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
ncutting = 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
ncutting = ln(C/V)/T --> ln(85.13059/0.833333333333333)/4500
Evaluating ... ...
ncutting = 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 00.020 seconds)

Credits

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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4 Tool Life Calculators

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)
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
Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition
Go Tool Life = Reference Tool Life*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)
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
ncutting = 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 ncutting 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 ncutting = 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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