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

✖Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.ⓘ Maximum Wear Land Width [VB_m]			+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 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%
✖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%

✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life given Rate of Increase of Wear-Land Width [T_ref]

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Formula

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Reference Tool Life given Rate of Increase of Wear-Land Width

Formula

`"T"_{"ref"} = "VB"_{"m"}/("V"_{"ratio"}*(("V"_{"ref"}/"V")^(1/"n")))`

Example

`"5min"="0.3125mm"/("0.16mm/min"*(("5000mm/min"/"8000mm/min")^(1/"0.5")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Reference Tool Life = Maximum Wear Land Width/(Rate of Increase of Wear Land Width*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))
T_ref = VB_m/(V_ratio*((V_ref/V)^(1/n)))
This formula uses 6 Variables

Variables Used

Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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 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).
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

STEP 1: Convert Input(s) to Base Unit

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 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)
Taylor's Tool Life Exponent: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ref = VB_m/(V_ratio*((V_ref/V)^(1/n))) --> 0.0003125/(2.66666666666667E-06*((0.0833333333333333/0.133333333333333)^(1/0.5)))

Evaluating ... ...

T_ref = 299.999999999998

STEP 3: Convert Result to Output's Unit

299.999999999998 Second -->4.99999999999997 Minute (Check conversion here)

FINAL ANSWER

4.99999999999997 ≈ 5 Minute <-- Reference Tool Life

(Calculation completed in 00.004 seconds)

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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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< 13 Wear Land Calculators

Rate of Increase of Wear-Land given Feed and Time for Facing

Go Rate of Increase of Wear Land Width = Maximum Wear Land Width/(Reference Tool Life*((Reference Cutting Velocity/(2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)))^(1/Taylor's Tool Life Exponent)))

Rate of Increase of Wear-Land given Rotational Frequency of Spindle

Go Rate of Increase of Wear Land Width = Maximum Wear Land Width/(Reference Tool Life*((Reference Cutting Velocity/(2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut))^(1/Taylor's Tool Life Exponent)))

Rotational Frequency of Spindle given Rate of Increase of Wear-Land

Go Rotational Frequency of Spindle = (Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent))/(2*pi*Instantaneous Radius for Cut)

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

Go Increase in Wear Land Width per Component = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life

Tool Life given Rate of Increase of Wear-Land Width

Go Tool Life = Machining Time*Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width Per Component

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

Go 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 Tool Life given Rate of Increase of Wear-Land Width

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

Rate of Increase of Wear-Land Width

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

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

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))

Maximum Wear-Land Width

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

Machining Time given Maximum Wear-Land Width

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

Increase in Wear-Land Width per Component

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

Tool Life given Maximum Wear-Land Width

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

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

What is Reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

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

Reference Tool Life given Rate of Increase of Wear-Land Width calculator uses Reference Tool Life = Maximum Wear Land Width/(Rate of Increase of Wear Land Width*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))) to calculate the Reference Tool Life, The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given. Reference Tool Life is denoted by T_ref symbol.

How to calculate Reference Tool Life given Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Reference Tool Life given Rate of Increase of Wear-Land Width, enter Maximum Wear Land Width (VB_m), Rate of Increase of Wear Land Width (V_ratio), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Reference Tool Life given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 0.085333 = 0.0003125/(2.66666666666667E-06*((0.0833333333333333/0.133333333333333)^(1/0.5))).

FAQ

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

The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given and is represented as T_ref = VB_m/(V_ratio*((V_ref/V)^(1/n))) or Reference Tool Life = Maximum Wear Land Width/(Rate of Increase of Wear Land Width*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))). 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 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) & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

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

The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given is calculated using Reference Tool Life = Maximum Wear Land Width/(Rate of Increase of Wear Land Width*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))). To calculate Reference Tool Life given Rate of Increase of Wear-Land Width, you need Maximum Wear Land Width (VB_m), Rate of Increase of Wear Land Width (V_ratio), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Maximum Wear Land Width, Rate of Increase of Wear Land Width, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent 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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