Tool Life Exponent given Rate of Increase of Wear-Land Width Calculator

✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+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%
✖Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.ⓘ Maximum Wear Land Width [W_max]			+10% -10%
✖Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time.ⓘ Rate of Increase of Wear Land Width [V_ratio]			+10% -10%
✖Reference Tool Life is the tool Life of the tool obtained in the reference machining condition.ⓘ Reference Tool Life [T_ref]			+10% -10%

✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Tool Life Exponent given Rate of Increase of Wear-Land Width [n]

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Tool Life Exponent given Rate of Increase of Wear-Land Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Tool Life Exponent = ln(Reference Cutting Velocity/Cutting Velocity)/ln(Maximum Wear Land Width/(Rate of Increase of Wear Land Width*Reference Tool Life))
n = ln(V_ref/V)/ln(W_max/(V_ratio*T_ref))
This formula uses 1 Functions, 6 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 - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining Condition.
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).
Maximum Wear Land Width - (Measured in Meter) - Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.
Rate of Increase of Wear Land Width - (Measured in Meter per Second) - Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the tool Life of the tool obtained in the reference machining condition.

STEP 1: Convert Input(s) to Base Unit

Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
Maximum Wear Land Width: 0.3125 Millimeter --> 0.0003125 Meter (Check conversion here)
Rate of Increase of Wear Land Width: 0.16 Millimeter per Minute --> 2.66666666666667E-06 Meter per Second (Check conversion here)
Reference Tool Life: 5 Minute --> 300 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = ln(V_ref/V)/ln(W_max/(V_ratio*T_ref)) --> ln(0.0833333333333333/0.133333333333333)/ln(0.0003125/(2.66666666666667E-06*300))

Evaluating ... ...

n = 0.499999999999997

STEP 3: Convert Result to Output's Unit

0.499999999999997 --> No Conversion Required

FINAL ANSWER

0.499999999999997 ≈ 0.5 <-- Taylor's Tool Life Exponent

(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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< Wear Land Calculators

Maximum Wear-Land Width given Rate of Increase of Wear-Land Width

LaTeX Go Maximum Wear Land Width = Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))

Machining Time given Maximum Wear-Land Width

LaTeX Go Machining Time = Increase in Wear Land Width Per Component*Tool Life/Maximum Wear Land Width

Increase in Wear-Land Width per Component

LaTeX Go Increase in Wear Land Width Per Component = Maximum Wear Land Width*Machining Time/Tool Life

Maximum Wear-Land Width

LaTeX Go Maximum Wear Land Width = Increase in Wear Land Width Per Component*Tool Life/Machining Time

Tool Life Exponent given Rate of Increase of Wear-Land Width Formula

LaTeX Go

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Tool Life Exponent given Rate of Increase of Wear-Land Width?

Tool Life Exponent given Rate of Increase of Wear-Land Width calculator uses Taylor's Tool Life Exponent = ln(Reference Cutting Velocity/Cutting Velocity)/ln(Maximum Wear Land Width/(Rate of Increase of Wear Land Width*Reference Tool Life)) to calculate the Taylor's Tool Life Exponent, The Tool Life Exponent given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the Current condition when Rate of Increase of Wear-Land Width is given. Taylor's Tool Life Exponent is denoted by n symbol.

How to calculate Tool Life Exponent given Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Tool Life Exponent given Rate of Increase of Wear-Land Width, enter Reference Cutting Velocity (V_ref), Cutting Velocity (V), Maximum Wear Land Width (W_max), Rate of Increase of Wear Land Width (V_ratio) & Reference Tool Life (T_ref) and hit the calculate button. Here is how the Tool Life Exponent given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 0.5 = ln(0.0833333333333333/0.133333333333333)/ln(0.0003125/(2.66666666666667E-06*300)).

FAQ

What is Tool Life Exponent given Rate of Increase of Wear-Land Width?

The Tool Life Exponent given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the Current condition when Rate of Increase of Wear-Land Width is given and is represented as n = ln(V_ref/V)/ln(W_max/(V_ratio*T_ref)) or Taylor's Tool Life Exponent = ln(Reference Cutting Velocity/Cutting Velocity)/ln(Maximum Wear Land Width/(Rate of Increase of Wear Land Width*Reference Tool Life)). Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining Condition, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating), Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool, Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time & Reference Tool Life is the tool Life of the tool obtained in the reference machining condition.

How to calculate Tool Life Exponent given Rate of Increase of Wear-Land Width?

The Tool Life Exponent given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the Current condition when Rate of Increase of Wear-Land Width is given is calculated using Taylor's Tool Life Exponent = ln(Reference Cutting Velocity/Cutting Velocity)/ln(Maximum Wear Land Width/(Rate of Increase of Wear Land Width*Reference Tool Life)). To calculate Tool Life Exponent given Rate of Increase of Wear-Land Width, you need Reference Cutting Velocity (V_ref), Cutting Velocity (V), Maximum Wear Land Width (W_max), Rate of Increase of Wear Land Width (V_ratio) & Reference Tool Life (T_ref). With our tool, you need to enter the respective value for Reference Cutting Velocity, Cutting Velocity, Maximum Wear Land Width, Rate of Increase of Wear Land Width & Reference 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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