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PRACTICE / Young modulus experiment

Read stiffness from extension data

A uniform wire has original length 2.0 m and area 1.0 mm². Its extension readings are 0.10, 0.20 and 0.30 mm at tensile forces 10, 20 and 30 N.

Elastic extension measurements
Force (N)Extension (mm)
100.10
200.20
300.30

Find Young’s modulus.

Organize the givens & assumptions
  • L = 2.0 m
  • A = 1.0 mm²
  • Extension measured against force

Linear elastic range; no slip, negligible temperature change and exact idealized readings for this task.

  1. A2.0×105 Pa2.0\times10^5\ \mathrm{Pa}
  2. B5.0×10−12 Pa5.0\times10^{-12}\ \mathrm{Pa}
  3. C2.0×1011 Pa2.0\times10^{11}\ \mathrm{Pa}
  4. D2.0×108 Pa2.0\times10^8\ \mathrm{Pa}

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