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

✖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%
✖Reference Tool Life is the tool Life of the tool obtained in the reference machining condition.ⓘ Reference Tool Life [T_ref]			+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%
✖Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second.ⓘ Rotational Frequency of Spindle [n_s]			+10% -10%
✖Outside Radius of The Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.ⓘ Outside Radius of The Workpiece [r_o]			+10% -10%
✖The Feed is the distance of the cutting tool along the length of the work for every revolution of the spindle.ⓘ Feed [f]			+10% -10%
✖Process Time is the time for which any process has been carried out irrespective of its completion.ⓘ Process Time [t′]			+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%

✖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 given Feed and Time for Facing [V_ratio]

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Rate of Increase of Wear-Land given Feed and Time for Facing 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/(2*pi*Rotational Frequency of Spindle*(Outside Radius of The Workpiece-Rotational Frequency of Spindle*Feed*Process Time)))^(1/Taylor's Tool Life Exponent))
V_ratio = W_max/(T_ref*(V_ref/(2*pi*n_s*(r_o-n_s*f*t′)))^(1/n))
This formula uses 1 Constants, 9 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Rotational Frequency of Spindle - (Measured in Radian per Second) - Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second.
Outside Radius of The Workpiece - (Measured in Meter) - Outside Radius of The Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.
Feed - (Measured in Meter) - The Feed is the distance of the cutting tool along the length of the work for every revolution of the spindle.
Process Time - (Measured in Second) - Process Time is the time for which any process has been carried out irrespective of its completion.
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)
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)
Rotational Frequency of Spindle: 10 Radian per Second --> 10 Radian per Second No Conversion Required
Outside Radius of The Workpiece: 1000 Millimeter --> 1 Meter (Check conversion here)
Feed: 1.039456 Millimeter --> 0.001039456 Meter (Check conversion here)
Process Time: 1.6 Minute --> 96 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ratio = W_max/(T_ref*(V_ref/(2*pi*n_s*(r_o-n_s*f*t′)))^(1/n)) --> 0.0003125/(300*(0.0833333333333333/(2*pi*10*(1-10*0.001039456*96)))^(1/0.5))

Evaluating ... ...

V_ratio = 2.66710422580443E-06

STEP 3: Convert Result to Output's Unit

2.66710422580443E-06 Meter per Second -->0.160026253548266 Millimeter per Minute (Check conversion here)

FINAL ANSWER

0.160026253548266 ≈ 0.160026 Millimeter per Minute <-- Rate of Increase of Wear Land Width

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Facing Operation » Machine Tools and Operations » Wear Land » Rate of Increase of Wear-Land given Feed and Time for Facing

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Created by Kumar Siddhant

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

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National Institute of Technology (NIT), Srinagar

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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

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

LaTeX Go

Main Spindle Errors

Accuracy of spindle error measurement is affected by inherent error sources such as:
1. Sensor offset
2. Thermal drift of spindle
3. Centering error
4. Form error of the target surface installed in the spindle.

How to Calculate Rate of Increase of Wear-Land given Feed and Time for Facing?

Rate of Increase of Wear-Land given Feed and Time for Facing calculator uses 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)) to calculate the Rate of Increase of Wear Land Width, The Rate of Increase of Wear-Land given Feed and Time for Facing is a method to determine the rate of increase in the width of the region where wear occurs in a tool when the Tool Feed and Time for which Facing has been done is known. Rate of Increase of Wear Land Width is denoted by V_ratio symbol.

How to calculate Rate of Increase of Wear-Land given Feed and Time for Facing using this online calculator? To use this online calculator for Rate of Increase of Wear-Land given Feed and Time for Facing, enter Maximum Wear Land Width (W_max), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Rotational Frequency of Spindle (n_s), Outside Radius of The Workpiece (r_o), Feed (f), Process Time (t′) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Rate of Increase of Wear-Land given Feed and Time for Facing calculation can be explained with given input values -> 9601.575 = 0.0003125/(300*(0.0833333333333333/(2*pi*10*(1-10*0.001039456*96)))^(1/0.5)).

FAQ

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

The Rate of Increase of Wear-Land given Feed and Time for Facing is a method to determine the rate of increase in the width of the region where wear occurs in a tool when the Tool Feed and Time for which Facing has been done is known and is represented as V_ratio = W_max/(T_ref*(V_ref/(2*pi*n_s*(r_o-n_s*f*t′)))^(1/n)) or 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)). 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, Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second, Outside Radius of The Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool, The Feed is the distance of the cutting tool along the length of the work for every revolution of the spindle, Process Time is the time for which any process has been carried out irrespective of its completion & 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 given Feed and Time for Facing?

The Rate of Increase of Wear-Land given Feed and Time for Facing is a method to determine the rate of increase in the width of the region where wear occurs in a tool when the Tool Feed and Time for which Facing has been done is known is calculated using 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)). To calculate Rate of Increase of Wear-Land given Feed and Time for Facing, you need Maximum Wear Land Width (W_max), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Rotational Frequency of Spindle (n_s), Outside Radius of The Workpiece (r_o), Feed (f), Process Time (t′) & 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, Rotational Frequency of Spindle, Outside Radius of The Workpiece, Feed, Process Time & 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, Rotational Frequency of Spindle, Outside Radius of The Workpiece, Feed, Process Time & Taylor's Tool Life Exponent. We can use 2 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*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/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))

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