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Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Formula

GoCutting Velocity for given Taylor's Tool Life Formula

GoCutting Velocity for given Tool Life and Volume of Metal Removed Formula

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

V cut = V rf \cdot {(\frac{T rf}{T v})}^{x}

V_cut - Cut Velocity?V_rf - Reference Cutting Velocity in Cutting Velocity?T_rf - Reference Tool Life in Cutting Velocity?T_v - Tool Life in Cutting Velocity?x - Taylors Tool Life Exponent in Cutting Velocity?

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Example

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Here is how the Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition equation looks like with Values.

Here is how the Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition equation looks like with Units.

Here is how the Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition equation looks like.

0.8328 = 0.0241 \cdot {(\frac{295896.06}{4499.4})}^{0.8466}

0.8328m/s = 0.0241m/s \cdot {(\frac{295896.06s}{4499.4s})}^{0.8466}

0.8328 = 0.0241 \cdot {(\frac{295896.06}{4499.4})}^{0.8466}

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Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Solution

Follow our step by step solution on how to calculate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

FIRST Step Consider the formula

V cut = V rf \cdot {(\frac{T rf}{T v})}^{x}

Next Step Substitute values of Variables

∴

V cut = 0.0241m/s \cdot {(\frac{295896.06s}{4499.4s})}^{0.8466}

Next Step Prepare to Evaluate

∴

V cut = 0.0241 \cdot {(\frac{295896.06}{4499.4})}^{0.8466}

Next Step Evaluate

∴

V cut = 0.83284718954504m/s

LAST Step Rounding Answer

∴

V cut = 0.8328m/s

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Formula Elements

Variables

Cut Velocity

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

Symbol: V_cut

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cut Velocity

Reference Cutting Velocity in Cutting Velocity

Reference Cutting Velocity in Cutting Velocity is the cutting velocity of the tool used in the reference to machining condition.

Symbol: V_rf

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Reference Cutting Velocity in Cutting Velocity

Reference Tool Life in Cutting Velocity

Reference Tool Life in Cutting Velocity is the tool life of the tool obtained in the reference to machining condition.

Symbol: T_rf

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Reference Tool Life in Cutting Velocity

Tool Life in Cutting Velocity

Tool Life in Cutting Velocity is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: T_v

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Tool Life in Cutting Velocity

Taylors Tool Life Exponent in Cutting Velocity

Taylors Tool Life Exponent in Cutting Velocity is an experimental exponent that helps in quantifying the rate of tool wear.

Symbol: x

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Taylors Tool Life Exponent in Cutting Velocity

Other Formulas to find Cut Velocity

Go Cutting Velocity for given Taylor's Tool Life

V cut = \frac{X}{({T v}^{x}) \cdot ({f r}^{e}) \cdot ({d c}^{d})}

Go Cutting Velocity for given Tool Life and Volume of Metal Removed

V cut = \frac{L}{T v \cdot f r \cdot d c}

Go Cutting Velocity using Machinability Index

V cut = I \cdot \frac{V s}{100}

Other formulas in Cutting Velocity category

Go Resultant Cutting Velocity

V r = \frac{v c}{\cos ((η))}

Go Crater Depth for Sintered-Carbide Tools

K t = 0.06 + 0.3 \cdot f r

Go Feed for Sintered-Carbide Tools using Crater Depth

f r = \frac{K t - 0.06}{0.3}

Go Cutting Velocity using Taylor's Tool Life and Intercept

V' cut = \frac{X}{{T v}^{x}}

How to Evaluate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition evaluator uses Cut Velocity = Reference Cutting Velocity in Cutting Velocity*(Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity to evaluate the Cut Velocity, The Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference Condition. Cut Velocity is denoted by V_cut symbol.

How to evaluate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition using this online evaluator? To use this online evaluator for Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition, enter Reference Cutting Velocity in Cutting Velocity (V_rf), Reference Tool Life in Cutting Velocity (T_rf), Tool Life in Cutting Velocity (T_v) & Taylors Tool Life Exponent in Cutting Velocity (x) and hit the calculate button.

FAQs on Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition

What is the formula to find Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

The formula of Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition is expressed as Cut Velocity = Reference Cutting Velocity in Cutting Velocity*(Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity. Here is an example- 0.832847 = 0.024066667*(295896.06/4499.4)^0.846624.

How to calculate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

With Reference Cutting Velocity in Cutting Velocity (V_rf), Reference Tool Life in Cutting Velocity (T_rf), Tool Life in Cutting Velocity (T_v) & Taylors Tool Life Exponent in Cutting Velocity (x) we can find Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition using the formula - Cut Velocity = Reference Cutting Velocity in Cutting Velocity*(Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity.

What are the other ways to Calculate Cut Velocity?

Here are the different ways to Calculate Cut Velocity-

Cut Velocity=Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity))
Cut Velocity=Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
Cut Velocity=Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100

Can the Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition be negative?

No, the Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition, measured in Speed cannot be negative.

Which unit is used to measure Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition can be measured.

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Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Formula

​GoCutting Velocity for given Taylor's Tool Life Formula

​GoCutting Velocity for given Tool Life and Volume of Metal Removed Formula

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Example

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Solution

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Formula Elements

Other Formulas to find Cut Velocity

Other formulas in Cutting Velocity category

How to Evaluate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

FAQs on Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition

Variable Name

GoCutting Velocity for given Taylor's Tool Life Formula

GoCutting Velocity for given Tool Life and Volume of Metal Removed Formula