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

✖Taylor's Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.ⓘ Taylor's Intercept or Taylor's Constant [C]			+10% -10%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%

✖Taylor's Tool Life Exponent for Cutting Velocity 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_cutting]

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Formula

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

Formula

`"n"_{"cutting"} = ln("C"/"V")/"T"`

Example

`"0.001028"=ln("85.13059"/"50m/min")/"75min"`

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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 for Cutting Velocity = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life
n_cutting = ln(C/V)/T
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 for Cutting Velocity - Taylor's Tool Life Exponent for Cutting Velocity is an experimental exponent that helps in quantifying the rate of Tool Wear.
Taylor's Intercept or Taylor's Constant - Taylor's Intercept or 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) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Tool Life - (Measured in Second) - Tool Life 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 Intercept or Taylor's Constant: 85.13059 --> No Conversion Required
Cutting Velocity: 50 Meter per Minute --> 0.833333333333333 Meter per Second (Check conversion here)
Tool Life: 75 Minute --> 4500 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_cutting = ln(C/V)/T --> ln(85.13059/0.833333333333333)/4500

Evaluating ... ...

n_cutting = 0.00102811288605393

STEP 3: Convert Result to Output's Unit

0.00102811288605393 --> No Conversion Required

FINAL ANSWER

0.00102811288605393 ≈ 0.001028 <-- Taylor's Tool Life Exponent for Cutting Velocity

(Calculation completed in 00.004 seconds)

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

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< 10+ Taylor's Theory Calculators

Taylor's Exponent of Depth of Cut

Go Taylor's exponent for Depth of Cut = ln(Taylor's Intercept or Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's exponent for Feed Rate)*(Maximum Tool Life^Taylor's Tool Life Exponent)))/ln(Depth of Cut)

Taylor's Exponent of Feed

Go Taylor's exponent for Feed Rate = ln(Taylor's Intercept or Taylor's Constant/(Cutting Velocity*Depth of Cut^Taylor's exponent for Depth of Cut*Maximum Tool Life^Taylor's Tool Life Exponent))/ln(Feed Rate)

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

Go Taylor's Tool Life Exponent = ln(Taylor's Intercept or Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)))/ln(Tool Life)

Taylor's Tool Life given Cutting Velocity and Taylor's Intercept

Go Tool Life = (Taylor's Intercept or Taylor's Constant/(Cutting Velocity*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)))^(1/Taylor's Tool Life Exponent)

Feed given Taylor's Tool Life, Cutting Velocity, and Intercept

Go Feed Rate = (Taylor's Intercept or Taylor's Constant/(Cutting Velocity*(Depth of Cut^Taylor's exponent for Depth of Cut)*(Tool Life^Taylor's Tool Life Exponent)))^(1/Taylor's exponent for Feed Rate)

Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept

Go Depth of Cut = (Taylor's Intercept or Taylor's Constant/(Cutting Velocity*Feed Rate^Taylor's exponent for Feed Rate*Tool Life^Taylor's Tool Life Exponent))^(1/Taylor's exponent for Depth of Cut)

Taylor's Intercept given Cutting Velocity and Tool Life

Go Taylor's Intercept or Taylor's Constant = Cutting Velocity*(Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)

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

Go Taylor's Tool Life Exponent for Cutting Velocity = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life

Taylor's Exponent if ratios of Cutting Velocities, Tool Lives are given in two machining conditions

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

Taylor's Tool Life given Cutting Velocity and Intercept

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

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

Taylor's Tool Life Exponent for Cutting Velocity = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life
n_cutting = ln(C/V)/T

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 for Cutting Velocity = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life to calculate the Taylor's Tool Life Exponent for Cutting Velocity, 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 for Cutting Velocity is denoted by n_cutting 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 Intercept or Taylor's Constant (C), Cutting Velocity (V) & Tool Life (T) 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 -> 0.001028 = ln(85.13059/0.833333333333333)/4500.

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_cutting = ln(C/V)/T or Taylor's Tool Life Exponent for Cutting Velocity = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life. Taylor's Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Tool Life 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 for Cutting Velocity = ln(Taylor's Intercept or Taylor's Constant/Cutting Velocity)/Tool Life. To calculate Taylor's Tool Life Exponent given Cutting Velocity and Tool Life, you need Taylor's Intercept or Taylor's Constant (C), Cutting Velocity (V) & Tool Life (T). With our tool, you need to enter the respective value for Taylor's Intercept or Taylor's Constant, Cutting Velocity & Tool Life 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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