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Materials

The Young modulus

  • 3 things to know
  • Papers 1 and 3

Overview

Recall questions on defining the Young modulus, its formula, units and calculation, and the experiment to determine it for a wire: measuring length, diameter and extension, why a long thin wire is used, and the graph plotted.

What you need to know

Answer each one before you reveal it.

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Numbers

State the formula for Young modulus and identify each term.

Key term

How is the cross-sectional area of a wire determined when measuring Young modulus?

Key term

Define Young modulus.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define Young modulus.

    Model answer

    Young modulus is the ratio of tensile stress to tensile strain

  2. 2

    State the formula for Young modulus and identify each term.

    Model answer

    E = σ/ε, where E is Young modulus, σ is stress, and ε is strain

  3. 3

    Calculate the Young modulus when stress = 3.18 × 10⁸ Pa, strain = 0.0041.

    Model answer

    Young modulus = 3.18 × 10⁸ ÷ 0.0041 = 7.76 × 10¹⁰ Pa.

  4. 4

    What are the units of Young modulus and what property of a material does it measure?

    Model answer

    Pascals (Pa); it is a measure of the stiffness of a material

  5. 5

    How is the cross-sectional area of a wire determined when measuring Young modulus?

    Model answer

    Measure the diameter at several points using a micrometer, calculate the mean diameter, then calculate the cross-sectional area

  6. 6

    How are extension measurements made when determining Young modulus for a wire?

    Model answer

    By applying known loads and measuring extension using a marker and scale or a travelling microscope

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