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

GoTool Life for minimum cost given Minimum Production Cost Formula

GoTool Life of One Tool for Minimum Machining Cost 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 (C ct + C) \cdot \frac{1 - n}{n \cdot R}

T - Tool Life?t_q - Time Proportion?C_ct - Cost of Changing Each Tool?C - Cost of a Tool?n - Taylor's Tool Life Exponent?R - Machining and Operating Rate?

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

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

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

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

3000 = 0.5 \cdot (5900 + 100) \cdot \frac{1 - 0.125}{0.125 \cdot 7}

3000s = 0.5s \cdot (5900 + 100) \cdot \frac{1 - 0.125}{0.125 \cdot 7}

3000 = 0.5 \cdot (5900 + 100) \cdot \frac{1 - 0.125}{0.125 \cdot 7}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 0.5s \cdot (5900 + 100) \cdot \frac{1 - 0.125}{0.125 \cdot 7}

Next Step Prepare to Evaluate

∴

T = 0.5 \cdot (5900 + 100) \cdot \frac{1 - 0.125}{0.125 \cdot 7}

LAST Step Evaluate

∴

T = 3000s

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

Cost of Changing Each Tool

The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.

Symbol: C_ct

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of Changing Each 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

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

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

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

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

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 given Tool Changing Cost per Tool?

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool evaluator uses 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) to evaluate the Tool Life, The Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool is a method to determine the Useful Life of a cutting tool required to operate on a workpiece when the Cost of Machining is minimum for a given Tool Life of Cutting Tool. Tool Life is denoted by T symbol.

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

FAQs on Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

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

The formula of Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool is expressed as 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). Here is an example- 62.5 = 0.5*(5900+100)*(1-0.125)/(0.125*7).

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

With Time Proportion (t_q), Cost of Changing Each Tool (C_ct), Cost of a Tool (C), Taylor's Tool Life Exponent (n) & Machining and Operating Rate (R) we can find Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool using the formula - 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).

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*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent

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

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

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

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool 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 given Tool Changing Cost per Tool can be measured.

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

​GoTool Life for minimum cost given Minimum Production Cost Formula

​GoTool Life of One Tool for Minimum Machining Cost Formula

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

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

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

FAQs on Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Variable Name

GoTool Life for minimum cost given Minimum Production Cost Formula

GoTool Life of One Tool for Minimum Machining Cost Formula