Taylor’s Equation Calibration Workbook (Excel)

Taylor’s Equation Calibration Workbook operationalizes the foundational empirical relationship V·T^n = C—where V is cutting speed (m/min or sfm), T is tool life (minutes), n is the Taylor exponent (material-tool dependent), and C is a constant reflecting tool-workpiece-geometry conditions. The workbook transforms this power-law relationship into a linear form via logarithmic transformation: log(V) = log(C) − n·log(T), enabling ordinary least squares (OLS) regression in Excel to estimate n and C from experimental or shop-floor tool life test data. Users input paired observations of cutting speed and corresponding tool life (often across multiple trials or insert geometries), and the workbook computes regression coefficients, R² goodness-of-fit metrics, confidence intervals, and residual diagnostics to assess model validity. Beyond calibration, it supports 'what-if' scenario analysis—e.g., predicting tool life at new speeds or determining maximum allowable speed for a target tool life—thereby bridging theoretical metal cutting models with practical process planning. Advanced versions may integrate cost models (e.g., including machine time, tooling cost, and downtime) to derive economically optimal cutting parameters aligned with Taylor’s law.