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PRACTICE / Micrometer screw gauge

Correct the whole reading

A single-start micrometer advances 0.50 mm per turn and has 50 circular divisions. For a spacer, the exposed sleeve reading is 1.50 mm and division 28 meets the datum. Clean closed faces indicate +0.03 mm.

What is the corrected spacer thickness?

Organize the givens & assumptions
  • p = 0.50 mm/turn; N = 50
  • s = 1.50 mm; n = 28
  • Signed zero indication z = +0.03 mm

Uniform pitch, no backlash or deformation, square contact, and a stable additive zero offset.

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Problem: Correct the whole reading
A single-start micrometer advances 0.50 mm per turn and has 50 circular divisions. For a spacer, the exposed sleeve reading is 1.50 mm and division 28 meets the datum. Clean closed faces indicate +0.03 mm.
Question: What is the corrected spacer thickness?
Givens:
- p = 0.50 mm/turn; N = 50
- s = 1.50 mm; n = 28
- Signed zero indication z = +0.03 mm
Assumptions: Uniform pitch, no backlash or deformation, square contact, and a stable additive zero offset.
Choices (LaTeX):
A. 1.75\ \mathrm{mm}
B. 1.78\ \mathrm{mm}
C. 1.81\ \mathrm{mm}
D. 1.25\ \mathrm{mm}

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

Tutoring approach:
Act as a patient physics tutor. Ask what I understand and what I have tried, then wait for my reply. Teach one step at a time; do not give the final answer or a complete solution immediately. Start with a physical picture. Define unfamiliar symbols and operators, explain signs and units, and state the model's assumptions. Give progressively stronger hints only when I need them. Ask me to predict a change before calculating it. When I finish, help me check dimensions and a limiting case, then ask one related transfer question. If information is missing or ambiguous, ask rather than inventing it. Distinguish exact results from approximations and acknowledge uncertainty.
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