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Tool Life given Rate of Increase of Wear-Land Width Formula

GoTool Life given Maximum Wear-Land Width Formula

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Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations. Check FAQs

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

T - Tool Life?t_m - Machining Time?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?L_w - Increase in Wear Land Width Per Component?

Tool Life given Rate of Increase of Wear-Land Width Example

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

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

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

75 = 0.75 \cdot 0.16 \cdot 5 \cdot \frac{{(\frac{5000}{8000})}^{\frac{1}{0.5}}}{0.0031}

75min = 0.75min \cdot 0.16mm/min \cdot 5min \cdot \frac{{(\frac{5000mm/min}{8000mm/min})}^{\frac{1}{0.5}}}{0.0031mm}

75 = 0.75 \cdot 0.16 \cdot 5 \cdot \frac{{(\frac{5000}{8000})}^{\frac{1}{0.5}}}{0.0031}

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Tool Life given Rate of Increase of Wear-Land Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 0.75min \cdot 0.16mm/min \cdot 5min \cdot \frac{{(\frac{5000mm/min}{8000mm/min})}^{\frac{1}{0.5}}}{0.0031mm}

Next Step Convert Units

∴

T = 45s \cdot 2.7E-6m/s \cdot 300s \cdot \frac{{(\frac{0.0833m/s}{0.1333m/s})}^{\frac{1}{0.5}}}{3.1E-6m}

Next Step Prepare to Evaluate

∴

T = 45 \cdot 2.7E-6 \cdot 300 \cdot \frac{{(\frac{0.0833}{0.1333})}^{\frac{1}{0.5}}}{3.1E-6}

Next Step Evaluate

∴

T = 4500.00000000002s

Next Step Convert to Output's Unit

∴

T = 75.0000000000004min

LAST Step Rounding Answer

∴

T = 75min

Tool Life given Rate of Increase of Wear-Land Width Formula Elements

Variables

Tool Life

Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: T

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Tool Life

Machining Time

Machining Time is the time when a machine is actually processing something, generally, machining time is the term used when there is a removal of unwanted material.

Symbol: t_m

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Machining Time

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

Increase in Wear Land Width Per Component

Increase in Wear Land Width per Component is the increase in the width of the region where wear occurs in a tool.

Symbol: L_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in Wear Land Width Per Component

Other Formulas to find Tool Life

Go Tool Life given Maximum Wear-Land Width

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

Other formulas in Wear Land category

Go Maximum Wear-Land Width

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

Go Increase in Wear-Land Width per Component

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

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

Tool Life given Rate of Increase of Wear-Land Width evaluator uses 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 to evaluate the Tool Life, The Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life to be used such that the maximum limit of Rate of Increase of Wear-Land Width is not exceeded. Tool Life is denoted by T symbol.

How to evaluate Tool Life given Rate of Increase of Wear-Land Width using this online evaluator? To use this online evaluator for Tool Life given Rate of Increase of Wear-Land Width, enter Machining Time (t_m), 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) & Increase in Wear Land Width Per Component (L_w) and hit the calculate button.

FAQs on Tool Life given Rate of Increase of Wear-Land Width

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

The formula of Tool Life given Rate of Increase of Wear-Land Width is expressed as 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. Here is an example- 1.220703 = 45*2.66666666666667E-06*300*((0.0833333333333333/0.133333333333333)^(1/0.5))/3.125E-06.

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

With Machining Time (t_m), 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) & Increase in Wear Land Width Per Component (L_w) we can find Tool Life given Rate of Increase of Wear-Land Width using the formula - 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.

What are the other ways to Calculate Tool Life?

Here are the different ways to Calculate Tool Life-

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

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

No, the Tool Life given Rate of Increase of Wear-Land Width, measured in Time cannot be negative.

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

Tool Life given Rate of Increase of Wear-Land Width is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Tool Life given Rate of Increase of Wear-Land Width can be measured.

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Tool Life given Rate of Increase of Wear-Land Width Formula

​GoTool Life given Maximum Wear-Land Width Formula

Tool Life given Rate of Increase of Wear-Land Width Example

Tool Life given Rate of Increase of Wear-Land Width Solution

Tool Life given Rate of Increase of Wear-Land Width Formula Elements

Other Formulas to find Tool Life

Other formulas in Wear Land category

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

FAQs on Tool Life given Rate of Increase of Wear-Land Width

Variable Name

GoTool Life given Maximum Wear-Land Width Formula