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Cutting Speed for Constant-Cutting-Speed Operation Formula

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

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

V - Cutting Velocity?T_ref - Reference Tool Life?L - Tool Life?Q - Time Proportion of Cutting Edge?n - Taylor's Tool Life Exponent?V_ref - Reference Cutting Velocity?

Cutting Speed for Constant-Cutting-Speed Operation Example

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Here is how the Cutting Speed for Constant-Cutting-Speed Operation equation looks like with Values.

Here is how the Cutting Speed for Constant-Cutting-Speed Operation equation looks like with Units.

Here is how the Cutting Speed for Constant-Cutting-Speed Operation equation looks like.

8000.003 = {(\frac{5}{50 \cdot 0.04})}^{0.5129} \cdot 5000

8000.003mm/min = {(\frac{5min}{50min \cdot 0.04})}^{0.5129} \cdot 5000mm/min

8000.003 = {(\frac{5}{50 \cdot 0.04})}^{0.5129} \cdot 5000

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Cutting Speed for Constant-Cutting-Speed Operation Solution

Follow our step by step solution on how to calculate Cutting Speed for Constant-Cutting-Speed Operation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = {(\frac{5min}{50min \cdot 0.04})}^{0.5129} \cdot 5000mm/min

Next Step Convert Units

∴

V = {(\frac{300s}{3000s \cdot 0.04})}^{0.5129} \cdot 0.0833m/s

Next Step Prepare to Evaluate

∴

V = {(\frac{300}{3000 \cdot 0.04})}^{0.5129} \cdot 0.0833

Next Step Evaluate

∴

V = 0.133333382845777m/s

Next Step Convert to Output's Unit

∴

V = 8000.00297074661mm/min

LAST Step Rounding Answer

∴

V = 8000.003mm/min

Cutting Speed for Constant-Cutting-Speed Operation 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 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

Tool Life

Tool Life refers to the duration or number of components machined before a cutting tool becomes no longer capable of maintaining the desired machining quality or performance standards.

Symbol: L

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Tool Life

Time Proportion of Cutting Edge

Time Proportion of Cutting Edge is the duration during a machining operation that a specific portion of the cutting edge of the tool is actively engaged in removing material from the workpiece.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Time Proportion of Cutting Edge

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

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

Other Formulas to find Cutting Velocity

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 Instantaneous Cutting Speed given Feed

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

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 Speed for Constant-Cutting-Speed Operation?

Cutting Speed for Constant-Cutting-Speed Operation evaluator uses Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity to evaluate the Cutting Velocity, The Cutting Speed for Constant-Cutting-Speed Operation refers to a machining process where the cutting speed remains consistent throughout the entire operation. This is in contrast to variable cutting speed operations where the cutting speed may change during machining, such as in ramping, profiling, or adaptive machining strategies. Cutting Velocity is denoted by V symbol.

How to evaluate Cutting Speed for Constant-Cutting-Speed Operation using this online evaluator? To use this online evaluator for Cutting Speed for Constant-Cutting-Speed Operation, enter Reference Tool Life (T_ref), Tool Life (L), Time Proportion of Cutting Edge (Q), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V_ref) and hit the calculate button.

FAQs on Cutting Speed for Constant-Cutting-Speed Operation

What is the formula to find Cutting Speed for Constant-Cutting-Speed Operation?

The formula of Cutting Speed for Constant-Cutting-Speed Operation is expressed as Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity. Here is an example- 2E+10 = (300/(3000*0.04))^0.512942*0.0833333333333333.

How to calculate Cutting Speed for Constant-Cutting-Speed Operation?

With Reference Tool Life (T_ref), Tool Life (L), Time Proportion of Cutting Edge (Q), Taylor's Tool Life Exponent (n) & Reference Cutting Velocity (V_ref) we can find Cutting Speed for Constant-Cutting-Speed Operation using the formula - Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity.

What are the other ways to Calculate Cutting Velocity?

Here are the different ways to Calculate Cutting Velocity-

Cutting Velocity=Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent
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)

Can the Cutting Speed for Constant-Cutting-Speed Operation be negative?

No, the Cutting Speed for Constant-Cutting-Speed Operation, measured in Speed cannot be negative.

Which unit is used to measure Cutting Speed for Constant-Cutting-Speed Operation?

Cutting Speed for Constant-Cutting-Speed Operation 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 Speed for Constant-Cutting-Speed Operation can be measured.

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Cutting Speed for Constant-Cutting-Speed Operation Formula

​GoCutting Velocity given Rate of Increase of Wear-Land Width Formula

​GoInstantaneous Cutting Speed Formula

Cutting Speed for Constant-Cutting-Speed Operation Example

Cutting Speed for Constant-Cutting-Speed Operation Solution

Cutting Speed for Constant-Cutting-Speed Operation Formula Elements

Other Formulas to find Cutting Velocity

Other formulas in Cutting Speed category

How to Evaluate Cutting Speed for Constant-Cutting-Speed Operation?

FAQs on Cutting Speed for Constant-Cutting-Speed Operation

Variable Name

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

GoInstantaneous Cutting Speed Formula