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Measuring Young modulus accurately

A thin wire’s diameter is measured to calculate its cross-sectional area. The squared diameter makes this measurement especially important in a Young-modulus calculation.

E = FL/(Ax) A = πd²/4

Follow the reasoning

  1. Measure diameter at several positions and orientations.
  2. Measure extension from the original length, correcting any zero offset.
  3. Combine uncertainties with the correct powers.
OFFICIAL OCR QUESTIONS

Try it in a past paper 1

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Specification outcomes (4)
  • 3.4.2(d)(i) Define Young modulus, E = stress / strain.
  • 3.4.2(d)(ii) Use techniques and procedures to determine the Young modulus for a metal.
  • 2.2.1(a) Understand systematic errors (including zero errors) and random errors in measurements.
  • 2.2.1(c) Calculate absolute and percentage uncertainties when data are combined by addition, subtraction, multiplication, division or raising to powers.
Official OCR AS specification ↗