A steel rod with a length of 2 meters and a cross-sectional area of 0.002 m² is stretched by a force of 800 N. What is the strain in the rod?
Question
A steel rod with a length of 2 meters and a cross-sectional area of 0.002 m² is stretched by a force of 800 N. What is the strain in the rod?
Solution
To calculate the strain in the rod, we need to use the formula for strain, which is:
Strain = Stress / Young's Modulus
However, in this case, we are not given the Young's Modulus, but we can calculate the stress using the formula:
Stress = Force / Area
Substituting the given values:
Stress = 800 N / 0.002 m² = 400,000 N/m²
Now, since the strain is the ratio of the deformation to the original length, and in this case, the deformation is the stress (because we are assuming the rod is perfectly elastic), the strain is:
Strain = Stress / Young's Modulus = 400,000 N/m² / Young's Modulus
Without the Young's Modulus, we cannot calculate the exact strain. However, if we had the Young's Modulus, we would substitute it into the equation to find the strain.
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