FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

Fx Copy

LaTeX Copy

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

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

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

With values

With units

Only example

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

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

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

4999.9981 = \frac{8000}{{(\frac{5}{50 \cdot 0.04})}^{0.5129}}

4999.9981mm/min = \frac{8000mm/min}{{(\frac{5min}{50min \cdot 0.04})}^{0.5129}}

4999.9981 = \frac{8000}{{(\frac{5}{50 \cdot 0.04})}^{0.5129}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Machining » fx Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V ref = \frac{8000mm/min}{{(\frac{5min}{50min \cdot 0.04})}^{0.5129}}

Next Step Convert Units

∴

V ref = \frac{0.1333m/s}{{(\frac{300s}{3000s \cdot 0.04})}^{0.5129}}

Next Step Prepare to Evaluate

∴

V ref = \frac{0.1333}{{(\frac{300}{3000 \cdot 0.04})}^{0.5129}}

Next Step Evaluate

∴

V ref = 0.0833333023880674m/s

Next Step Convert to Output's Unit

∴

V ref = 4999.99814328404mm/min

LAST Step Rounding Answer

∴

V ref = 4999.9981mm/min

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

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

Other Formulas to find Reference Cutting Velocity

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

V ref = \frac{V}{{(V r \cdot \frac{T ref}{w})}^{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 Cutting Velocity for Constant-Cutting-Speed Operation?

Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation evaluator uses Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent) to evaluate the Reference Cutting Velocity, The Reference Cutting Velocity given Cutting velocity for Constant-Cutting-Speed Operation is a method to determine the Cutting Velocity for the reference condition when operated in a Constant Surface Speed condition which involves maintaining a consistent cutting speed (also known as cutting velocity) throughout the machining process. This approach ensures stable machining conditions and consistent material removal rates. Reference Cutting Velocity is denoted by V_ref symbol.

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

FAQs on Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation

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

The formula of Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation is expressed as Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent). Here is an example- 7.3E+6 = 0.133333333333333/((300/(3000*0.04))^0.512942).

How to calculate Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation?

With Cutting Velocity (V), Reference Tool Life (T_ref), Tool Life (L), Time Proportion of Cutting Edge (Q) & Taylor's Tool Life Exponent (n) we can find Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation using the formula - Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^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/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)

Can the Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation be negative?

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

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

Reference Cutting Velocity given Cutting Velocity 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 Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

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

​GoReference Cutting Velocity given Rate of Increase of Wear-Land Width Formula

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

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

Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation Formula Elements

Other Formulas to find Reference Cutting Velocity

Other formulas in Cutting Speed category

How to Evaluate Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation?

FAQs on Reference Cutting Velocity given Cutting Velocity for Constant-Cutting-Speed Operation

Variable Name

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