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Tool Life for Minimum Production Cost Formula

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Tool Life For Minimum Production Cost 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 min = (1 - n) \cdot \frac{t c + (\frac{C t}{C t})}{n}

T_min - Tool Life For Minimum Production Cost?n - Taylor's Tool Life Exponent?t_c - Time to Change One Tool?C_t - Cost of A Tool?

Tool Life for Minimum Production Cost Example

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

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

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

0.7783 = (1 - 0.5408) \cdot \frac{0.9 + (\frac{48}{48})}{0.5408}

0.7783min = (1 - 0.5408) \cdot \frac{0.9min + (\frac{48}{48})}{0.5408}

0.7783 = (1 - 0.5408) \cdot \frac{0.9 + (\frac{48}{48})}{0.5408}

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Tool Life for Minimum Production Cost Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T min = (1 - 0.5408) \cdot \frac{0.9min + (\frac{48}{48})}{0.5408}

Next Step Convert Units

∴

T min = (1 - 0.5408) \cdot \frac{54s + (\frac{48}{48})}{0.5408}

Next Step Prepare to Evaluate

∴

T min = (1 - 0.5408) \cdot \frac{54 + (\frac{48}{48})}{0.5408}

Next Step Evaluate

∴

T min = 46.6977985200197s

Next Step Convert to Output's Unit

∴

T min = 0.778296642000328min

LAST Step Rounding Answer

∴

T min = 0.7783min

Tool Life for Minimum Production Cost Formula Elements

Variables

Tool Life For Minimum Production Cost

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

Symbol: T_min

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Tool Life For Minimum Production Cost

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

Time to Change One Tool

Time to Change One Tool is the measure of time it takes to change one tool during machining.

Symbol: t_c

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Cost of A Tool

Cost of A Tool is simply the cost of one tool being used for machining.

Symbol: C_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of A Tool

Other formulas in Minimum Production Cost category

Go Cutting Velocity for Minimum Production Cost

V = V ref \cdot {(\frac{n \cdot C t \cdot L ref}{(1 - n) \cdot (C t \cdot t c + C t)})}^{n}

Go Reference Cutting Velocity given Cutting Velocity

V ref = \frac{V}{{(\frac{n \cdot C t \cdot L ref}{(1 - n) \cdot (C t \cdot t c + C t)})}^{n}}

Go Reference Tool Life given Cutting Velocity

L ref = {(\frac{V}{V ref})}^{\frac{1}{n}} \cdot (1 - n) \cdot \frac{C t \cdot t c + C t}{n \cdot C t}

Go Machining and Operating Rate using Minimum Production Cost

M = (\frac{C t}{(L ref \cdot (\frac{n h}{n h - 1}) \cdot {(\frac{V ref}{V})}^{\frac{1}{n h}}) - t c})

How to Evaluate Tool Life for Minimum Production Cost?

Tool Life for Minimum Production Cost evaluator uses Tool Life For Minimum Production Cost = (1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool))/Taylor's Tool Life Exponent to evaluate the Tool Life For Minimum Production Cost, The Tool Life for Minimum Production Cost is a method to determine the Tool Life required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum. Tool Life For Minimum Production Cost is denoted by T_min symbol.

How to evaluate Tool Life for Minimum Production Cost using this online evaluator? To use this online evaluator for Tool Life for Minimum Production Cost, enter Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c) & Cost of A Tool (C_t) and hit the calculate button.

FAQs on Tool Life for Minimum Production Cost

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

The formula of Tool Life for Minimum Production Cost is expressed as Tool Life For Minimum Production Cost = (1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool))/Taylor's Tool Life Exponent. Here is an example- 0.012972 = (1-0.540818)*(54+(48/48))/0.540818.

How to calculate Tool Life for Minimum Production Cost?

With Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c) & Cost of A Tool (C_t) we can find Tool Life for Minimum Production Cost using the formula - Tool Life For Minimum Production Cost = (1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool))/Taylor's Tool Life Exponent.

Can the Tool Life for Minimum Production Cost be negative?

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

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

Tool Life for Minimum Production Cost is usually measured using the Minute[min] for Time. Second[min], Millisecond[min], Microsecond[min] are the few other units in which Tool Life for Minimum Production Cost can be measured.

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Tool Life for Minimum Production Cost Formula

Tool Life for Minimum Production Cost Example

Tool Life for Minimum Production Cost Solution

Tool Life for Minimum Production Cost Formula Elements

Other formulas in Minimum Production Cost category

How to Evaluate Tool Life for Minimum Production Cost?

FAQs on Tool Life for Minimum Production Cost

Variable Name