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

STEP 0: Pre-Calculation Summary
Formula Used
Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent in Taylors Theory)
Lt = (C/(Vct*(frate^a)*(dcut^b)))^(1/y)
This formula uses 8 Variables
Variables Used
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.
Taylor's Constant - Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.
Cutting Velocity or Tangential Velocity - (Measured in Meter per Second) - The Cutting Velocity or Tangential Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).
Feed Rate in Taylors Theory - (Measured in Meter Per Revolution) - Feed Rate in Taylors Theory is defined as the tool's distance travelled during one spindle revolution.
Taylor's Exponent For Feed Rate in Taylors Theory - Taylor's Exponent For Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Taylor's Exponent For Depth of Cut - Taylor's Exponent For Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.
Taylor Tool Life Exponent in Taylors Theory - Taylor Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.
STEP 1: Convert Input(s) to Base Unit
Taylor's Constant: 85.13059 --> No Conversion Required
Cutting Velocity or Tangential Velocity: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Feed Rate in Taylors Theory: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion ​here)
Taylor's Exponent For Feed Rate in Taylors Theory: 0.2 --> No Conversion Required
Depth of Cut: 0.013 Meter --> 0.013 Meter No Conversion Required
Taylor's Exponent For Depth of Cut: 0.24 --> No Conversion Required
Taylor Tool Life Exponent in Taylors Theory: 0.8466244 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lt = (C/(Vct*(frate^a)*(dcut^b)))^(1/y) --> (85.13059/(0.833333*(0.0007^0.2)*(0.013^0.24)))^(1/0.8466244)
Evaluating ... ...
Lt = 4500.02690031949
STEP 3: Convert Result to Output's Unit
4500.02690031949 Second --> No Conversion Required
FINAL ANSWER
4500.02690031949 4500.027 Second <-- Tool Life in Taylors Theory
(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 Tool Life Exponent using Cutting Velocity and Taylor's Tool Life
​ Go Taylor Tool Life Exponent in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^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 Exponent of Depth of Cut
​ Go Taylor's Exponent For Depth of Cut = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Maximum Tool Life^Taylor Tool Life Exponent in Taylors Theory)))/ln(Depth of Cut)
Taylor's Exponent of Feed
​ Go Taylor's Exponent For Feed Rate in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity or Tangential Velocity*Depth of Cut^Taylor's Exponent For Depth of Cut*Maximum Tool Life^Taylor Tool Life Exponent in Taylors Theory))/ln(Feed Rate in Taylors Theory)
Taylor's Tool Life given Cutting Velocity and Taylor's Intercept
​ Go Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent in Taylors Theory)
Feed given Taylor's Tool Life, Cutting Velocity, and Intercept
​ Go Feed Rate in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Depth of Cut^Taylor's Exponent For Depth of Cut)*(Tool Life in Taylors Theory^Taylor Tool Life Exponent in Taylors Theory)))^(1/Taylor's Exponent For Feed Rate in Taylors Theory)
Depth of Cut for given Taylor's Tool Life, Cutting Velocity and Intercept
​ Go Depth of Cut = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory*Tool Life in Taylors Theory^Taylor Tool Life Exponent in Taylors Theory))^(1/Taylor's Exponent For Depth of Cut)
Taylor's Intercept given Cutting Velocity and Tool Life
​ Go Taylor's Constant = Cutting Velocity or Tangential Velocity*(Tool Life in Taylors Theory^Taylor Tool Life Exponent in Taylors Theory)*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(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 in Taylors Theory = ln(Taylor's Constant/Cutting Velocity or Tangential Velocity)/Tool Life in Taylors Theory
Taylor's Exponent if ratios of Cutting Velocities, Tool Lives are given in two machining conditions
​ Go Taylor Tool Life Exponent in Taylors Theory = (-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 Constant/Cutting Velocity or Tangential Velocity)^(1/Taylor Tool Life Exponent in Taylors Theory)

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

Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent in Taylors Theory)
Lt = (C/(Vct*(frate^a)*(dcut^b)))^(1/y)

Modified Taylor's Tool Life Equation

The modified Taylor's Tool Life equation is given as:
VTnfadb=C
where V= Cutting Velocity, T= Tool Life, f= Feed Rate, d= Depth of Cut, and n,a,b,C are Taylor's experimental constants.

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

Taylor's Tool Life given Cutting Velocity and Taylor's Intercept calculator uses Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent in Taylors Theory) to calculate the Tool Life in Taylors Theory, The Taylor's Tool Life given Cutting Velocity and Taylor's Intercept is a theoretical method to predict the approximate time period required between sharpening of Tool when it is used to the machine at a constant speed, feed, and depth of cut. Tool Life in Taylors Theory is denoted by Lt symbol.

How to calculate Taylor's Tool Life given Cutting Velocity and Taylor's Intercept using this online calculator? To use this online calculator for Taylor's Tool Life given Cutting Velocity and Taylor's Intercept, enter Taylor's Constant (C), Cutting Velocity or Tangential Velocity (Vct), Feed Rate in Taylors Theory (frate), Taylor's Exponent For Feed Rate in Taylors Theory (a), Depth of Cut (dcut), Taylor's Exponent For Depth of Cut (b) & Taylor Tool Life Exponent in Taylors Theory (y) and hit the calculate button. Here is how the Taylor's Tool Life given Cutting Velocity and Taylor's Intercept calculation can be explained with given input values -> 4500.027 = (85.13059/(0.833333*(0.0007^0.2)*(0.013^0.24)))^(1/0.8466244).

FAQ

What is Taylor's Tool Life given Cutting Velocity and Taylor's Intercept?
The Taylor's Tool Life given Cutting Velocity and Taylor's Intercept is a theoretical method to predict the approximate time period required between sharpening of Tool when it is used to the machine at a constant speed, feed, and depth of cut and is represented as Lt = (C/(Vct*(frate^a)*(dcut^b)))^(1/y) or Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent in Taylors Theory). Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, The Cutting Velocity or Tangential Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating), Feed Rate in Taylors Theory is defined as the tool's distance travelled during one spindle revolution, Taylor's Exponent For Feed Rate in Taylors Theory is an experimental exponent used to draw a relation between feed rate to workpiece and tool life, Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction, Taylor's Exponent For Depth of Cut is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life & Taylor Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.
How to calculate Taylor's Tool Life given Cutting Velocity and Taylor's Intercept?
The Taylor's Tool Life given Cutting Velocity and Taylor's Intercept is a theoretical method to predict the approximate time period required between sharpening of Tool when it is used to the machine at a constant speed, feed, and depth of cut is calculated using Tool Life in Taylors Theory = (Taylor's Constant/(Cutting Velocity or Tangential Velocity*(Feed Rate in Taylors Theory^Taylor's Exponent For Feed Rate in Taylors Theory)*(Depth of Cut^Taylor's Exponent For Depth of Cut)))^(1/Taylor Tool Life Exponent in Taylors Theory). To calculate Taylor's Tool Life given Cutting Velocity and Taylor's Intercept, you need Taylor's Constant (C), Cutting Velocity or Tangential Velocity (Vct), Feed Rate in Taylors Theory (frate), Taylor's Exponent For Feed Rate in Taylors Theory (a), Depth of Cut (dcut), Taylor's Exponent For Depth of Cut (b) & Taylor Tool Life Exponent in Taylors Theory (y). With our tool, you need to enter the respective value for Taylor's Constant, Cutting Velocity or Tangential Velocity, Feed Rate in Taylors Theory, Taylor's Exponent For Feed Rate in Taylors Theory, Depth of Cut, Taylor's Exponent For Depth of Cut & Taylor Tool Life Exponent 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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