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)))
dVBdtratio = VBm/(Tref*((Vref/(2*pi*ns*(ro-ns*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 Hertz) - 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 the cutting tool advances 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: 0.32 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)
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
Outside Radius of the Workpiece: 1000 Millimeter --> 1 Meter (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 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
dVBdtratio = VBm/(Tref*((Vref/(2*pi*ns*(ro-ns*f*t′)))^(1/n))) --> 0.00032/(300*((0.0833333333333333/(2*pi*10*(1-10*0.0009*96)))^(1/0.5)))
Evaluating ... ...
dVBdtratio = 0.0112157615924766
STEP 3: Convert Result to Output's Unit
0.0112157615924766 Meter per Second -->672.945695548598 Millimeter per Minute (Check conversion here)
FINAL ANSWER
672.945695548598 672.9457 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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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 given Feed and Time for Facing Formula

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)))
dVBdtratio = VBm/(Tref*((Vref/(2*pi*ns*(ro-ns*f*t′)))^(1/n)))

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 dVBdtratio 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 (VBm), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Rotational Frequency of Spindle (ns), Outside Radius of the Workpiece (ro), 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 -> 4E+7 = 0.00032/(300*((0.0833333333333333/(2*pi*10*(1-10*0.0009*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 dVBdtratio = VBm/(Tref*((Vref/(2*pi*ns*(ro-ns*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 the cutting tool advances 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 (VBm), Reference Tool Life (Tref), Reference Cutting Velocity (Vref), Rotational Frequency of Spindle (ns), Outside Radius of the Workpiece (ro), 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 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*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)))
  • 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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