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

In summary, Young's Modulus Numerical, also known as the Young's Modulus or the Elastic Modulus, is a measure of the stiffness of a material. It is calculated by dividing the stress applied to a material by the resulting strain. This value is important in materials science as it helps determine the strength and stiffness of a material. Temperature can also affect Young's Modulus Numerical, with higher temperatures resulting in a lower modulus value. Additionally, this parameter can vary greatly for different materials due to factors such as chemical composition and microstructure.
  • #1
aby217
1
0

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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  • #2
pressure = Force / Area

Do you have any study material from where you study ? :eek:
 
  • #3
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.
 

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

1. What is Young's Modulus Numerical?

Young's Modulus Numerical, also known as the Young's Modulus or the Elastic Modulus, is a measure of the stiffness of a material. It is the ratio between the stress applied to a material and the resulting strain on the material.

2. How is Young's Modulus Numerical calculated?

The formula for calculating Young's Modulus Numerical is: E = σ/ε, where E is the Young's Modulus, σ is the stress applied to the material, and ε is the resulting strain on the material. It is typically measured in units of Pascals (Pa).

3. What is the significance of Young's Modulus Numerical in materials science?

Young's Modulus Numerical is an important parameter in materials science as it helps determine the strength and stiffness of a material. It is often used in engineering and construction to ensure that materials can withstand the stresses and strains they will experience in their intended applications.

4. How does temperature affect Young's Modulus Numerical?

Temperature can have a significant impact on Young's Modulus Numerical. In general, as temperature increases, the modulus decreases. This is because higher temperatures can cause materials to expand and become more flexible, resulting in a lower modulus value.

5. Can Young's Modulus Numerical vary for different materials?

Yes, Young's Modulus Numerical can vary greatly for different materials. It is a material-specific property and is influenced by factors such as the chemical composition, microstructure, and processing of the material. For example, metals typically have higher moduli than polymers or ceramics.

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