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

GoReference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation Formula

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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. Check FAQs

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

V_ref - Reference Cutting Velocity?V - 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?

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

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

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

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

4999.9981 = \frac{8000}{{(0.0107 \cdot \frac{5}{0.0213})}^{0.5129}}

4999.9981mm/min = \frac{8000mm/min}{{(0.0107mm/min \cdot \frac{5min}{0.0213mm})}^{0.5129}}

4999.9981 = \frac{8000}{{(0.0107 \cdot \frac{5}{0.0213})}^{0.5129}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V ref = \frac{8000mm/min}{{(0.0107mm/min \cdot \frac{5min}{0.0213mm})}^{0.5129}}

Next Step Convert Units

∴

V ref = \frac{0.1333m/s}{{(1.8E-7m/s \cdot \frac{300s}{2.1E-5m})}^{0.5129}}

Next Step Prepare to Evaluate

∴

V ref = \frac{0.1333}{{(1.8E-7 \cdot \frac{300}{2.1E-5})}^{0.5129}}

Next Step Evaluate

∴

V ref = 0.0833333023880675m/s

Next Step Convert to Output's Unit

∴

V ref = 4999.99814328405mm/min

LAST Step Rounding Answer

∴

V ref = 4999.9981mm/min

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

Variables

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

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

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 Reference Cutting Velocity

Go Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation

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

Other formulas in Cutting Speed category

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

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

Go Instantaneous Cutting Speed

V = 2 \cdot π \cdot ω s \cdot r

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 Instantaneous Cutting Speed given Feed

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

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

Reference Cutting Velocity given Rate of Increase of Wear-Land Width evaluator uses Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent) to evaluate the Reference Cutting Velocity, The Reference Cutting Velocity given Rate of Increase of Wear-Land Width in metal machining refers to the desired linear velocity of the cutting tool's edge relative to the workpiece surface, set in consideration of the rate at which the width of the wear land on the cutting tool increases during machining. Reference Cutting Velocity is denoted by V_ref symbol.

How to evaluate Reference Cutting Velocity given Rate of Increase of Wear-Land Width using this online evaluator? To use this online evaluator for Reference Cutting Velocity given Rate of Increase of Wear-Land Width, enter Cutting Velocity (V), 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 Reference Cutting Velocity given Rate of Increase of Wear-Land Width

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

The formula of Reference Cutting Velocity given Rate of Increase of Wear-Land Width is expressed as Reference Cutting Velocity = 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- 7.3E+6 = 0.133333333333333/((1.77783333333333E-07*300/2.1334E-05)^0.512942).

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

With Cutting Velocity (V), 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 Reference Cutting Velocity given Rate of Increase of Wear-Land Width using the formula - Reference Cutting Velocity = 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 Reference Cutting Velocity?

Here are the different ways to Calculate Reference Cutting Velocity-

Reference Cutting Velocity=Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent)

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

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

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

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

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

​GoReference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation Formula

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

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

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

Other Formulas to find Reference Cutting Velocity

Other formulas in Cutting Speed category

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

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

Variable Name

GoReference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation Formula