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Cutting Velocity given Rate of Increase of Wear-Land Width Formula

GoInstantaneous Cutting Speed Formula

GoInstantaneous Cutting Speed given Feed Formula

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

V = V ref \cdot {(V r \cdot \frac{T ref}{w})}^{n}

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

Cutting Velocity given Rate of Increase of Wear-Land Width Example

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

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

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

8000.003 = 5000 \cdot {(0.0107 \cdot \frac{5}{0.0213})}^{0.5129}

8000.003mm/min = 5000mm/min \cdot {(0.0107mm/min \cdot \frac{5min}{0.0213mm})}^{0.5129}

8000.003 = 5000 \cdot {(0.0107 \cdot \frac{5}{0.0213})}^{0.5129}

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Cutting Velocity given Rate of Increase of Wear-Land Width Solution

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

FIRST Step Consider the formula

V = V ref \cdot {(V r \cdot \frac{T ref}{w})}^{n}

Next Step Substitute values of Variables

∴

V = 5000mm/min \cdot {(0.0107mm/min \cdot \frac{5min}{0.0213mm})}^{0.5129}

Next Step Convert Units

∴

V = 0.0833m/s \cdot {(1.8E-7m/s \cdot \frac{300s}{2.1E-5m})}^{0.5129}

Next Step Prepare to Evaluate

∴

V = 0.0833 \cdot {(1.8E-7 \cdot \frac{300}{2.1E-5})}^{0.5129}

Next Step Evaluate

∴

V = 0.133333382845777m/s

Next Step Convert to Output's Unit

∴

V = 8000.0029707466mm/min

LAST Step Rounding Answer

∴

V = 8000.003mm/min

Cutting Velocity given Rate of Increase of Wear-Land Width Formula Elements

Variables

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

Reference Cutting Velocity

Reference Cutting Velocity refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations.

Symbol: V_ref

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity

Rate of Increase of Wear Land Width

Rate of Increase of Wear Land Width is the rate at which the width of the worn surface on the cutting tool's flank or cutting edge grows over time during the machining process.

Symbol: V_r

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 refers to a standard or predetermined lifespan used as a baseline for estimating the expected durability of cutting tools under specific machining conditions.

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 width of the worn surface on the cutting tool's flank or cutting edge due to continuous contact with the workpiece material during machining.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Maximum Wear Land Width

Taylor's Tool Life Exponent

Taylor's Tool Life Exponent is a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylor's Tool Life Exponent

Other Formulas to find Cutting Velocity

Go Instantaneous Cutting Speed

V = 2 \cdot π \cdot ω s \cdot r

Go Instantaneous Cutting Speed given Feed

V = 2 \cdot π \cdot ω s \cdot (R o - ω s \cdot f \cdot t)

Go Cutting Speed for Constant-Cutting-Speed Operation

V = {(\frac{T ref}{L \cdot Q})}^{n} \cdot V ref

Other formulas in Cutting Speed category

Go Reference Cutting Velocity given Rate of Increase of Wear-Land Width

V ref = \frac{V}{{(V r \cdot \frac{T ref}{w})}^{n}}

Go Time for Facing given Instantaneous Cutting Speed

t = \frac{R o - (\frac{V}{2 \cdot π \cdot ω s})}{ω s \cdot f}

Go Feed given Instantaneous Cutting Speed

f = \frac{R o - (\frac{V}{2 \cdot π \cdot ω s})}{ω s \cdot t}

Go Optimum Spindle Speed

ω s = (\frac{V s}{2 \cdot π \cdot R o}) \cdot {(\frac{(1 + n) \cdot C t \cdot T ref \cdot (1 - R w)}{(1 - n) \cdot (C t \cdot t c + C t) \cdot (1 - {R w}^{\frac{1 + n}{n}})})}^{n}

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

Cutting Velocity given Rate of Increase of Wear-Land Width evaluator uses Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent to evaluate the Cutting Velocity, The Cutting Velocity given Rate of Increase of Wear-Land Width referred to as the cutting speed, is a critical parameter that directly influences tool wear and machining performance. The rate of increase of wear-land width, on the other hand, describes how rapidly the width of the worn surface on the cutting tool increases over time during the machining process. Cutting Velocity is denoted by V symbol.

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

FAQs on Cutting Velocity given Rate of Increase of Wear-Land Width

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

The formula of Cutting Velocity given Rate of Increase of Wear-Land Width is expressed as Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent. Here is an example- 2E+10 = 0.0833333333333333*(1.77783333333333E-07*300/2.1334E-05)^0.512942.

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

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

What are the other ways to Calculate Cutting Velocity?

Here are the different ways to Calculate Cutting Velocity-

Cutting Velocity=2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
Cutting Velocity=2*pi*Rotational Frequency of Spindle*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
Cutting Velocity=(Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity

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

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

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

Cutting Velocity given 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 Cutting Velocity given Rate of Increase of Wear-Land Width can be measured.

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Cutting Velocity given Rate of Increase of Wear-Land Width Formula

​GoInstantaneous Cutting Speed Formula

​GoInstantaneous Cutting Speed given Feed Formula

Cutting Velocity given Rate of Increase of Wear-Land Width Example

Cutting Velocity given Rate of Increase of Wear-Land Width Solution

Cutting Velocity given Rate of Increase of Wear-Land Width Formula Elements

Other Formulas to find Cutting Velocity

Other formulas in Cutting Speed category

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

FAQs on Cutting Velocity given Rate of Increase of Wear-Land Width

Variable Name

GoInstantaneous Cutting Speed Formula

GoInstantaneous Cutting Speed given Feed Formula