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

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

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

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

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

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

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

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

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

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

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

T ref = \frac{0.0003m}{2.7E-6m/s \cdot {(\frac{0.0833m/s}{0.1333m/s})}^{\frac{1}{0.5}}}

Next Step Prepare to Evaluate

∴

T ref = \frac{0.0003}{2.7E-6 \cdot {(\frac{0.0833}{0.1333})}^{\frac{1}{0.5}}}

Next Step Evaluate

∴

T ref = 299.999999999998s

Next Step Convert to Output's Unit

∴

T ref = 4.99999999999997min

LAST Step Rounding Answer

∴

T ref = 5min

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

Variables

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

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 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 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}

Go Machining Time given Maximum Wear-Land Width

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

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

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

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

Reference Tool Life given Rate of Increase of Wear-Land Width evaluator uses 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)) to evaluate the Reference Tool Life, The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given. Reference Tool Life is denoted by T_ref symbol.

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

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

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

The formula of Reference Tool Life given Rate of Increase of Wear-Land Width is expressed as 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)). Here is an example- 0.083333 = 0.0003125/(2.66666666666667E-06*(0.0833333333333333/0.133333333333333)^(1/0.5)).

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

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

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

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

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

Reference 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 Reference Tool Life given Rate of Increase of Wear-Land Width can be measured.

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

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

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

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

Other formulas in Wear Land category

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

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

Variable Name