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

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

GoCutting Velocity for given Taylor's Tool Life 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{L}{T v \cdot f r \cdot d c}

V_cut - Cut Velocity?L - Volume of Metal Removed?T_v - Tool Life in Cutting Velocity?f_r - Feed Rate in Cutting Velocity?d_c - Cut Depth?

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

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Here is how the Cutting Velocity for given Tool Life and Volume of Metal Removed equation looks like with Values.

Here is how the Cutting Velocity for given Tool Life and Volume of Metal Removed equation looks like with Units.

Here is how the Cutting Velocity for given Tool Life and Volume of Metal Removed equation looks like.

0.8334 = \frac{34125}{4499.4 \cdot 0.7 \cdot 0.013}

0.8334m/s = \frac{34125cm³}{4499.4s \cdot 0.7mm/rev \cdot 0.013m}

0.8334 = \frac{34125}{4499.4 \cdot 0.7 \cdot 0.013}

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

Follow our step by step solution on how to calculate Cutting Velocity for given Tool Life and Volume of Metal Removed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V cut = \frac{34125cm³}{4499.4s \cdot 0.7mm/rev \cdot 0.013m}

Next Step Convert Units

∴

V cut = \frac{0.0341m³}{4499.4s \cdot 0.0007m/rev \cdot 0.013m}

Next Step Prepare to Evaluate

∴

V cut = \frac{0.0341}{4499.4 \cdot 0.0007 \cdot 0.013}

Next Step Evaluate

∴

V cut = 0.833444459261235m/s

LAST Step Rounding Answer

∴

V cut = 0.8334m/s

Cutting Velocity for given Tool Life and Volume of Metal Removed 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

Volume of Metal Removed

The Volume of Metal Removed is the total volume of metal that is removed during machining.

Symbol: L

Measurement: VolumeUnit: cm³

Note: Value should be greater than 0.

Formulas to find Volume of Metal Removed

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

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

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

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 Taylor's Tool Life

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

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 for given Tool Life and Volume of Metal Removed?

Cutting Velocity for given Tool Life and Volume of Metal Removed evaluator uses Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth) to evaluate the Cut Velocity, The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known. Cut Velocity is denoted by V_cut symbol.

How to evaluate Cutting Velocity for given Tool Life and Volume of Metal Removed using this online evaluator? To use this online evaluator for Cutting Velocity for given Tool Life and Volume of Metal Removed, enter Volume of Metal Removed (L), Tool Life in Cutting Velocity (T_v), Feed Rate in Cutting Velocity (f_r) & Cut Depth (d_c) and hit the calculate button.

FAQs on Cutting Velocity for given Tool Life and Volume of Metal Removed

What is the formula to find Cutting Velocity for given Tool Life and Volume of Metal Removed?

The formula of Cutting Velocity for given Tool Life and Volume of Metal Removed is expressed as Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth). Here is an example- 0.833444 = 0.034125/(4499.4*0.0007*0.013).

How to calculate Cutting Velocity for given Tool Life and Volume of Metal Removed?

With Volume of Metal Removed (L), Tool Life in Cutting Velocity (T_v), Feed Rate in Cutting Velocity (f_r) & Cut Depth (d_c) we can find Cutting Velocity for given Tool Life and Volume of Metal Removed using the formula - Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth).

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=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=Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100

Can the Cutting Velocity for given Tool Life and Volume of Metal Removed be negative?

No, the Cutting Velocity for given Tool Life and Volume of Metal Removed, measured in Speed cannot be negative.

Which unit is used to measure Cutting Velocity for given Tool Life and Volume of Metal Removed?

Cutting Velocity for given Tool Life and Volume of Metal Removed 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 Tool Life and Volume of Metal Removed can be measured.

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

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

​GoCutting Velocity for given Taylor's Tool Life Formula

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

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

Cutting Velocity for given Tool Life and Volume of Metal Removed Formula Elements

Other Formulas to find Cut Velocity

Other formulas in Cutting Velocity category

How to Evaluate Cutting Velocity for given Tool Life and Volume of Metal Removed?

FAQs on Cutting Velocity for given Tool Life and Volume of Metal Removed

Variable Name

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

GoCutting Velocity for given Taylor's Tool Life Formula