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A steel wire has a cross-sectional area of 2.0 mm² and is subjected to a tensile force of 400 N. Calculate the tensile stress in the wire.

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Exam-style question

Try this first

A steel wire has a cross-sectional area of 2.0 mm² and is subjected to a tensile force of 400 N. Calculate the tensile stress in the wire.

Model answer

What a good answer should say

  • To calculate tensile stress, use the formula: tensile stress = F / A.
  • Here, F = 400 N and A = 2.0 mm² = 2.0 x 10^-6 m².
  • Substituting these values gives: tensile stress = 400 N / (2.0 x 10^-6 m²) = 200,000,000 Pa or 200 MPa.

Explanation

Why this works

This calculation question requires applying the formula for tensile stress. The working shows the conversion of area from mm² to m², ensuring the correct units are used in the calculation.

The final answer is expressed in pascals, which is the standard unit for stress.

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