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

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Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool. Check FAQs

W max = V ratio \cdot T ref \cdot ({(\frac{V ref}{V})}^{\frac{1}{n}})

W_max - Maximum Wear Land Width?V_ratio - Rate of Increase of Wear Land Width?T_ref - Reference Tool Life?V_ref - Reference Cutting Velocity?V - Cutting Velocity?n - Taylor's Tool Life Exponent?

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

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Here is how the Maximum Wear-Land Width given Rate of Increase of Wear-Land Width equation looks like with Values.

Here is how the Maximum Wear-Land Width given Rate of Increase of Wear-Land Width equation looks like with Units.

Here is how the Maximum Wear-Land Width given Rate of Increase of Wear-Land Width equation looks like.

0.3125 = 0.16 \cdot 5 \cdot ({(\frac{5000}{8000})}^{\frac{1}{0.5}})

0.3125mm = 0.16mm/min \cdot 5min \cdot ({(\frac{5000mm/min}{8000mm/min})}^{\frac{1}{0.5}})

0.3125 = 0.16 \cdot 5 \cdot ({(\frac{5000}{8000})}^{\frac{1}{0.5}})

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

Follow our step by step solution on how to calculate Maximum Wear-Land Width given Rate of Increase of Wear-Land Width?

FIRST Step Consider the formula

W max = V ratio \cdot T ref \cdot ({(\frac{V ref}{V})}^{\frac{1}{n}})

Next Step Substitute values of Variables

∴

W max = 0.16mm/min \cdot 5min \cdot ({(\frac{5000mm/min}{8000mm/min})}^{\frac{1}{0.5}})

Next Step Convert Units

∴

W max = 2.7E-6m/s \cdot 300s \cdot ({(\frac{0.0833m/s}{0.1333m/s})}^{\frac{1}{0.5}})

Next Step Prepare to Evaluate

∴

W max = 2.7E-6 \cdot 300 \cdot ({(\frac{0.0833}{0.1333})}^{\frac{1}{0.5}})

Next Step Evaluate

∴

W max = 0.000312500000000002m

Next Step Convert to Output's Unit

∴

W max = 0.312500000000002mm

LAST Step Rounding Answer

∴

W max = 0.3125mm

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

Variables

Maximum Wear Land Width

Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.

Symbol: W_max

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Wear Land Width

Rate of Increase of Wear Land Width

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.

Symbol: V_ratio

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Rate of Increase of Wear Land Width

Reference Tool Life

Reference Tool Life is the tool Life of the tool obtained in the reference machining condition.

Symbol: T_ref

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Reference Tool Life

Reference Cutting Velocity

Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference machining Condition.

Symbol: V_ref

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Cutting Velocity

The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating).

Symbol: V

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Taylor's Tool Life Exponent

Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Taylor's Tool Life Exponent

Other Formulas to find Maximum Wear Land Width

Go Maximum Wear-Land Width

W max = L w \cdot \frac{T}{t m}

Other formulas in Wear Land category

Go Increase in Wear-Land Width per Component

L w = W max \cdot \frac{t m}{T}

Go Machining Time given Maximum Wear-Land Width

t m = L w \cdot \frac{T}{W max}

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

L w = t m \cdot V ratio \cdot T ref \cdot \frac{{(\frac{V ref}{V})}^{\frac{1}{n}}}{T}

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

V ratio = \frac{W max}{T ref \cdot {(\frac{V ref}{2 \cdot π \cdot n s \cdot (r o - n s \cdot f \cdot t′)})}^{\frac{1}{n}}}

How to Evaluate Maximum Wear-Land Width given Rate of Increase of Wear-Land Width?

Maximum Wear-Land Width given Rate of Increase of Wear-Land Width evaluator uses 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)) to evaluate the Maximum Wear Land Width, The Maximum Wear-Land Width given Rate of Increase of Wear-Land Width is a method to determine the maximum Wear Region width that the Tool can sustain when the Rate of Increase of Wear-Land Width is limited. Maximum Wear Land Width is denoted by W_max symbol.

How to evaluate Maximum Wear-Land Width given Rate of Increase of Wear-Land Width using this online evaluator? To use this online evaluator for Maximum Wear-Land Width given Rate of Increase of Wear-Land Width, enter Rate of Increase of Wear Land Width (V_ratio), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) and hit the calculate button.

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

What is the formula to find Maximum Wear-Land Width given Rate of Increase of Wear-Land Width?

The formula of Maximum Wear-Land Width given Rate of Increase of Wear-Land Width is expressed as 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)). Here is an example- 1E+6 = 2.66666666666667E-06*300*((0.0833333333333333/0.133333333333333)^(1/0.5)).

How to calculate Maximum Wear-Land Width given Rate of Increase of Wear-Land Width?

With Rate of Increase of Wear Land Width (V_ratio), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) we can find Maximum Wear-Land Width given Rate of Increase of Wear-Land Width using the formula - 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)).

What are the other ways to Calculate Maximum Wear Land Width?

Here are the different ways to Calculate Maximum Wear Land Width-

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

Can the Maximum Wear-Land Width given Rate of Increase of Wear-Land Width be negative?

No, the Maximum Wear-Land Width given Rate of Increase of Wear-Land Width, measured in Length cannot be negative.

Which unit is used to measure Maximum Wear-Land Width given Rate of Increase of Wear-Land Width?

Maximum Wear-Land Width given Rate of Increase of Wear-Land Width is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Wear-Land Width given Rate of Increase of Wear-Land Width can be measured.

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

​GoMaximum Wear-Land Width Formula

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

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

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

Other Formulas to find Maximum Wear Land Width

Other formulas in Wear Land category

How to Evaluate Maximum Wear-Land Width given Rate of Increase of Wear-Land Width?

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

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GoMaximum Wear-Land Width Formula