Calculating percentage uncertainty for young's modulus

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SUMMARY

This discussion focuses on calculating percentage uncertainty for Young's modulus in a practical coursework setting. The user initially struggled to determine the overall uncertainty for their experiments but eventually found a solution after extensive research. Key formulas mentioned include the calculation of cross-sectional area (∏d²), strain (Extension/Original Length), stress (Force Applied/Cross Sectional Area), and Young's modulus (Stress/Strain). The user emphasizes the importance of understanding the underlying theory rather than simply completing the homework.

PREREQUISITES
  • Understanding of Young's modulus and its significance in material science.
  • Familiarity with basic physics concepts such as stress and strain.
  • Knowledge of how to calculate cross-sectional area using the formula ∏d².
  • Ability to manipulate and interpret experimental data for uncertainty analysis.
NEXT STEPS
  • Research methods for calculating percentage uncertainty in experimental physics.
  • Learn about error propagation techniques in measurements.
  • Explore the relationship between stress and strain in different materials.
  • Study practical applications of Young's modulus in engineering and materials science.
USEFUL FOR

Students in physics or engineering courses, educators teaching material properties, and anyone involved in experimental design and analysis of mechanical properties.

Hallam17
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Homework Statement



I cannot work out how to calculate my percentage uncertainty for my coursework, i need to show that my second method has a reduced uncertainty than my first, could anybody please enlighten me as to how to work it out. My table for one of the practicals is attached

Homework Equations



You probably know this already but just in case

∏d2 = cross sectional area
Extension/Original Length = Strain
Force Applied/Cross Sectional Area = Stress
Young's Modulus = Stress/Strain

The Attempt at a Solution



Tried numerous times but quite simply don't understand how to get an overall uncertainty for the practical

I would also like to add that as stated in the 'why hasn't anybody answered me' thread it's the theory that I'm after not for you to do the homework, I understand how that could irritate those helping on here

Any help would be greatly appreciated, thanks
 

Attachments

  • Young's Modulus Table.jpg
    Young's Modulus Table.jpg
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Last edited:
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After refreshing this page for 2 hours, I tried yet even more possibilities and have figured out how to do this now!
 

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