THE PRACTICE STUDIO
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PRACTICE / Micrometer screw gauge
A diameter bound becomes an area bound
After calibration, a circular wire diameter is bounded by d = 0.80 ± 0.01 mm. Use first-order uncertainty propagation for its cross-sectional area.
What is the approximate percentage bound on area?
Organize the givens & assumptions
- d = 0.80 mm
- Hard diameter bound Δd = 0.01 mm
- A = πd²/4
Circular section; the stated bound already includes calibration; first-order propagation in Δd/d.
- A
- B
- C
- D
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