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Cost of One Tool for Minimum Production Cost given Tool Changing Cost Formula

GoCost of One Tool given Cutting Velocity Formula

GoCost of One Tool given Tool Life Formula

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

C t = M \cdot t c \cdot (\frac{2 \cdot n - 1}{1 - n})

C_t - Cost of A Tool?M - Machining And Operating Rate?t_c - Time to Change One Tool?n - Taylor's Tool Life Exponent?

Cost of One Tool for Minimum Production Cost given Tool Changing Cost Example

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

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

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

48.0021 = 5 \cdot 0.9 \cdot (\frac{2 \cdot 0.5408 - 1}{1 - 0.5408})

48.0021 = 5 \cdot 0.9min \cdot (\frac{2 \cdot 0.5408 - 1}{1 - 0.5408})

48.0021 = 5 \cdot 0.9 \cdot (\frac{2 \cdot 0.5408 - 1}{1 - 0.5408})

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Cost of One Tool for Minimum Production Cost given Tool Changing Cost Solution

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

FIRST Step Consider the formula

C t = M \cdot t c \cdot (\frac{2 \cdot n - 1}{1 - n})

Next Step Substitute values of Variables

∴

C t = 5 \cdot 0.9min \cdot (\frac{2 \cdot 0.5408 - 1}{1 - 0.5408})

Next Step Convert Units

∴

C t = 5 \cdot 54s \cdot (\frac{2 \cdot 0.5408 - 1}{1 - 0.5408})

Next Step Prepare to Evaluate

∴

C t = 5 \cdot 54 \cdot (\frac{2 \cdot 0.5408 - 1}{1 - 0.5408})

Next Step Evaluate

∴

C t = 48.0021429411432

LAST Step Rounding Answer

∴

C t = 48.0021

Cost of One Tool for Minimum Production Cost given Tool Changing Cost Formula Elements

Variables

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

Machining And Operating Rate

Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads for minimum production cost.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate

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

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 Cost of A Tool

Go Cost of One Tool given Cutting Velocity

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

Go Cost of One Tool given Tool Life

C t = M \cdot t c \cdot (\frac{2 \cdot n - 1}{1 - n})

Go Cost of One Tool for Minimum Production Cost given cutting speed

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

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 Cost of One Tool for Minimum Production Cost given Tool Changing Cost?

Cost of One Tool for Minimum Production Cost given Tool Changing Cost evaluator uses Cost of A Tool = Machining And Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent)) to evaluate the Cost of A Tool, The Cost of One Tool for Minimum Production Cost given Tool Changing Cost is a method to determine the maximum amount available to be spent on renewing the Machining Tool, such that the Total Production Cost is Minimum in reference to the Tool Life of the Tool. Cost of A Tool is denoted by C_t symbol.

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

FAQs on Cost of One Tool for Minimum Production Cost given Tool Changing Cost

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

The formula of Cost of One Tool for Minimum Production Cost given Tool Changing Cost is expressed as Cost of A Tool = Machining And Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent)). Here is an example- 4.800214 = 5*54*((2*0.540818-1)/(1-0.540818)).

How to calculate Cost of One Tool for Minimum Production Cost given Tool Changing Cost?

With Machining And Operating Rate (M), Time to Change One Tool (t_c) & Taylor's Tool Life Exponent (n) we can find Cost of One Tool for Minimum Production Cost given Tool Changing Cost using the formula - Cost of A Tool = Machining And Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent)).

What are the other ways to Calculate Cost of A Tool?

Here are the different ways to Calculate Cost of A Tool-

Cost of A Tool=Machining And Operating Rate*((Reference Tool Life*(Taylor's Tool Life Exponent For Hard Material/(Taylor's Tool Life Exponent For Hard Material-1))*(Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent For Hard Material))-Time to Change One Tool)
Cost of A Tool=Machining And Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent))
Cost of A Tool=Machining And Operating Rate*((Reference Tool Life*(Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))-Time to Change One Tool)

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Cost of One Tool for Minimum Production Cost given Tool Changing Cost Formula

​GoCost of One Tool given Cutting Velocity Formula

​GoCost of One Tool given Tool Life Formula

Cost of One Tool for Minimum Production Cost given Tool Changing Cost Example

Cost of One Tool for Minimum Production Cost given Tool Changing Cost Solution

Cost of One Tool for Minimum Production Cost given Tool Changing Cost Formula Elements

Other Formulas to find Cost of A Tool

Other formulas in Minimum Production Cost category

How to Evaluate Cost of One Tool for Minimum Production Cost given Tool Changing Cost?

FAQs on Cost of One Tool for Minimum Production Cost given Tool Changing Cost

Variable Name

GoCost of One Tool given Cutting Velocity Formula

GoCost of One Tool given Tool Life Formula