Experiment 1: Vernier Caliper and Micrometer — Worked Examples

The zero of a vernier scale lies between $24$ and $25\,\text{mm}$ on the main scale. The 18th vernier division coincides with a main-scale mark. The least count is $0.02\,\text{mm}$. Determine the reading.

A metric micrometer shows $7.50\,\text{mm}$ on the sleeve and the thimble graduation $23$ aligns with the reference line. The thimble least count is $0.01\,\text{mm}$. Determine the measured dimension.

A vernier caliper reads $0.04\,\text{mm}$ when its jaws are fully closed. It later shows $18.62\,\text{mm}$ on a specimen. Determine the corrected dimension.

A micrometer reads $-0.03\,\text{mm}$ at true zero. The observed specimen reading is $12.41\,\text{mm}$. Determine the corrected value.

Five corrected diameter readings are $12.48$, $12.50$, $12.49$, $12.51$, and $12.47\,\text{mm}$. Determine the mean and half-range.

A circular rod has corrected diameter $d=12.49\,\text{mm}$. Determine its cross-sectional area.

A cylinder has diameter $18.36\,\text{mm}$ and height $42.18\,\text{mm}$. Determine its volume in cubic centimeters.

A reference gauge block is $10.000\,\text{mm}$. A corrected vernier reading is $10.02\,\text{mm}$ and a corrected micrometer reading is $10.01\,\text{mm}$. Determine each percent error and identify the closer result.