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Cutting Velocity for given Taylor's Tool Life Formula

GoCutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition 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 = \frac{X}{({T v}^{x}) \cdot ({f r}^{e}) \cdot ({d c}^{d})}

V_cut - Cut Velocity?X - Taylors Intercept or Taylor's Constant?T_v - Tool Life in Cutting Velocity?x - Taylors Tool Life Exponent in Cutting Velocity?f_r - Feed Rate in Cutting Velocity?e - Taylors Exponent For Feed Rate in Cutting Velocity?d_c - Cut Depth?d - Taylor's Exponent in Cutting Velocity?

Cutting Velocity for given Taylor's Tool Life Example

With values

With units

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Here is how the Cutting Velocity for given Taylor's Tool Life equation looks like with Values.

Here is how the Cutting Velocity for given Taylor's Tool Life equation looks like with Units.

Here is how the Cutting Velocity for given Taylor's Tool Life equation looks like.

0.7974 = \frac{85.1306}{({4499.4}^{0.8466}) \cdot ({0.7}^{0.1999}) \cdot ({0.013}^{0.23})}

0.7974m/s = \frac{85.1306}{({4499.4s}^{0.8466}) \cdot ({0.7mm/rev}^{0.1999}) \cdot ({0.013m}^{0.23})}

0.7974 = \frac{85.1306}{({4499.4}^{0.8466}) \cdot ({0.7}^{0.1999}) \cdot ({0.013}^{0.23})}

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Cutting Velocity for given Taylor's Tool Life Solution

Follow our step by step solution on how to calculate Cutting Velocity for given Taylor's Tool Life?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V cut = \frac{85.1306}{({4499.4s}^{0.8466}) \cdot ({0.7mm/rev}^{0.1999}) \cdot ({0.013m}^{0.23})}

Next Step Convert Units

∴

V cut = \frac{85.1306}{({4499.4s}^{0.8466}) \cdot ({0.0007m/rev}^{0.1999}) \cdot ({0.013m}^{0.23})}

Next Step Prepare to Evaluate

∴

V cut = \frac{85.1306}{({4499.4}^{0.8466}) \cdot ({0.0007}^{0.1999}) \cdot ({0.013}^{0.23})}

Next Step Evaluate

∴

V cut = 0.797434941961776m/s

LAST Step Rounding Answer

∴

V cut = 0.7974m/s

Cutting Velocity for given Taylor's Tool Life 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

Taylors Intercept or Taylor's Constant

Taylors Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.

Symbol: X

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Taylors Intercept or Taylor's Constant

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

Feed Rate in Cutting Velocity

Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution.

Symbol: f_r

Measurement: FeedUnit: mm/rev

Note: Value should be greater than 0.

Formulas to find Feed Rate in Cutting Velocity

Taylors Exponent For Feed Rate in Cutting Velocity

Taylors Exponent For Feed Rate in Cutting Velocity is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Taylors Exponent For Feed Rate in Cutting Velocity

Cut Depth

Cut Depth is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

Symbol: d_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cut Depth

Taylor's Exponent in Cutting Velocity

Taylor's Exponent in Cutting Velocity is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.

Symbol: d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Taylor's Exponent in Cutting Velocity

Other Formulas to find Cut Velocity

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

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

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

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

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

How to Evaluate Cutting Velocity for given Taylor's Tool Life?

Cutting Velocity for given Taylor's Tool Life evaluator uses 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)) to evaluate the Cut Velocity, The Cutting Velocity for given Taylor's Tool Life is a method to find the maximum Cutting Velocity with which the Workpiece can be machined when the time interval of Tool Sharpening, the feed, and the Depth of Cut is fixed. Cut Velocity is denoted by V_cut symbol.

How to evaluate Cutting Velocity for given Taylor's Tool Life using this online evaluator? To use this online evaluator for Cutting Velocity for given Taylor's Tool Life, enter Taylors Intercept or Taylor's Constant (X), Tool Life in Cutting Velocity (T_v), Taylors Tool Life Exponent in Cutting Velocity (x), Feed Rate in Cutting Velocity (f_r), Taylors Exponent For Feed Rate in Cutting Velocity (e), Cut Depth (d_c) & Taylor's Exponent in Cutting Velocity (d) and hit the calculate button.

FAQs on Cutting Velocity for given Taylor's Tool Life

What is the formula to find Cutting Velocity for given Taylor's Tool Life?

The formula of Cutting Velocity for given Taylor's Tool Life is expressed as 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)). Here is an example- 0.797435 = 85.1306/((4499.4^0.846624)*(0.0007^0.1999)*(0.013^0.23)).

How to calculate Cutting Velocity for given Taylor's Tool Life?

With Taylors Intercept or Taylor's Constant (X), Tool Life in Cutting Velocity (T_v), Taylors Tool Life Exponent in Cutting Velocity (x), Feed Rate in Cutting Velocity (f_r), Taylors Exponent For Feed Rate in Cutting Velocity (e), Cut Depth (d_c) & Taylor's Exponent in Cutting Velocity (d) we can find Cutting Velocity for given Taylor's Tool Life using the formula - 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)).

What are the other ways to Calculate Cut Velocity?

Here are the different ways to Calculate Cut Velocity-

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
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 for given Taylor's Tool Life be negative?

No, the Cutting Velocity for given Taylor's Tool Life, measured in Speed cannot be negative.

Which unit is used to measure Cutting Velocity for given Taylor's Tool Life?

Cutting Velocity for given Taylor's Tool Life 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 for given Taylor's Tool Life can be measured.

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Cutting Velocity for given Taylor's Tool Life Formula

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

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

Cutting Velocity for given Taylor's Tool Life Example

Cutting Velocity for given Taylor's Tool Life Solution

Cutting Velocity for given Taylor's Tool Life Formula Elements

Other Formulas to find Cut Velocity

Other formulas in Cutting Velocity category

How to Evaluate Cutting Velocity for given Taylor's Tool Life?

FAQs on Cutting Velocity for given Taylor's Tool Life

Variable Name

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

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