Skip to content
engineering

Tool Life Calculator

Calculate cutting tool life from Taylor’s equation V·Tⁿ = C for machining operations.

Tool life
16 min
T = (C / Vc)^(1/n) = (400 / 200)^(1/0.25)
Tool life (hours)
0.27 h
Taylor relation
V·Tⁿ = 400

How it works

  1. 1Enter the cutting speed Vc (m/min), Taylor constant C, and exponent n for your tool–workpiece pair.
  2. 2The calculator solves T = (C/Vc)^(1/n), rearranging Taylor’s V·Tⁿ = C.
  3. 3Read tool life in minutes and hours, then adjust speed to balance productivity and wear.

Use cases

  • Optimising CNC parameters to extend insert life and reduce downtime.
  • Comparing tool life at different cutting speeds to find the economic optimum.
  • Estimating tool-change intervals for production planning.

Frequently asked questions

What is Taylor’s tool-life equation?

V·Tⁿ = C relates cutting speed V (m/min) to tool life T (min). Rearranged: T = (C/V)^(1/n). With Vc = 200, C = 400, n = 0.25: T = (400/200)⁴ = 16 min.

What are typical n and C values?

n ranges from ~0.1 (ceramics) to ~0.5 (HSS), often ~0.25 for carbide. C depends on the tool–workpiece pair and is found from data or testing.

How does cutting speed affect tool life?

Strongly. With n = 0.25, doubling speed cuts tool life by 2⁴ = 16×. Even a 20% speed rise can roughly halve tool life.

Related tools

See all →
Gear Ratio Calculator

Find the gear ratio, output speed, torque, and mechanical advantage of a gear pair, in metric or imperial.

Gear Train Calculator

Calculate the overall ratio and output speed of a multi-stage compound gear train.

Torque Calculator

Calculate shaft torque from power and rotational speed in metric or imperial units.

Power Transmission Calculator

Calculate the mechanical power transmitted by a rotating shaft from torque and shaft speed.