Taylor Tool Life Calculator

Taylor Tool Life Formula

Worked Example

V = 100 m/min with n = 0.25 and C = 300:

1. VTⁿ = C → T = (C/V)^(1/n)
2. T = (300 ÷ 100)^(1/0.25) = 81 min

Using the Taylor exponent

Because T = (C/V)^(1/n), tool life is very sensitive to speed: with n = 0.25 for carbide, a 10 % increase in speed cuts tool life by about 32 %. Typical exponents are about 0.1–0.15 for HSS, 0.2–0.3 for carbide and 0.4–0.6 for ceramics. In GATE problems, find n and C from two test points first, then use them for the new speed or life; check that both points use the same units of speed and time.

More Manufacturing and Industrial Engineering Calculators

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  t = L / (f N), MRR = V f d

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• PERT Calculator

  tₑ = (a + 4m + b)/6, σ² = ((b − a)/6)²

  z = (T − Σtₑ)/√Σσ² on the critical path

  Example: Critical-path activities (2, 4, 6), (3, 5, 9) and (4, 6, 8) with a target of 17: Expected project duration Te = 15.3333.

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• M/M/1 Queue Calculator

  L = ρ/(1 − ρ), W = 1/(μ − λ)

  ρ = λ/μ, Lq = ρ²/(1 − ρ), Wq = ρ/(μ − λ)

  Example: Customers arriving at 8 per hour to a server handling 10 per hour: Average number in the system L = 4.

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Frequently asked questions

Sources

Last reviewed: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.