Calculating Young's Modulus for a Rod Using Pressure and Diameter Measurements

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SUMMARY

The discussion centers on calculating Young's Modulus for a rod using specific measurements: a length of 15 cm, a diameter of 1.3 cm, and a pressure of 17795 Pa. The correct formula for Young's Modulus is established as the ratio of stress to strain, where stress is defined as Force divided by Area (F/A) and strain is the change in length (ΔL) divided by the original length (L). The user is guided to apply these definitions to derive the necessary calculations for Young's Modulus.

PREREQUISITES
  • Understanding of Young's Modulus and its significance in material science
  • Familiarity with basic physics concepts such as stress and strain
  • Knowledge of pressure calculations and their relationship to force and area
  • Ability to manipulate algebraic equations for problem-solving
NEXT STEPS
  • Study the derivation of Young's Modulus using the formula ΔL=γLA/F
  • Learn how to calculate stress and strain in different materials
  • Explore practical applications of Young's Modulus in engineering and materials science
  • Review pressure calculations and their implications in mechanical systems
USEFUL FOR

Students in physics or engineering, material scientists, and anyone involved in mechanical design or analysis of materials under stress.

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Homework Statement



length: 15 cm
Δlength ?
diameter 1.3 cm
pressure 17795 pa
γ= 2.0*10^11 Nm^2

Homework Equations



ΔL=γLA/F

The Attempt at a Solution



i could not find the answer don' know where to place pressure
 
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pressure = Force / Area

Do you have any study material from where you study ? :eek:
 
Your Young's modulus equations are not correct.
Young's modulus = stress/ strain
Stress = Force/area = F/A
Strain = extension/orig length strain = ΔL/L
Put these in the stress/strain equation and take it from there.
 

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