A material is subjected to a tensile stress of 100 MPa and experiences a strain of 0.002. What is its Young's modulus?

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Q: A material is subjected to a tensile stress of 100 MPa and experiences a strain of 0.002. What is its Young's modulus?

Solution: Young's modulus (Y) = Stress / Strain = 100 MPa / 0.002 = 50 GPa.

Steps: 7

Step 1: Understand the terms. Stress is the force applied per unit area, and strain is the deformation of the material compared to its original length.
Step 2: Identify the values given in the question. The tensile stress is 100 MPa (megapascals) and the strain is 0.002.
Step 3: Recall the formula for Young's modulus (Y), which is Y = Stress / Strain.
Step 4: Substitute the values into the formula. Replace 'Stress' with 100 MPa and 'Strain' with 0.002.
Step 5: Perform the calculation: 100 MPa divided by 0.002 equals 50,000 MPa.
Step 6: Convert 50,000 MPa to GPa (gigapascals) since 1 GPa = 1,000 MPa. Therefore, 50,000 MPa is equal to 50 GPa.
Step 7: Conclude that the Young's modulus of the material is 50 GPa.