In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is

Practice Questions

Q1
In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is the stress in the material?
  1. 2 MPa
  2. 20 MPa
  3. 200 MPa
  4. 2000 MPa

Questions & Step-by-Step Solutions

In a material, if the strain is 0.01 and the Young's modulus is 200 GPa, what is the stress in the material?
  • Step 1: Understand the terms. Strain is a measure of deformation, and Young's modulus is a measure of stiffness of a material.
  • Step 2: Identify the values given in the question. Strain = 0.01 and Young's modulus = 200 GPa.
  • Step 3: Convert Young's modulus from GPa to a more manageable unit if needed. 200 GPa is the same as 200,000 MPa.
  • Step 4: Use the formula for stress, which is Stress = Young's modulus * strain.
  • Step 5: Substitute the values into the formula: Stress = 200 GPa * 0.01.
  • Step 6: Calculate the result: 200 GPa * 0.01 = 2 GPa.
  • Step 7: Convert the result to MPa if needed. 2 GPa is the same as 2000 MPa.
  • Step 8: State the final answer: The stress in the material is 2000 MPa.
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