Rate of Increase of Wear-Land Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
dVBdtratio = VBm/(Tref*((Vref/V)^(1/n)))
This formula uses 6 Variables
Variables Used
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.
Maximum Wear Land Width - (Measured in Meter) - Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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: 0.32 Millimeter --> 0.00032 Meter (Check conversion here)
Reference Tool Life: 5 Minute --> 300 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
dVBdtratio = VBm/(Tref*((Vref/V)^(1/n))) --> 0.00032/(300*((0.0833333333333333/0.133333333333333)^(1/0.5)))
Evaluating ... ...
dVBdtratio = 2.73066666666666E-06
STEP 3: Convert Result to Output's Unit
2.73066666666666E-06 Meter per Second -->0.163839999999999 Millimeter per Minute (Check conversion here)
FINAL ANSWER
0.163839999999999 0.16384 Millimeter per Minute <-- Rate of Increase of Wear Land Width
(Calculation completed in 00.004 seconds)

Credits

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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3 Rate of Increase of 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)))
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)))

7 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)))
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
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
Increase in Wear-Land Width per Component
Go Increase in Wear Land Width per Component = Maximum Wear Land Width*Machining Time/Tool Life

Rate of Increase of Wear-Land Width Formula

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)))
dVBdtratio = VBm/(Tref*((Vref/V)^(1/n)))

What causes flank wear?

Flank Wear is most commonly caused due to abrasive wear of the cutting edge against the machined surface. Flank Wear generally occurs when the speed of cutting is very high. It causes many losses but one of the most concerning is the increased roughness of the surface of the final product.

How to Calculate Rate of Increase of Wear-Land Width?

Rate of Increase of Wear-Land Width calculator uses 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))) to calculate the Rate of Increase of Wear Land Width, The Rate of Increase of Wear-Land Width is defined as the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining. Rate of Increase of Wear Land Width is denoted by dVBdtratio symbol.

How to calculate Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Rate of Increase of Wear-Land Width, enter Maximum Wear Land Width (VBm), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 9830.4 = 0.00032/(300*((0.0833333333333333/0.133333333333333)^(1/0.5))).

FAQ

What is Rate of Increase of Wear-Land Width?
The Rate of Increase of Wear-Land Width is defined as the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining and is represented as dVBdtratio = VBm/(Tref*((Vref/V)^(1/n))) or 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 is the maximum width of the region where wear occurs in a tool, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, 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 Rate of Increase of Wear-Land Width?
The Rate of Increase of Wear-Land Width is defined as the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining is calculated using 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))). To calculate Rate of Increase of Wear-Land Width, you need Maximum Wear Land Width (VBm), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Maximum Wear Land Width, Reference Tool Life, 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.
How many ways are there to calculate Rate of Increase of Wear Land Width?
In this formula, Rate of Increase of Wear Land Width uses Maximum Wear Land Width, Reference Tool Life, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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 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)))
  • 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 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)))
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