Taylor's Exponent of Feed 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%
✖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]			+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%
✖Maximum Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Maximum Tool Life [L_max]			+10% -10%
✖Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor Tool Life Exponent [y]			+10% -10%
✖Feed Rate is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate [f]			+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 of Feed [a]

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Taylor's Exponent of Feed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Exponent for Feed Rate in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity*Depth of Cut^Taylor's Exponent for Depth of Cut*Maximum Tool Life^Taylor Tool Life Exponent))/ln(Feed Rate)
a = ln(C/(V*d^b*L_max^y))/ln(f)
This formula uses 1 Functions, 8 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 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.
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).
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.
Maximum Tool Life - (Measured in Second) - Maximum Tool Life 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 - Taylor Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.

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
Depth of Cut: 0.013 Meter --> 0.013 Meter No Conversion Required
Taylor's Exponent for Depth of Cut: 0.24 --> No Conversion Required
Maximum Tool Life: 4500 Second --> 4500 Second No Conversion Required
Taylor Tool Life Exponent: 0.8466244 --> No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ln(C/(V*d^b*L_max^y))/ln(f) --> ln(85.13059/(0.833333*0.013^0.24*4500^0.8466244))/ln(0.0007)

Evaluating ... ...

a = 0.19999930332079

STEP 3: Convert Result to Output's Unit

0.19999930332079 --> No Conversion Required

FINAL ANSWER

0.19999930332079 ≈ 0.199999 <-- Taylor's Exponent for Feed Rate in Taylors Theory

(Calculation completed in 00.004 seconds)

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Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

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 Exponent of Feed Formula

LaTeX Go

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 Taylor's Exponent of Feed?

Taylor's Exponent of Feed calculator uses Taylor's Exponent for Feed Rate in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity*Depth of Cut^Taylor's Exponent for Depth of Cut*Maximum Tool Life^Taylor Tool Life Exponent))/ln(Feed Rate) to calculate the Taylor's Exponent for Feed Rate in Taylors Theory, Taylor's Exponent of Feed is a method to determine the experimental exponent for Feed after practical data of tool machining have been tabulated. Taylor's Exponent for Feed Rate in Taylors Theory is denoted by a symbol.

How to calculate Taylor's Exponent of Feed using this online calculator? To use this online calculator for Taylor's Exponent of Feed, enter Taylor's Constant (C), Cutting Velocity (V), Depth of Cut (d), Taylor's Exponent for Depth of Cut (b), Maximum Tool Life (L_max), Taylor Tool Life Exponent (y) & Feed Rate (f) and hit the calculate button. Here is how the Taylor's Exponent of Feed calculation can be explained with given input values -> 0.199999 = ln(85.13059/(0.833333*0.013^0.24*4500^0.8466244))/ln(0.0007).

FAQ

What is Taylor's Exponent of Feed?

Taylor's Exponent of Feed is a method to determine the experimental exponent for Feed after practical data of tool machining have been tabulated and is represented as a = ln(C/(V*d^b*L_max^y))/ln(f) or Taylor's Exponent for Feed Rate in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity*Depth of Cut^Taylor's Exponent for Depth of Cut*Maximum Tool Life^Taylor Tool Life Exponent))/ln(Feed Rate). 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), 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, Maximum Tool Life 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 is an experimental exponent that helps in quantifying the rate of tool wear & Feed Rate is defined as the tool's distance travelled during one spindle revolution.

How to calculate Taylor's Exponent of Feed?

Taylor's Exponent of Feed is a method to determine the experimental exponent for Feed after practical data of tool machining have been tabulated is calculated using Taylor's Exponent for Feed Rate in Taylors Theory = ln(Taylor's Constant/(Cutting Velocity*Depth of Cut^Taylor's Exponent for Depth of Cut*Maximum Tool Life^Taylor Tool Life Exponent))/ln(Feed Rate). To calculate Taylor's Exponent of Feed, you need Taylor's Constant (C), Cutting Velocity (V), Depth of Cut (d), Taylor's Exponent for Depth of Cut (b), Maximum Tool Life (L_max), Taylor Tool Life Exponent (y) & Feed Rate (f). With our tool, you need to enter the respective value for Taylor's Constant, Cutting Velocity, Depth of Cut, Taylor's Exponent for Depth of Cut, Maximum Tool Life, Taylor Tool Life Exponent & Feed Rate 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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