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Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Formula

GoReference Tool Life given Optimum Spindle Speed Formula

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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. Check FAQs

T ref = {(\frac{V}{V ref})}^{\frac{1}{n}} \cdot Q \cdot L

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

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Example

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

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

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

5 = {(\frac{8000}{5000})}^{\frac{1}{0.5129}} \cdot 0.04 \cdot 50

5min = {(\frac{8000mm/min}{5000mm/min})}^{\frac{1}{0.5129}} \cdot 0.04 \cdot 50min

5 = {(\frac{8000}{5000})}^{\frac{1}{0.5129}} \cdot 0.04 \cdot 50

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Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Solution

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

FIRST Step Consider the formula

T ref = {(\frac{V}{V ref})}^{\frac{1}{n}} \cdot Q \cdot L

Next Step Substitute values of Variables

∴

T ref = {(\frac{8000mm/min}{5000mm/min})}^{\frac{1}{0.5129}} \cdot 0.04 \cdot 50min

Next Step Convert Units

∴

T ref = {(\frac{0.1333m/s}{0.0833m/s})}^{\frac{1}{0.5129}} \cdot 0.04 \cdot 3000s

Next Step Prepare to Evaluate

∴

T ref = {(\frac{0.1333}{0.0833})}^{\frac{1}{0.5129}} \cdot 0.04 \cdot 3000

Next Step Evaluate

∴

T ref = 299.999782815723s

Next Step Convert to Output's Unit

∴

T ref = 4.99999638026205min

LAST Step Rounding Answer

∴

T ref = 5min

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Formula Elements

Variables

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

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 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

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

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

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

Other Formulas to find Reference Tool Life

Go Reference Tool Life given Optimum Spindle Speed

T ref = \frac{{(ω s \cdot 2 \cdot π \cdot \frac{R o}{V s})}^{\frac{1}{n}} \cdot (1 - n) \cdot (C t \cdot t c + C t) \cdot (1 - {R w}^{\frac{1 + n}{n}})}{(1 + n) \cdot C t \cdot (1 - R w)}

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 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}

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

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation evaluator uses Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life to evaluate the Reference Tool Life, The Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation refers to the estimated or predetermined lifespan of a cutting tool under specific machining conditions, particularly when the cutting speed remains constant throughout the machining process. Reference Tool Life is denoted by T_ref symbol.

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

FAQs on Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation

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

The formula of Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is expressed as Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life. Here is an example- 0.083333 = (0.133333333333333/0.0833333333333333)^(1/0.512942)*0.04*3000.

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

With Cutting Velocity (V), Reference Cutting Velocity (V_ref), Taylor's Tool Life Exponent (n), Time Proportion of Cutting Edge (Q) & Tool Life (L) we can find Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation using the formula - Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life.

What are the other ways to Calculate Reference Tool Life?

Here are the different ways to Calculate Reference Tool Life-

Reference Tool Life=((Rotational Frequency of Spindle*2*pi*Outer Radius of Workpiece/Reference Cutting Velocity Spindle Speed)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)*(Cost of a Tool*Time to Change One Tool+Cost of a Tool)*(1-Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))/((1+Taylor's Tool Life Exponent)*Cost of a Tool*(1-Workpiece Radius Ratio))

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

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

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

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation can be measured.

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Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Formula

​GoReference Tool Life given Optimum Spindle Speed Formula

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Example

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Solution

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Formula Elements

Other Formulas to find Reference Tool Life

Other formulas in Cutting Speed category

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

FAQs on Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation

Variable Name

GoReference Tool Life given Optimum Spindle Speed Formula