Feed given Taylor's Tool Life, Cutting Velocity, and Intercept 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%
✖The Cutting Velocity or Tangential Velocity is the velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity or Tangential Velocity [V_ct]			+10% -10%
✖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.ⓘ Depth of Cut [d_cut]			+10% -10%
✖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's Exponent For Depth of Cut [b]			+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_t]			+10% -10%
✖Taylor Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor Tool Life Exponent in Taylors Theory [y]			+10% -10%
✖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.ⓘ Taylor's Exponent For Feed Rate in Taylors Theory [a]			+10% -10%

✖Feed Rate in Taylors Theory is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed given Taylor's Tool Life, Cutting Velocity, and Intercept [f_t]

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Formula

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

Formula

`"f"_{"t"} = ("C"/("V"_{"ct"}*("d"_{"cut"}^"b")*("L"_{"t"}^"y")))^(1/"a")`

Example

`"0.882815mm/rev"=("85.13059"/("0.8333330m/s"*(("0.013m")^"0.24")*(("4260s")^".8466244")))^(1/"0.2")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
f_t = (C/(V_ct*(d_cut^b)*(L_t^y)))^(1/a)
This formula uses 8 Variables

Variables Used

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 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).
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.
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 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.
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.

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
Depth of Cut: 0.013 Meter --> 0.013 Meter No Conversion Required
Taylor's Exponent For Depth of Cut: 0.24 --> No Conversion Required
Tool Life in Taylors Theory: 4260 Second --> 4260 Second No Conversion Required
Taylor Tool Life Exponent in Taylors Theory: 0.8466244 --> No Conversion Required
Taylor's Exponent For Feed Rate in Taylors Theory: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_t = (C/(V_ct*(d_cut^b)*(L_t^y)))^(1/a) --> (85.13059/(0.833333*(0.013^0.24)*(4260^0.8466244)))^(1/0.2)

Evaluating ... ...

f_t = 0.00088281493466273

STEP 3: Convert Result to Output's Unit

0.00088281493466273 Meter Per Revolution -->0.88281493466273 Millimeter Per Revolution (Check conversion here)

FINAL ANSWER

0.88281493466273 ≈ 0.882815 Millimeter Per Revolution <-- Feed Rate in Taylors Theory

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Tool Life and Tool Wear » Taylor's Theory » Feed given Taylor's Tool Life, Cutting Velocity, and Intercept

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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)

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

Modified Taylor's Tool Life Equation and Effects of Feed on Tool Life.

The modified Taylor's Tool Life equation is given as:
VTⁿf^ad^b=C
Tool Life varies with feed rate. At a low feed rate, the area of the chip that passes across the tool surfaces will be relatively large for a given volume cut, and relatively small for a high feed rate. From this, it seems that tool life should increase with the increase in feed rate, but as the cutting forces on tools also increase with the increase in feed rate, it leads to decreased tool life. Thus these two opposing influences of the feed rate upon tool give rise to an optimum rate of feed which is about 0.25 to 0.50 mm/rev.

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

Feed given Taylor's Tool Life, Cutting Velocity, and Intercept calculator uses 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) to calculate the Feed Rate in Taylors Theory, The Feed given Taylor's Tool Life, Cutting Velocity, and Intercept is a method to determine the maximum Feed that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity. Feed Rate in Taylors Theory is denoted by f_t symbol.

How to calculate Feed given Taylor's Tool Life, Cutting Velocity, and Intercept using this online calculator? To use this online calculator for Feed given Taylor's Tool Life, Cutting Velocity, and Intercept, enter Taylor's Constant (C), Cutting Velocity or Tangential Velocity (V_ct), Depth of Cut (d_cut), Taylor's Exponent For Depth of Cut (b), Tool Life in Taylors Theory (L_t), Taylor Tool Life Exponent in Taylors Theory (y) & Taylor's Exponent For Feed Rate in Taylors Theory (a) and hit the calculate button. Here is how the Feed given Taylor's Tool Life, Cutting Velocity, and Intercept calculation can be explained with given input values -> 882.8149 = (85.13059/(0.833333*(0.013^0.24)*(4260^0.8466244)))^(1/0.2).

FAQ

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

The Feed given Taylor's Tool Life, Cutting Velocity, and Intercept is a method to determine the maximum Feed that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity and is represented as f_t = (C/(V_ct*(d_cut^b)*(L_t^y)))^(1/a) or 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). 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), 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, 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 Tool Life Exponent in Taylors Theory is an experimental exponent that helps in quantifying the rate of tool wear & 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.

How to calculate Feed given Taylor's Tool Life, Cutting Velocity, and Intercept?

The Feed given Taylor's Tool Life, Cutting Velocity, and Intercept is a method to determine the maximum Feed that can be applied on the Workpiece to get a specified Tool Life under a given Cutting Velocity is calculated using 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). To calculate Feed given Taylor's Tool Life, Cutting Velocity, and Intercept, you need Taylor's Constant (C), Cutting Velocity or Tangential Velocity (V_ct), Depth of Cut (d_cut), Taylor's Exponent For Depth of Cut (b), Tool Life in Taylors Theory (L_t), Taylor Tool Life Exponent in Taylors Theory (y) & Taylor's Exponent For Feed Rate in Taylors Theory (a). With our tool, you need to enter the respective value for 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 & Taylor's Exponent For Feed Rate 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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