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Taylor's Exponent for Minimum Machining Cost given Tool Life Formula

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GoTaylor's Exponent for Minimum Machining Cost per component Formula

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Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear. Check FAQs

n = \frac{(t c + (\frac{C}{R})) \cdot t q}{T + ((t c + (\frac{C}{R})) \cdot t q)}

n - Taylor's Tool Life Exponent?t_c - Time to Change One Tool?C - Cost of a Tool?R - Machining and Operating Rate?t_q - Time Proportion?T - Tool Life?

Taylor's Exponent for Minimum Machining Cost given Tool Life Example

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Here is how the Taylor's Exponent for Minimum Machining Cost given Tool Life equation looks like with Values.

Here is how the Taylor's Exponent for Minimum Machining Cost given Tool Life equation looks like with Units.

Here is how the Taylor's Exponent for Minimum Machining Cost given Tool Life equation looks like.

0.125 = \frac{(842.8571 + (\frac{100}{7})) \cdot 0.5}{3000 + ((842.8571 + (\frac{100}{7})) \cdot 0.5)}

0.125 = \frac{(842.8571s + (\frac{100}{7})) \cdot 0.5s}{3000s + ((842.8571s + (\frac{100}{7})) \cdot 0.5s)}

0.125 = \frac{(842.8571 + (\frac{100}{7})) \cdot 0.5}{3000 + ((842.8571 + (\frac{100}{7})) \cdot 0.5)}

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Taylor's Exponent for Minimum Machining Cost given Tool Life Solution

Follow our step by step solution on how to calculate Taylor's Exponent for Minimum Machining Cost given Tool Life?

FIRST Step Consider the formula

n = \frac{(t c + (\frac{C}{R})) \cdot t q}{T + ((t c + (\frac{C}{R})) \cdot t q)}

Next Step Substitute values of Variables

∴

n = \frac{(842.8571s + (\frac{100}{7})) \cdot 0.5s}{3000s + ((842.8571s + (\frac{100}{7})) \cdot 0.5s)}

Next Step Prepare to Evaluate

∴

n = \frac{(842.8571 + (\frac{100}{7})) \cdot 0.5}{3000 + ((842.8571 + (\frac{100}{7})) \cdot 0.5)}

Next Step Evaluate

∴

n = 0.12499999453125

LAST Step Rounding Answer

∴

n = 0.125

Taylor's Exponent for Minimum Machining Cost given Tool Life Formula Elements

Variables

Taylor's Tool Life Exponent

Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Taylor's Tool Life Exponent

Open Variable

Time to Change One Tool

Time to change one tool refers to the duration required to remove a worn-out or depleted cutting tool from the machine tool's spindle and install a new or reconditioned tool.

Symbol: t_c

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Open Variable

Cost of a Tool

Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of a Tool

Open Variable

Machining and Operating Rate

Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining and Operating Rate

Open Variable

Time Proportion

Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.

Symbol: t_q

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Proportion

Open Variable

Tool Life

Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Tool Life

Open Variable

Other Formulas to find Taylor's Tool Life Exponent

Go Taylor's Exponent for Minimum Machining Cost per component

n = 1 - (t min \cdot \frac{R}{C m})

Other formulas in Minimum Machining Cost category

Go Minimum Production Cost per Component

C p = R \cdot (t s + (K \cdot \frac{{(\frac{T}{L})}^{n}}{V \cdot (1 - n)}))

Go Machining and Operating Rate given Minimum Production Cost

R = \frac{C p}{t s + (K \cdot \frac{{(\frac{T}{L})}^{n}}{V \cdot (1 - n)})}

Go Non-Productive Time per component given Minimum Production Cost

t s = \frac{C p}{R} - (K \cdot \frac{{(\frac{T}{L})}^{n}}{V \cdot (1 - n)})

Go Constant for Machining Operation given Minimum Production Cost

K = (\frac{C p}{R} - t s) \cdot V \cdot \frac{1 - n}{{(\frac{T}{L})}^{n}}

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How to Evaluate Taylor's Exponent for Minimum Machining Cost given Tool Life?

Taylor's Exponent for Minimum Machining Cost given Tool Life evaluator uses Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)) to evaluate the Taylor's Tool Life Exponent, Taylor's Exponent for Minimum Machining Cost given Tool Life is a way to determine the experimental exponent of Tool Life for the Machining Tool when machining is done at the minimum cost possible for a Cutting Tool of given Tool Life. Taylor's Tool Life Exponent is denoted by n symbol.

How to evaluate Taylor's Exponent for Minimum Machining Cost given Tool Life using this online evaluator? To use this online evaluator for Taylor's Exponent for Minimum Machining Cost given Tool Life, enter Time to Change One Tool (t_c), Cost of a Tool (C), Machining and Operating Rate (R), Time Proportion (t_q) & Tool Life (T) and hit the calculate button.

FAQs on Taylor's Exponent for Minimum Machining Cost given Tool Life

What is the formula to find Taylor's Exponent for Minimum Machining Cost given Tool Life?

The formula of Taylor's Exponent for Minimum Machining Cost given Tool Life is expressed as Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)). Here is an example- 0.002583 = ((842.8571+(100/7))*0.5)/(3000+((842.8571+(100/7))*0.5)).

How to calculate Taylor's Exponent for Minimum Machining Cost given Tool Life?

With Time to Change One Tool (t_c), Cost of a Tool (C), Machining and Operating Rate (R), Time Proportion (t_q) & Tool Life (T) we can find Taylor's Exponent for Minimum Machining Cost given Tool Life using the formula - Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)).

What are the other ways to Calculate Taylor's Tool Life Exponent?

Here are the different ways to Calculate Taylor's Tool Life Exponent-

Taylor's Tool Life Exponent=1-(Machining Time for Minimum Cost*Machining and Operating Rate/Machining and Operating Cost of Each Product)

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