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Rate of Increase of Wear-Land Width Formula

GoRate of Increase of Wear-Land given Feed and Time for Facing Formula

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

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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. Check FAQs

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

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

Rate of Increase of Wear-Land Width Example

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

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

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

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

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

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

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Rate of Increase of Wear-Land Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

V ratio = \frac{0.0003m}{300s \cdot ({(\frac{0.0833m/s}{0.1333m/s})}^{\frac{1}{0.5}})}

Next Step Prepare to Evaluate

∴

V ratio = \frac{0.0003}{300 \cdot ({(\frac{0.0833}{0.1333})}^{\frac{1}{0.5}})}

Next Step Evaluate

∴

V ratio = 2.66666666666666E-06m/s

Next Step Convert to Output's Unit

∴

V ratio = 0.159999999999999mm/min

LAST Step Rounding Answer

∴

V ratio = 0.16mm/min

Rate of Increase of Wear-Land Width Formula Elements

Variables

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

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

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 Rate of Increase of Wear Land Width

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}}}

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

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

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 Rate of Increase of Wear-Land Width?

Rate of Increase of Wear-Land Width evaluator uses 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))) to evaluate the Rate of Increase of Wear Land Width, The Rate of Increase of Wear-Land Width is defined as the increase in the width of the region where wear occurs in a tool per unit time when the Tool is used for machining. Rate of Increase of Wear Land Width is denoted by V_ratio symbol.

How to evaluate Rate of Increase of Wear-Land Width using this online evaluator? To use this online evaluator for Rate of Increase of Wear-Land Width, enter Maximum Wear Land Width (W_max), 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 Rate of Increase of Wear-Land Width

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

The formula of Rate of Increase of Wear-Land Width is expressed as 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))). Here is an example- 9600 = 0.0003125/(300*((0.0833333333333333/0.133333333333333)^(1/0.5))).

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

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

What are the other ways to Calculate Rate of Increase of Wear Land Width?

Here are the different ways to Calculate Rate of Increase of Wear Land Width-

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/(2*pi*Rotational Frequency of Spindle*Instantaneous Radius For Cut)^(1/Taylor's Tool Life Exponent))

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

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

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

Rate of Increase of Wear-Land Width is usually measured using the Millimeter per Minute[mm/min] for Speed. Meter per Second[mm/min], Meter per Minute[mm/min], Meter per Hour[mm/min] are the few other units in which Rate of Increase of Wear-Land Width can be measured.

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Rate of Increase of Wear-Land Width Formula

​GoRate of Increase of Wear-Land given Feed and Time for Facing Formula

​GoRate of Increase of Wear-Land given Rotational Frequency of Spindle Formula

Rate of Increase of Wear-Land Width Example

Rate of Increase of Wear-Land Width Solution

Rate of Increase of Wear-Land Width Formula Elements

Other Formulas to find Rate of Increase of Wear Land Width

Other formulas in Wear Land category

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

FAQs on Rate of Increase of Wear-Land Width

Variable Name

GoRate of Increase of Wear-Land given Feed and Time for Facing Formula

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