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Tool Life for Minimum Production Time given Tool Changing Cost Formula

GoTool Life for Minimum Production Time 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

L = C ct \cdot \frac{1 - n mpt}{n mpt \cdot M min}

L - Tool Life?C_ct - Cost of Changing Each Tool?n_mpt - Taylor's Exponent For Minimum Production Time?M_min - Machining And Operating Rate in Minimum Time?

Tool Life for Minimum Production Time given Tool Changing Cost Example

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Here is how the Tool Life for Minimum Production Time given Tool Changing Cost equation looks like with Values.

Here is how the Tool Life for Minimum Production Time given Tool Changing Cost equation looks like with Units.

Here is how the Tool Life for Minimum Production Time given Tool Changing Cost equation looks like.

20 = 7 \cdot \frac{1 - 0.5}{0.5 \cdot 0.35}

20s = 7 \cdot \frac{1 - 0.5}{0.5 \cdot 0.35}

20 = 7 \cdot \frac{1 - 0.5}{0.5 \cdot 0.35}

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Tool Life for Minimum Production Time given Tool Changing Cost Solution

Follow our step by step solution on how to calculate Tool Life for Minimum Production Time given Tool Changing Cost?

FIRST Step Consider the formula

L = C ct \cdot \frac{1 - n mpt}{n mpt \cdot M min}

Next Step Substitute values of Variables

∴

L = 7 \cdot \frac{1 - 0.5}{0.5 \cdot 0.35}

Next Step Prepare to Evaluate

∴

L = 7 \cdot \frac{1 - 0.5}{0.5 \cdot 0.35}

LAST Step Evaluate

∴

L = 20s

Tool Life for Minimum Production Time given Tool Changing 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: L

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Tool Life

Cost of Changing Each Tool

Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one 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

Taylor's Exponent For Minimum Production Time

Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.

Symbol: n_mpt

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Taylor's Exponent For Minimum Production Time

Machining And Operating Rate in Minimum Time

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

Symbol: M_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate in Minimum Time

Other Formulas to find Tool Life

Go Tool Life for Minimum Production Time

L = t ct \cdot \frac{1 - n mpt}{n mpt}

Other formulas in Minimum Production Time category

Go Cutting Velocity for Minimum Production Time

V p = V ref \cdot ({(n mpt \cdot \frac{L ref}{(1 - n mpt) \cdot t ct})}^{n mpt})

Go Reference Cutting Velocity using Minimum Production Time

V ref = \frac{V p}{{(n mpt \cdot \frac{L ref}{(1 - n mpt) \cdot t ct})}^{n mpt}}

Go Reference Tool Life given Min Production time

L ref = {(\frac{V p}{V ref})}^{\frac{1}{n mpt}} \cdot (1 - n mpt) \cdot \frac{t ct}{n mpt}

Go Tool Changing Time for each Tool given min production time

t ct = \frac{L ref \cdot \frac{n mpt}{1 - n mpt}}{{(\frac{V p}{V ref})}^{\frac{1}{n mpt}}}

How to Evaluate Tool Life for Minimum Production Time given Tool Changing Cost?

Tool Life for Minimum Production Time given Tool Changing Cost evaluator uses Tool Life = Cost of Changing Each Tool*(1-Taylor's Exponent For Minimum Production Time)/(Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time) to evaluate the Tool Life, The Tool Life for Minimum Production Time given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Time of Production for a given Batch is Minimum. Tool Life is denoted by L symbol.

How to evaluate Tool Life for Minimum Production Time given Tool Changing Cost using this online evaluator? To use this online evaluator for Tool Life for Minimum Production Time given Tool Changing Cost, enter Cost of Changing Each Tool (C_ct), Taylor's Exponent For Minimum Production Time (n_mpt) & Machining And Operating Rate in Minimum Time (M_min) and hit the calculate button.

FAQs on Tool Life for Minimum Production Time given Tool Changing Cost

What is the formula to find Tool Life for Minimum Production Time given Tool Changing Cost?

The formula of Tool Life for Minimum Production Time given Tool Changing Cost is expressed as Tool Life = Cost of Changing Each Tool*(1-Taylor's Exponent For Minimum Production Time)/(Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time). Here is an example- 11046.93 = 7*(1-0.5)/(0.5*0.35).

How to calculate Tool Life for Minimum Production Time given Tool Changing Cost?

With Cost of Changing Each Tool (C_ct), Taylor's Exponent For Minimum Production Time (n_mpt) & Machining And Operating Rate in Minimum Time (M_min) we can find Tool Life for Minimum Production Time given Tool Changing Cost using the formula - Tool Life = Cost of Changing Each Tool*(1-Taylor's Exponent For Minimum Production Time)/(Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time).

What are the other ways to Calculate Tool Life?

Here are the different ways to Calculate Tool Life-

Tool Life=Time to Change Tool For Minimum Production Time*(1-Taylor's Exponent For Minimum Production Time)/Taylor's Exponent For Minimum Production Time

Can the Tool Life for Minimum Production Time given Tool Changing Cost be negative?

No, the Tool Life for Minimum Production Time given Tool Changing Cost, measured in Time cannot be negative.

Which unit is used to measure Tool Life for Minimum Production Time given Tool Changing Cost?

Tool Life for Minimum Production Time given Tool Changing 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 for Minimum Production Time given Tool Changing Cost can be measured.

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Tool Life for Minimum Production Time given Tool Changing Cost Formula

​GoTool Life for Minimum Production Time Formula

Tool Life for Minimum Production Time given Tool Changing Cost Example

Tool Life for Minimum Production Time given Tool Changing Cost Solution

Tool Life for Minimum Production Time given Tool Changing Cost Formula Elements

Other Formulas to find Tool Life

Other formulas in Minimum Production Time category

How to Evaluate Tool Life for Minimum Production Time given Tool Changing Cost?

FAQs on Tool Life for Minimum Production Time given Tool Changing Cost

Variable Name

GoTool Life for Minimum Production Time Formula