Theoretical Surface Finish
Theoretical turned surface finish from feed and tool nose radius: peak-to-valley Rt = f^2 / (8 x r) with an estimated Ra ~= Rt / 4, in microinches and micrometres (first-principles scallop geometry).
Formula and source
Theoretical peak-to-valley Rt = f^2 / (8 x r); estimated arithmetic average Ra ~= Rt / 4 (= 0.032 x f^2 / r).
Theoretical surface roughness from feed and nose radius - first-principles scallop geometry as in Machinery's Handbook (Industrial Press), by name; public domain.
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