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Tool Life of One Tool for Minimum Machining Cost Formula

GoTool Life for minimum cost given Minimum Production Cost Formula

GoTool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool Formula

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

T = t q \cdot (t c + (\frac{C}{R})) \cdot \frac{1 - n}{n}

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

Tool Life of One Tool for Minimum Machining Cost Example

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Here is how the Tool Life of One Tool for Minimum Machining Cost equation looks like with Values.

Here is how the Tool Life of One Tool for Minimum Machining Cost equation looks like with Units.

Here is how the Tool Life of One Tool for Minimum Machining Cost equation looks like.

2999.9998 = 0.5 \cdot (842.8571 + (\frac{100}{7})) \cdot \frac{1 - 0.125}{0.125}

2999.9998s = 0.5s \cdot (842.8571s + (\frac{100}{7})) \cdot \frac{1 - 0.125}{0.125}

2999.9998 = 0.5 \cdot (842.8571 + (\frac{100}{7})) \cdot \frac{1 - 0.125}{0.125}

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Tool Life of One Tool for Minimum Machining Cost Solution

Follow our step by step solution on how to calculate Tool Life of One Tool for Minimum Machining Cost?

FIRST Step Consider the formula

T = t q \cdot (t c + (\frac{C}{R})) \cdot \frac{1 - n}{n}

Next Step Substitute values of Variables

∴

T = 0.5s \cdot (842.8571s + (\frac{100}{7})) \cdot \frac{1 - 0.125}{0.125}

Next Step Prepare to Evaluate

∴

T = 0.5 \cdot (842.8571 + (\frac{100}{7})) \cdot \frac{1 - 0.125}{0.125}

Next Step Evaluate

∴

T = 2999.99985s

LAST Step Rounding Answer

∴

T = 2999.9998s

Tool Life of One Tool for Minimum Machining Cost Formula Elements

Variables

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

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

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

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

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

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

Other Formulas to find Tool Life

Go Tool Life for minimum cost given Minimum Production Cost

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

Go Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

T = t q \cdot (C ct + C) \cdot \frac{1 - n}{n \cdot R}

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}}

How to Evaluate Tool Life of One Tool for Minimum Machining Cost?

Tool Life of One Tool for Minimum Machining Cost evaluator uses Tool Life = Time Proportion*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent to evaluate the Tool Life, The Tool Life of One Tool for Minimum Machining Cost formula is used to find the Useful Life of a cutting tool required to operate on a workpiece when the Cost of Machining is minimum. Tool Life is denoted by T symbol.

How to evaluate Tool Life of One Tool for Minimum Machining Cost using this online evaluator? To use this online evaluator for Tool Life of One Tool for Minimum Machining Cost, enter Time Proportion (t_q), Time to Change One Tool (t_c), Cost of a Tool (C), Machining and Operating Rate (R) & Taylor's Tool Life Exponent (n) and hit the calculate button.

FAQs on Tool Life of One Tool for Minimum Machining Cost

What is the formula to find Tool Life of One Tool for Minimum Machining Cost?

The formula of Tool Life of One Tool for Minimum Machining Cost is expressed as Tool Life = Time Proportion*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent. Here is an example- 54.375 = 0.5*(842.8571+(100/7))*(1-0.125)/0.125.

How to calculate Tool Life of One Tool for Minimum Machining Cost?

With Time Proportion (t_q), Time to Change One Tool (t_c), Cost of a Tool (C), Machining and Operating Rate (R) & Taylor's Tool Life Exponent (n) we can find Tool Life of One Tool for Minimum Machining Cost using the formula - Tool Life = Time Proportion*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent.

What are the other ways to Calculate Tool Life?

Here are the different ways to Calculate Tool Life-

Tool Life=Reference Tool Life*((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))
Tool Life=Time Proportion*(Cost of Changing Each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)

Can the Tool Life of One Tool for Minimum Machining Cost be negative?

No, the Tool Life of One Tool for Minimum Machining Cost, measured in Time cannot be negative.

Which unit is used to measure Tool Life of One Tool for Minimum Machining Cost?

Tool Life of One Tool for Minimum Machining Cost is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Tool Life of One Tool for Minimum Machining Cost can be measured.

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Tool Life of One Tool for Minimum Machining Cost Formula

​GoTool Life for minimum cost given Minimum Production Cost Formula

​GoTool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool Formula

Tool Life of One Tool for Minimum Machining Cost Example

Tool Life of One Tool for Minimum Machining Cost Solution

Tool Life of One Tool for Minimum Machining Cost Formula Elements

Other Formulas to find Tool Life

Other formulas in Minimum Machining Cost category

How to Evaluate Tool Life of One Tool for Minimum Machining Cost?

FAQs on Tool Life of One Tool for Minimum Machining Cost

Variable Name

GoTool Life for minimum cost given Minimum Production Cost Formula

GoTool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool Formula