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Materials

Determining the Young modulus of a wire

  • 1 thing to know
  • Papers 2 and 3

Overview

Recall questions on the wire experiment, why a long thin wire is chosen, the small initial load, the safety precautions, and which measurement dominates the uncertainty.

What you need to know

Answer each one before you reveal it.

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Evaluation

Two wires of the same material and diameter carry the same load, but one is twice as long. How do their extensions compare?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What experiment would you carry out to determine the Young modulus of a metal in the form of a wire?

    Model answer

    Clamp a long thin wire with a marker near its free end, measure its original length to the marker and its diameter at several points with a micrometer, then add known loads and measure the extension of the marker against a fixed rule, plot force against extension and obtain E from the gradient.

  2. 2

    How is the Young modulus obtained from a graph of force against extension for a wire?

    Model answer

    The gradient of the straight-line region equals EA/l, so E is the gradient multiplied by the original length and divided by the cross-sectional area.

  3. 3

    Why is a long, thin wire chosen for this experiment?

    Model answer

    A long thin wire gives the largest extension for a given load, so the extension can be measured with a much smaller percentage uncertainty.

  4. 4

    Why should the diameter of the wire be measured at several points and in different directions?

    Model answer

    The wire may vary in thickness or be slightly oval, so a mean of several readings gives a more reliable cross-sectional area, which is important because the diameter is squared.

  5. 5

    Why is a small initial load applied to the wire before any readings are taken?

    Model answer

    It straightens the wire and removes kinks and slack, so that the measured increases in length are genuine extensions of the material.

  6. 6

    What two safety precautions are needed when determining the Young modulus of a wire?

    Model answer

    Wear eye protection in case the wire snaps and recoils, and place a padded box or sand tray beneath the masses so they cannot fall on anyone's feet.

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