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Reading calipers

Physics practical: length measurement

1 min readUpdated

Key answer

A vernier caliper reads to its least count (0.1, 0.05 or 0.02 mm) with no estimation; a micrometer screw gauge reads to 0.01 mm; some curricula (for example Chinese senior-high physics) add one estimated digit (0.001 mm) — follow your syllabus. Always correct for zero error and keep the trailing zeros.

On this page
  1. Vernier caliper: least count and reading
  2. The experiment
  3. Micrometer screw gauge
  4. Significant figures and units
  5. References
  6. Watch it done
  7. Practise in the lab
  8. Questions
Lab clipRead a vernier caliper on a Ø25 shaft (readout view)Open in the lab →

Vernier caliper: least count and reading

Least count = 1 main-scale division − 1 vernier division = 1 mm / n for n vernier divisions. Reading = main-scale reading + coinciding division × least count − zero error. Example (20 divisions, 0.05 mm): 21 mm + 9 × 0.05 = 21.45 mm; with zero error +0.10 mm, the length is 21.35 mm.

The experiment

  1. Find the least count and the zero error.
  2. Outer diameter of a tube or cylinder with the outside jaws.
  3. Inner diameter with the inside jaws, across a diameter.
  4. Depth with the depth rod, beam end resting on the rim.
  5. Repeat at different positions and take the mean.

Micrometer screw gauge

Pitch 0.5 mm, 50 thimble divisions → least count 0.01 mm. Reading = main scale (to 0.5 mm) + thimble divisions × 0.01 mm, estimated to 0.001 mm. Example: 6.5 mm + 20.3 × 0.01 = 6.703 mm.

Significant figures and units

Keep the digits the instrument gives: 10.40 mm from a 0.02 mm vernier is 1.040 cm, not 1.04 cm. A 0.05 mm vernier gives readings ending in 0 or 5 in the second decimal; a 0.02 mm vernier in an even digit.

References

  1. ISO 13385-1:2019 — Geometrical product specifications (GPS) — Dimensional measuring equipment — Part 1: Design and metrological characteristics of callipers · ISO
  2. JCGM 200:2012 — International vocabulary of metrology — Basic and general concepts and associated terms (VIM, 3rd edition) · JCGM / BIPM

Watch it done

ReenactmentVernier caliper: outside diameter of Turned shaft Ø25 · 0:28Watch in the lab → Follow step by step → Download video (13.0 MB)

Played back in the lab from domain commands; the reading and verdict come from the measurement model.

Practise in the lab

Questions

What is the least count of a vernier caliper with 20 divisions?

0.05 mm (1 mm / 20).

Why does a screw gauge reading have three decimals but a vernier only two?

Where your syllabus asks for it, a screw gauge is read with one estimated digit beyond its 0.01 mm divisions; a vernier caliper is read only to its least count.

Try it yourself

Open the same setup in the 3D lab and take the reading yourself.

Open in the lab →

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