Rate of Increase of Wear-Land given Rotational Frequency of Spindle 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%
✖Instantaneous Radius For Cut is the radius of the workpiece surface currently being machined.ⓘ Instantaneous Radius For Cut [r]			+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 Rotational Frequency of Spindle [V_ratio]

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Formula

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

Formula

`"V"_{"ratio"} = "W"_{"max"}/("T"_{"ref"}*(("V"_{"ref"}/(2*pi*"n"_{"s"}*"r"))^(1/"n")))`

Example

`"0.16mm/min"="0.3125mm"/("5min"*(("5000mm/min"/(2*pi*"10Hz"*"2.122065mm"))^(1/"0.5")))`

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Rate of Increase of Wear-Land given Rotational Frequency of Spindle 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*Instantaneous Radius For Cut))^(1/Taylor's Tool Life Exponent)))
V_ratio = W_max/(T_ref*((V_ref/(2*pi*n_s*r))^(1/n)))
This formula uses 1 Constants, 7 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.
Instantaneous Radius For Cut - (Measured in Meter) - Instantaneous Radius For Cut is the radius of the workpiece surface currently being machined.
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 Hertz --> 10 Hertz No Conversion Required
Instantaneous Radius For Cut: 2.122065 Millimeter --> 0.002122065 Meter (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))^(1/n))) --> 0.0003125/(300*((0.0833333333333333/(2*pi*10*0.002122065))^(1/0.5)))

Evaluating ... ...

V_ratio = 2.66666438488584E-06

STEP 3: Convert Result to Output's Unit

2.66666438488584E-06 Meter per Second -->0.159999863093151 Millimeter per Minute (Check conversion here)

FINAL ANSWER

0.159999863093151 ≈ 0.16 Millimeter per Minute <-- Rate of Increase of Wear Land Width

(Calculation completed in 00.007 seconds)

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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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< 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))

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

Maximum Wear-Land Width

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

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

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 given Rotational Frequency of Spindle?

Rate of Increase of Wear-Land given Rotational Frequency of Spindle 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*Instantaneous Radius For Cut))^(1/Taylor's Tool Life Exponent))) to calculate the Rate of Increase of Wear Land Width, The Rate of Increase of Wear-Land given Rotational Frequency of Spindle is a method to determine the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining, at a given Cutting Speed at any instant. Rate of Increase of Wear Land Width is denoted by V_ratio symbol.

How to calculate Rate of Increase of Wear-Land given Rotational Frequency of Spindle using this online calculator? To use this online calculator for Rate of Increase of Wear-Land given Rotational Frequency of Spindle, enter Maximum Wear Land Width (W_max), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Rotational Frequency of Spindle (n_s), Instantaneous Radius For Cut (r) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Rate of Increase of Wear-Land given Rotational Frequency of Spindle calculation can be explained with given input values -> 3.9E+7 = 0.0003125/(300*((0.0833333333333333/(2*pi*10*0.002122065))^(1/0.5))).

FAQ

What is Rate of Increase of Wear-Land given Rotational Frequency of Spindle?

The Rate of Increase of Wear-Land given Rotational Frequency of Spindle is a method to determine the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining, at a given Cutting Speed at any instant and is represented as V_ratio = W_max/(T_ref*((V_ref/(2*pi*n_s*r))^(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*Instantaneous Radius For Cut))^(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, Instantaneous Radius For Cut is the radius of the workpiece surface currently being machined & 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 Rotational Frequency of Spindle?

The Rate of Increase of Wear-Land given Rotational Frequency of Spindle is a method to determine the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining, at a given Cutting Speed at any instant 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*Instantaneous Radius For Cut))^(1/Taylor's Tool Life Exponent))). To calculate Rate of Increase of Wear-Land given Rotational Frequency of Spindle, you need Maximum Wear Land Width (W_max), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Rotational Frequency of Spindle (n_s), Instantaneous Radius For Cut (r) & 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, Instantaneous Radius For Cut & 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, Instantaneous Radius For Cut & 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*(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/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))

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