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Cost of 1 Tool given Tool Life for Minimum Machining Cost Formula

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

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

C_min - Cost of A Tool for Minimum Machining Cost?T - Tool Life?n - Taylor's Tool Life Exponent?Q - Time Proportion of Cutting Edge Engagement?t_c - Time to Change One Tool?M - Machining And Operating Rate?

Cost of 1 Tool given Tool Life for Minimum Machining Cost Example

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Here is how the Cost of 1 Tool given Tool Life for Minimum Machining Cost equation looks like with Values.

Here is how the Cost of 1 Tool given Tool Life for Minimum Machining Cost equation looks like with Units.

Here is how the Cost of 1 Tool given Tool Life for Minimum Machining Cost equation looks like.

22825.8917 = ((4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75) \cdot 101

22825.8917 = ((4500s \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75s) \cdot 101

22825.8917 = ((4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75) \cdot 101

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Cost of 1 Tool given Tool Life for Minimum Machining Cost Solution

Follow our step by step solution on how to calculate Cost of 1 Tool given Tool Life for Minimum Machining Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C min = ((4500s \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75s) \cdot 101

Next Step Prepare to Evaluate

∴

C min = ((4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75) \cdot 101

Next Step Evaluate

∴

C min = 22825.8916557638

LAST Step Rounding Answer

∴

C min = 22825.8917

Cost of 1 Tool given Tool Life for Minimum Machining Cost Formula Elements

Variables

Cost of A Tool for Minimum Machining Cost

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

Symbol: C_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Cost of A Tool for Minimum Machining Cost

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

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 Proportion of Cutting Edge Engagement

Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Time Proportion of Cutting Edge Engagement

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: s

Note: Value should be greater than 0.

Formulas to find Time to Change One Tool

Machining And Operating Rate

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

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Machining And Operating Rate

Other formulas in Tool Cost category

Go Tool Changing Cost per Tool given Machining Cost

C ct = (T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - C t

Go Time Proportion of Cutting Edge Engagement given Machining Cost

Q = T \cdot \frac{(\frac{C m}{t m}) - M}{M \cdot t c + C t}

Go Tool Changing Time for 1 Tool given Machining Cost

t c = \frac{(T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - C t}{M}

Go Cost of 1 Tool given Machining Cost

C t = (T \cdot \frac{(\frac{C m}{t m}) - M}{Q}) - (M \cdot t c)

How to Evaluate Cost of 1 Tool given Tool Life for Minimum Machining Cost?

Cost of 1 Tool given Tool Life for Minimum Machining Cost evaluator uses Cost of A Tool for Minimum Machining Cost = ((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)*Machining And Operating Rate to evaluate the Cost of A Tool for Minimum Machining Cost, The Cost of 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum amount available to be spent on renewing the Machining Tool when the Minimum Cost of Machining per component is known for a Cutting Tool of given Tool Life. Cost of A Tool for Minimum Machining Cost is denoted by C_min symbol.

How to evaluate Cost of 1 Tool given Tool Life for Minimum Machining Cost using this online evaluator? To use this online evaluator for Cost of 1 Tool given Tool Life for Minimum Machining Cost, enter Tool Life (T), Taylor's Tool Life Exponent (n), Time Proportion of Cutting Edge Engagement (Q), Time to Change One Tool (t_c) & Machining And Operating Rate (M) and hit the calculate button.

FAQs on Cost of 1 Tool given Tool Life for Minimum Machining Cost

What is the formula to find Cost of 1 Tool given Tool Life for Minimum Machining Cost?

The formula of Cost of 1 Tool given Tool Life for Minimum Machining Cost is expressed as Cost of A Tool for Minimum Machining Cost = ((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)*Machining And Operating Rate. Here is an example- 22825.89 = ((4500*0.032362/((1-0.032362)*0.5))-75)*101.

How to calculate Cost of 1 Tool given Tool Life for Minimum Machining Cost?

With Tool Life (T), Taylor's Tool Life Exponent (n), Time Proportion of Cutting Edge Engagement (Q), Time to Change One Tool (t_c) & Machining And Operating Rate (M) we can find Cost of 1 Tool given Tool Life for Minimum Machining Cost using the formula - Cost of A Tool for Minimum Machining Cost = ((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)*Machining And Operating Rate.

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Cost of 1 Tool given Tool Life for Minimum Machining Cost Formula

Cost of 1 Tool given Tool Life for Minimum Machining Cost Example

Cost of 1 Tool given Tool Life for Minimum Machining Cost Solution

Cost of 1 Tool given Tool Life for Minimum Machining Cost Formula Elements

Other formulas in Tool Cost category

How to Evaluate Cost of 1 Tool given Tool Life for Minimum Machining Cost?

FAQs on Cost of 1 Tool given Tool Life for Minimum Machining Cost

Variable Name