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

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

GoRate of Increase of Wear-Land Width 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}{2 \cdot π \cdot n s \cdot (r o - n s \cdot f \cdot t′)})}^{\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?n_s - Rotational Frequency of Spindle?r_o - Outside Radius of The Workpiece?f - Feed?t′ - Process Time?n - Taylor's Tool Life Exponent?π - Archimedes' constant?

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

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Here is how the Rate of Increase of Wear-Land given Feed and Time for Facing equation looks like with Values.

Here is how the Rate of Increase of Wear-Land given Feed and Time for Facing equation looks like with Units.

Here is how the Rate of Increase of Wear-Land given Feed and Time for Facing equation looks like.

0.16 = \frac{0.3125}{5 \cdot {(\frac{5000}{2 \cdot 3.1416 \cdot 10 \cdot (1000 - 10 \cdot 1.0395 \cdot 1.6)})}^{\frac{1}{0.5}}}

0.16mm/min = \frac{0.3125mm}{5min \cdot {(\frac{5000mm/min}{2 \cdot 3.1416 \cdot 10rad/s \cdot (1000mm - 10rad/s \cdot 1.0395mm \cdot 1.6min)})}^{\frac{1}{0.5}}}

0.16 = \frac{0.3125}{5 \cdot {(\frac{5000}{2 \cdot 3.1416 \cdot 10 \cdot (1000 - 10 \cdot 1.0395 \cdot 1.6)})}^{\frac{1}{0.5}}}

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

Follow our step by step solution on how to calculate Rate of Increase of Wear-Land given Feed and Time for Facing?

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

V ratio = \frac{0.3125mm}{5min \cdot {(\frac{5000mm/min}{2 \cdot π \cdot 10rad/s \cdot (1000mm - 10rad/s \cdot 1.0395mm \cdot 1.6min)})}^{\frac{1}{0.5}}}

Next Step Substitute values of Constants

∴

V ratio = \frac{0.3125mm}{5min \cdot {(\frac{5000mm/min}{2 \cdot 3.1416 \cdot 10rad/s \cdot (1000mm - 10rad/s \cdot 1.0395mm \cdot 1.6min)})}^{\frac{1}{0.5}}}

Next Step Convert Units

∴

V ratio = \frac{0.0003m}{300s \cdot {(\frac{0.0833m/s}{2 \cdot 3.1416 \cdot 10rad/s \cdot (1m - 10rad/s \cdot 0.001m \cdot 96s)})}^{\frac{1}{0.5}}}

Next Step Prepare to Evaluate

∴

V ratio = \frac{0.0003}{300 \cdot {(\frac{0.0833}{2 \cdot 3.1416 \cdot 10 \cdot (1 - 10 \cdot 0.001 \cdot 96)})}^{\frac{1}{0.5}}}

Next Step Evaluate

∴

V ratio = 2.66710422580443E-06m/s

Next Step Convert to Output's Unit

∴

V ratio = 0.160026253548266mm/min

LAST Step Rounding Answer

∴

V ratio = 0.16mm/min

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

Variables

Constants

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

Rotational Frequency of Spindle

Rotational Frequency of Spindle is the number of turns made by the spindle of the machine for cutting in one second.

Symbol: n_s

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Rotational Frequency of Spindle

Outside Radius of The Workpiece

Outside Radius of The Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.

Symbol: r_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outside Radius of The Workpiece

Feed

The Feed is the distance of the cutting tool along the length of the work for every revolution of the spindle.

Symbol: f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Feed

Process Time

Process Time is the time for which any process has been carried out irrespective of its completion.

Symbol: t′

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Process Time

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Rate of Increase of Wear Land Width

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}}}}

Go Rate of Increase of Wear-Land Width

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

How to Evaluate Rate of Increase of Wear-Land given Feed and Time for Facing?

Rate of Increase of Wear-Land given Feed and Time for Facing evaluator uses 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)) to evaluate the Rate of Increase of Wear Land Width, The Rate of Increase of Wear-Land given Feed and Time for Facing is a method to determine the rate of increase in the width of the region where wear occurs in a tool when the Tool Feed and Time for which Facing has been done is known. Rate of Increase of Wear Land Width is denoted by V_ratio symbol.

How to evaluate Rate of Increase of Wear-Land given Feed and Time for Facing using this online evaluator? To use this online evaluator for Rate of Increase of Wear-Land given Feed and Time for Facing, enter Maximum Wear Land Width (W_max), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Rotational Frequency of Spindle (n_s), Outside Radius of The Workpiece (r_o), Feed (f), Process Time (t′) & Taylor's Tool Life Exponent (n) and hit the calculate button.

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

What is the formula to find Rate of Increase of Wear-Land given Feed and Time for Facing?

The formula of Rate of Increase of Wear-Land given Feed and Time for Facing is expressed as 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)). Here is an example- 9601.575 = 0.0003125/(300*(0.0833333333333333/(2*pi*10*(1-10*0.001039456*96)))^(1/0.5)).

How to calculate Rate of Increase of Wear-Land given Feed and Time for Facing?

With Maximum Wear Land Width (W_max), Reference Tool Life (T_ref), Reference Cutting Velocity (V_ref), Rotational Frequency of Spindle (n_s), Outside Radius of The Workpiece (r_o), Feed (f), Process Time (t′) & Taylor's Tool Life Exponent (n) we can find Rate of Increase of Wear-Land given Feed and Time for Facing using the formula - 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)). This formula also uses Archimedes' constant .

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*Instantaneous Radius For Cut)^(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)))

Can the Rate of Increase of Wear-Land given Feed and Time for Facing be negative?

No, the Rate of Increase of Wear-Land given Feed and Time for Facing, measured in Speed cannot be negative.

Which unit is used to measure Rate of Increase of Wear-Land given Feed and Time for Facing?

Rate of Increase of Wear-Land given Feed and Time for Facing 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 given Feed and Time for Facing can be measured.

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

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

​GoRate of Increase of Wear-Land Width Formula

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

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

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

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

Variable Name

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

GoRate of Increase of Wear-Land Width Formula