Relative Extension of Collagen Fiber: %0.8

Click For Summary
SUMMARY

The discussion centers on calculating the percentage of relative extension of collagen fiber under a 12 N force, with a cross-sectional area of 3 mm² and a coefficient of elasticity of 500 MPa. The correct formula used is F/A = E Δl/l. The initial calculation yielded an incorrect result of 8*10^-4 due to a misinterpretation of the cross-sectional area and the coefficient of elasticity. The correct answer is confirmed to be 0.8% after addressing these errors.

PREREQUISITES
  • Understanding of stress and strain concepts in materials science.
  • Familiarity with the formula F/A = E Δl/l for elastic deformation.
  • Knowledge of units conversion, specifically between mm² and m².
  • Basic grasp of the properties of collagen fibers and their mechanical behavior.
NEXT STEPS
  • Review the principles of elastic deformation in materials science.
  • Learn about unit conversions in mechanical engineering contexts.
  • Explore the mechanical properties of biological materials, focusing on collagen.
  • Study advanced applications of stress-strain relationships in engineering.
USEFUL FOR

Students in materials science, mechanical engineering, and biology, particularly those studying the mechanical properties of biological tissues and their applications in engineering contexts.

edorf
Messages
2
Reaction score
0
1. Collagen fiber is stressed with 12 N force. The cross-sectional area of the fiber is 3 mm2, its coefficient of elasticity is 500 MPa. Give the percentage of relative extension.

I think i have found the correct equation but i can't seem to find the rigth answer which is suposed to be 0.8% but i always end up with 8*10^-4..

Homework Equations



F/A=E Δl/l

The Attempt at a Solution



12N/(0,003m^2 * 5*10^6 Pa)

and then I get a result of 8*10^-4, and I am stuck.. I believe there is something fundamental I have missed but I can't seem to find it.. Thanks in advance!
 
Physics news on Phys.org
welcome to pf!

hi edorf! welcome to pf! :smile:

(try using the X2 tag just above the Reply box :wink:)
edorf said:
The cross-sectional area of the fiber is 3 mm2, its coefficient of elasticity is 500 MPa. Give the percentage of relative extension.

12N/(0,003m^2 * 5*10^6 Pa)

erm … 3 mm2 isn't .003 m2, is it? :redface:

(and you left the 00 out of 500)
 
ahhhhh...! Thank you so much!:D I guess that's what happends when you try to solve problems for 8h straight :P
 

Similar threads

  • · Replies 23 ·
Replies
23
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
11K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
3
Views
13K