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

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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. Check FAQs

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

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

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

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

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

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

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

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

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

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

L = 300s \cdot \frac{{(\frac{0.0833m/s}{0.1333m/s})}^{\frac{1}{0.5129}}}{0.04}

Next Step Prepare to Evaluate

∴

L = 300 \cdot \frac{{(\frac{0.0833}{0.1333})}^{\frac{1}{0.5129}}}{0.04}

Next Step Evaluate

∴

L = 3000.00217184434s

Next Step Convert to Output's Unit

∴

L = 50.0000361974057min

LAST Step Rounding Answer

∴

L = 50min

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

Variables

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

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

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

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

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 Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?

Tool Life given Cutting Speed for Constant-Cutting-Speed Operation evaluator uses Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge to evaluate the Tool Life, The Tool Life given Cutting Speed for Constant-Cutting-Speed Operation refers to the duration or number of components machined before a cutting tool needs to be replaced or reconditioned due to wear, chipping, or other forms of degradation. It's a crucial parameter in machining operations as it directly impacts productivity, machining costs, and part quality. For a constant-cutting-speed operation, where the cutting speed remains consistent throughout the machining process, the relationship between tool life and cutting speed can be modeled using tool life equations. Tool Life is denoted by L symbol.

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

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

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

The formula of Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is expressed as Tool Life = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Time Proportion of Cutting Edge. Here is an example- 1166.668 = 300*((0.0833333333333333/0.133333333333333)^(1/0.512942))/0.04.

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

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

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

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

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

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 Tool Life given Cutting Speed for Constant-Cutting-Speed Operation can be measured.

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

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

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

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

Other formulas in Cutting Speed category

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

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

Variable Name