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Tool Life for Minimum Production Cost given Tool Changing 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 = (1 - n) \cdot \frac{C ct + C t}{n \cdot C t}

T - Tool Life?n - Taylor's Tool Life Exponent?C_ct - Cost of Changing Each Tool?C_t - Cost of A Tool?

Tool Life for Minimum Production Cost given Tool Changing Cost Example

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

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

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

0.017 = (1 - 0.5408) \cdot \frac{9.8 + 48}{0.5408 \cdot 48}

0.017min = (1 - 0.5408) \cdot \frac{9.8 + 48}{0.5408 \cdot 48}

0.017 = (1 - 0.5408) \cdot \frac{9.8 + 48}{0.5408 \cdot 48}

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Tool Life for Minimum Production Cost given Tool Changing Cost Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = (1 - 0.5408) \cdot \frac{9.8 + 48}{0.5408 \cdot 48}

Next Step Prepare to Evaluate

∴

T = (1 - 0.5408) \cdot \frac{9.8 + 48}{0.5408 \cdot 48}

Next Step Evaluate

∴

T = 1.0223987706277s

Next Step Convert to Output's Unit

∴

T = 0.0170399795104617min

LAST Step Rounding Answer

∴

T = 0.017min

Tool Life for Minimum Production Cost 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: T

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Formulas to find Tool Life

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

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

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 given Tool Changing Cost?

Tool Life for Minimum Production Cost given Tool Changing Cost evaluator uses Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of Changing Each Tool+Cost of A Tool)/(Taylor's Tool Life Exponent*Cost of A Tool) to evaluate the Tool Life, The Tool Life for Minimum Production Cost given Tool Changing 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 is denoted by T symbol.

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

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

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

The formula of Tool Life for Minimum Production Cost given Tool Changing Cost is expressed as Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of Changing Each Tool+Cost of A Tool)/(Taylor's Tool Life Exponent*Cost of A Tool). Here is an example- 0.015021 = (1-0.540818)*(9.8+48)/(0.540818*48).

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

With Taylor's Tool Life Exponent (n), Cost of Changing Each Tool (C_ct) & Cost of A Tool (C_t) we can find Tool Life for Minimum Production Cost given Tool Changing Cost using the formula - Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of Changing Each Tool+Cost of A Tool)/(Taylor's Tool Life Exponent*Cost of A Tool).

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

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

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

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

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Tool Life for Minimum Production Cost given Tool Changing Cost Formula

Tool Life for Minimum Production Cost given Tool Changing Cost Example

Tool Life for Minimum Production Cost given Tool Changing Cost Solution

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

Other formulas in Minimum Production Cost category

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

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

Variable Name