Calculation
vc = C / T^n
Higher cutting speeds shorten tool life disproportionately, governed by the Taylor exponent n.
Taylor-Standzeitgleichung; Dubbel Fertigungsverfahren S 4.2.1: T/T0 = (vc/C)^k mit T0 = 1 min, k = −1/n
Cutting speed via the Taylor tool-life equation
Higher cutting speeds shorten tool life disproportionately, governed by the Taylor exponent n.
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Result
Select a target and calculate.
Understand the inputs
- Cutting speed vc — Cutting speed achievable at tool life T.
- Taylor constant C — Tool- and material-dependent constant, numerically equal to vc at T=1 min.
- Taylor exponent n — Empirical exponent; HSS about 0.1, carbide about 0.2 to 0.3, ceramic about 0.3 to 0.5.
- Desired tool life T — Targeted tool service life until wear-out.
Example
C=300 m/min, n=0.25 and T=15 min give vc=300/15^0.25≈152.4 m/min.
Assumptions and limits
Constant C and n over the considered speed range, a single wear mechanism and constant cutting conditions; coolant, workpiece hardness variation and tool-change cost are excluded.
Understand Cutting speed via the Taylor tool-life equation
This calculator determines the allowable cutting speed for a desired tool life using the tool-life equation F. W. Taylor established in 1907, a cornerstone of machining technology.
What does this quantity describe?
Taylor described the relationship between cutting speed and tool life as a power law: vc·T^n=C, rearranged as vc=C/T^n. C numerically equals cutting speed at a one-minute tool life.
Formula and variables
vc = C / T^n
vc·T^n = Cvc = C/T^n
| Symbol / input | Meaning |
|---|---|
| Cutting speed vc | Cutting speed achievable at tool life T. |
| Taylor constant C | Tool- and material-dependent constant, numerically equal to vc at T=1 min. |
| Taylor exponent n | Empirical exponent; HSS about 0.1, carbide about 0.2 to 0.3, ceramic about 0.3 to 0.5. |
| Desired tool life T | Targeted tool service life until wear-out. |
Choose the inputs correctly
C is the tool- and material-dependent Taylor constant, n the Taylor exponent, T the desired tool life.
How to use the calculator
Take C and n from machining trials, tool manufacturer data, or reference tables for the material-tool combination at hand; set T as the targeted tool service life.
Worked example
C=300 m/min, n=0.25 and T=15 min give vc=300/15^0.25≈152.4 m/min.
Understand the result and units
Small n values (e.g. high-speed steel) mean tool life is very sensitive to speed changes; larger n values (ceramic) make the process more tolerant of higher speeds.
C and vc are speeds, T a time, n dimensionless.
Typical applications
Economic optimisation of machining processes, estimating achievable tool life at a given cutting speed and vice versa.
Assumptions, limits and common mistakes
Constant C and n over the considered speed range and a single wear mechanism; coolant, workpiece hardness variation, tool coating and tool-change cost are excluded.
Common mistake: Do not mix C and n from different, non-comparable material-tool pairings; the two constants always belong together.
Frequently asked questions
What is “Cutting speed via the Taylor tool-life equation” used for?
Economic optimisation of machining processes, estimating achievable tool life at a given cutting speed and vice versa.
Where do the input values come from?
C is the tool- and material-dependent Taylor constant, n the Taylor exponent, T the desired tool life.
What does the result not cover?
Constant C and n over the considered speed range and a single wear mechanism; coolant, workpiece hardness variation, tool coating and tool-change cost are excluded.