Taylor's Exponent of Feed 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%
✖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%
✖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 [T_max]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+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 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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Formula

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Taylor's Exponent of Feed

Formula

`"a" = ln("C"/("V"*"d"_{"cut"}^"b"*"T"_{"max"}^"n"))/ln("f")`

Example

`"0.2"=ln("85.13059"/("50m/min"*("13mm")^"0.24"*("75.000001min")^".846625"))/ln("0.70mm/rev")`

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Taylor's Exponent of Feed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
a = ln(C/(V*d_cut^b*T_max^n))/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 - Taylor's exponent for Feed Rate is an experimental exponent used to draw a relation between feed rate to Workpiece and Tool Life.
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).
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's Tool Life Exponent - Taylor's 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 Intercept or Taylor's Constant: 85.13059 --> No Conversion Required
Cutting Velocity: 50 Meter per Minute --> 0.833333333333333 Meter per Second (Check conversion here)
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)
Taylor's exponent for Depth of Cut: 0.24 --> No Conversion Required
Maximum Tool Life: 75.000001 Minute --> 4500.00006 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.846625 --> 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_cut^b*T_max^n))/ln(f) --> ln(85.13059/(0.833333333333333*0.013^0.24*4500.00006^0.846625))/ln(0.0007)

Evaluating ... ...

a = 0.200000054706357

STEP 3: Convert Result to Output's Unit

0.200000054706357 --> No Conversion Required

FINAL ANSWER

0.200000054706357 ≈ 0.2 <-- Taylor's exponent for Feed Rate

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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

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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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 Exponent of Feed 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 Taylor's Exponent of Feed?

Taylor's Exponent of Feed calculator uses 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) to calculate the Taylor's exponent for Feed Rate, 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 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 Intercept or Taylor's Constant (C), Cutting Velocity (V), Depth of Cut (d_cut), Taylor's exponent for Depth of Cut (b), Maximum Tool Life (T_max), Taylor's Tool Life Exponent (n) & 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 -> 0.2 = ln(85.13059/(0.833333333333333*0.013^0.24*4500.00006^0.846625))/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_cut^b*T_max^n))/ln(f) or 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 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), 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's 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 = 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). To calculate Taylor's Exponent of Feed, you need Taylor's Intercept or Taylor's Constant (C), Cutting Velocity (V), Depth of Cut (d_cut), Taylor's exponent for Depth of Cut (b), Maximum Tool Life (T_max), Taylor's Tool Life Exponent (n) & Feed Rate (f). With our tool, you need to enter the respective value for 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 & 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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