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Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Formula

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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. Check FAQs

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

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

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Example

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Here is how the Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation equation looks like with Values.

Here is how the Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation equation looks like with Units.

Here is how the Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation equation looks like.

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

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

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

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Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Solution

Follow our step by step solution on how to calculate Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

Q = 300s \cdot \frac{{(\frac{0.0833m/s}{0.1333m/s})}^{\frac{1}{0.5129}}}{3000s}

Next Step Prepare to Evaluate

∴

Q = 300 \cdot \frac{{(\frac{0.0833}{0.1333})}^{\frac{1}{0.5129}}}{3000}

Next Step Evaluate

∴

Q = 0.0400000289579246

LAST Step Rounding Answer

∴

Q = 0.04

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Formula Elements

Variables

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

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

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 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 Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation evaluator uses Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life to evaluate the Time Proportion of Cutting Edge, The Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation refers to the fraction of time during a machining operation that the cutting edge of the tool is actively engaged in cutting the workpiece material. This parameter is influenced by the cutting speed, feed rate, depth of cut, tool geometry, and machining conditions. Time Proportion of Cutting Edge is denoted by Q symbol.

How to evaluate Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation using this online evaluator? To use this online evaluator for Time Proportion of Edge 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) & Tool Life (L) and hit the calculate button.

FAQs on Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation

What is the formula to find Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?

The formula of Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation is expressed as Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life. Here is an example- 56.00004 = 300*((0.0833333333333333/0.133333333333333)^(1/0.512942))/3000.

How to calculate Time Proportion of Edge 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) & Tool Life (L) we can find Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation using the formula - Time Proportion of Cutting Edge = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life.

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Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Formula

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Example

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Solution

Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation Formula Elements

Other formulas in Cutting Speed category

How to Evaluate Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation?

FAQs on Time Proportion of Edge given Cutting Speed for Constant-Cutting-Speed Operation

Variable Name