm not sure what I'm doing wrong here.
 
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DracoMalfoy said:

Homework Statement


Superman pulls on a steel post to trap a supervillian. The post has a cross-sectional area of 30cm^2 and a length of 2m. If Superman applies a force of 6X10^6N by how much is the length of the post increased?

A)
2mm

B) 7mm

C)
1.2cm

D)
1.7cm

E)
2cm

Homework Equations



F/A= Y(of steel post) ⋅ΔL/Li

F= 6x10^6N
A=30cm^2= .3m^2
Li=2m[/B]

The Attempt at a Solution


[/B]
I know I'm supposed to find the change in length, but when I use this equation, I'm getting 1.9 which isn't an answer choice. I'm not sure what I'm doing wrong here.

I also obtain 19 mm. But if I use 200000 N/mm^2 instead of 210000 N/mm^2, the calculation yields 2 cm exactely. Maybe it was rounded down ...
 

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