Taylor's Tool Life Exponent given Cutting Velocity and Tool Life Calculator

✖Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.ⓘ Taylor's Constant [C]			+10% -10%
✖Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life in Taylors Theory [L]			+10% -10%

✖Taylor's Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor's Tool Life Exponent given Cutting Velocity and Tool Life [n'_cut]

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Taylor's Tool Life Exponent given Cutting Velocity and Tool Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory
n'_cut = ln(C/V)/L
This formula uses 1 Functions, 4 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Taylor's Tool Life Exponent in Taylors Theory - Taylor's Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.
Taylor's Constant - Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.
Cutting Velocity - (Measured in Meter per Second) - Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).
Tool Life in Taylors Theory - (Measured in Second) - Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

STEP 1: Convert Input(s) to Base Unit

Taylor's Constant: 85.13059 --> No Conversion Required
Cutting Velocity: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Tool Life in Taylors Theory: 1.18 Hour --> 4248 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n'_cut = ln(C/V)/L --> ln(85.13059/0.833333)/4248

Evaluating ... ...

n'_cut = 0.00108910272769368

STEP 3: Convert Result to Output's Unit

0.00108910272769368 --> No Conversion Required

FINAL ANSWER

0.00108910272769368 ≈ 0.001089 <-- Taylor's Tool Life Exponent in Taylors Theory

(Calculation completed in 00.006 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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National Institute of Technology (NIT), Srinagar

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< Taylor's Theory Calculators

Taylor's Tool Life Exponent using Cutting Velocity and Taylor's Tool Life

LaTeX Go Taylor Tool Life Exponent = ln(Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut)))/ln(Tool Life in Taylors Theory)

Taylor's Intercept given Cutting Velocity and Tool Life

LaTeX Go Taylor's Constant = Cutting Velocity*(Tool Life in Taylors Theory^Taylor Tool Life Exponent)*(Feed Rate^Taylor's Exponent for Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent for Depth of Cut)

Taylor's Exponent if Ratios of Cutting Velocities, Tool Lives are given in Two Machining Conditions

LaTeX Go Taylor Tool Life Exponent = (-1)*ln(Ratio of Cutting Velocities)/ln(Ratio of Tool Lives)

Taylor's Tool Life given Cutting Velocity and Intercept

LaTeX Go Taylor's Tool Life = (Taylor's Constant/Cutting Velocity)^(1/Taylor Tool Life Exponent)

Taylor's Tool Life Exponent given Cutting Velocity and Tool Life Formula

LaTeX Go

Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory
n'_cut = ln(C/V)/L

Taylor's Tool Life Equation

This relationship is credited to F. W. Taylor (~1900). It gives the relation between cutting speed and tool life.
VTⁿ = C
where V= Cutting Velocity, T= Tool Life, n and C are Taylor's Constant.

How to Calculate Taylor's Tool Life Exponent given Cutting Velocity and Tool Life?

Taylor's Tool Life Exponent given Cutting Velocity and Tool Life calculator uses Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory to calculate the Taylor's Tool Life Exponent in Taylors Theory, The Taylor's Tool Life Exponent given Cutting Velocity and Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated. Taylor's Tool Life Exponent in Taylors Theory is denoted by n'_cut symbol.

How to calculate Taylor's Tool Life Exponent given Cutting Velocity and Tool Life using this online calculator? To use this online calculator for Taylor's Tool Life Exponent given Cutting Velocity and Tool Life, enter Taylor's Constant (C), Cutting Velocity (V) & Tool Life in Taylors Theory (L) and hit the calculate button. Here is how the Taylor's Tool Life Exponent given Cutting Velocity and Tool Life calculation can be explained with given input values -> 0.001086 = ln(85.13059/0.833333)/4248.

FAQ

What is Taylor's Tool Life Exponent given Cutting Velocity and Tool Life?

The Taylor's Tool Life Exponent given Cutting Velocity and Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated and is represented as n'_cut = ln(C/V)/L or Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory. Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, Cutting Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating) & Tool Life in Taylors Theory is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

How to calculate Taylor's Tool Life Exponent given Cutting Velocity and Tool Life?

The Taylor's Tool Life Exponent given Cutting Velocity and Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated is calculated using Taylor's Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/Cutting Velocity)/Tool Life in Taylors Theory. To calculate Taylor's Tool Life Exponent given Cutting Velocity and Tool Life, you need Taylor's Constant (C), Cutting Velocity (V) & Tool Life in Taylors Theory (L). With our tool, you need to enter the respective value for Taylor's Constant, Cutting Velocity & Tool Life in Taylors Theory and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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