Specific wear rate, nominal line contact — from ring radius and scar width
Archard specific wear rate for a line-contact (pin-on-ring) wear scar, computed from the ring radius and semi scar width, deriving the scar depth from circular-segment geometry.
Scar depth, h = r − √(r²−b²)3.424818210681635e-12
Wear volume, V18.265868518727807 mm³
Specific wear rate, k = V/(F·s)3.382568244208853 mm³/N·m
The scar-depth output h1 reproduces the legacy source’s own scale-factor quirk (×10⁻⁶ instead of the ×10⁶ its label implies) verbatim — not corrected here, per this migration’s no-silent-fix rule. See c6_3b for the inverse calculator (input scar depth + width, output ring radius).
Method & references
- Archard specific wear rate for a pin-on-ring line-contact scar, circular-segment volume.
The computation is a literal port of the original client-side JavaScript from /calculators/c6_3a.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.