Taylor Tool-Life vs Cutting Speed

at speed V (sfm) the tool life is T = (C/V)^(1/n) minutes, and the speed for a target life is V = C / T^n. C is the speed for a 1-minute life and n is the tool-material exponent (~0.1-0.15 HSS, 0.2-0.4 carbide), both from the insert maker or a handbook. Because n is small, life is very sensitive to speed: with C = 300, n = 0.2, cutting at 200 sfm gives 7.6 min, but 174 sfm stretches it to 15 min -- a 13% speed cut roughly doubles the life, the number to balance cycle time against insert cost. The base form ignores feed and depth (the extended Taylor equation adds them); the insert manufacturer's data and the tool/work/coolant combination govern.

V x T^n = C, so tool life T = (C/V)^(1/n) minutes and the speed for a target life V = C / T^n. C = cutting speed (sfm) for a 1-minute life; n = tool-material exponent (~0.1-0.15 HSS, 0.2-0.4 carbide).

Taylor tool-life equation (F.W. Taylor, 1907), by name; the extended form adds feed and depth terms. The insert manufacturer's data and the tool/work/coolant combination govern.

The Taylor equation is public (a classic machining relation); C and n are the two tool-life constants for the specific tool/work pair, from the insert maker's data or a machining handbook, and the cutting speed is the user's choice.

Estimate. AHJ and licensed professional govern.

Field names used by the API: taylor_c, taylor_n, cutting_speed_sfm, target_life_min, tool_life_min, speed_for_target_life_sfm

• Taylor equation V x T^n = C; T = (C/V)^(1/n), V = C/T^n; life very sensitive to speed because n is smallF.W. Taylor / Machinery's Handbook
• Constants C, n C = sfm for 1-min life, n = tool-material exponent (~0.1-0.15 HSS, 0.2-0.4 carbide); base form fixes feed and depthinsert manufacturer data