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Machining and Operating Rate given Tool Life for Minimum Machining Cost Formula

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

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

M_cmin - Minimum Machining Cost And Operating Rate?C_t - Cost of A Tool?T - Tool Life?n - Taylor's Tool Life Exponent?Q - Time Proportion of Cutting Edge Engagement?t_min - Time to Change One Tool For Minimum Cost?

Machining and Operating Rate given Tool Life for Minimum Machining Cost Example

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Here is how the Machining and Operating Rate given Tool Life for Minimum Machining Cost equation looks like with Values.

Here is how the Machining and Operating Rate given Tool Life for Minimum Machining Cost equation looks like with Units.

Here is how the Machining and Operating Rate given Tool Life for Minimum Machining Cost equation looks like.

0.4425 = \frac{100}{(75 \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 1.25}

0.4425 = \frac{100}{(75min \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 1.25min}

0.4425 = \frac{100}{(75 \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 1.25}

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Machining and Operating Rate given Tool Life for Minimum Machining Cost Solution

Follow our step by step solution on how to calculate Machining and Operating Rate given Tool Life for Minimum Machining Cost?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M cmin = \frac{100}{(75min \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 1.25min}

Next Step Convert Units

∴

M cmin = \frac{100}{(4500s \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75s}

Next Step Prepare to Evaluate

∴

M cmin = \frac{100}{(4500 \cdot \frac{0.0324}{(1 - 0.0324) \cdot 0.5}) - 75}

Next Step Evaluate

∴

M cmin = 0.44247997634956

LAST Step Rounding Answer

∴

M cmin = 0.4425

Machining and Operating Rate given Tool Life for Minimum Machining Cost Formula Elements

Variables

Minimum Machining Cost And Operating Rate

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

Symbol: M_cmin

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

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.

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.

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.

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.

Time to Change One Tool For Minimum Cost

Time to Change One Tool For Minimum Cost is the measure of time it takes to change one tool during machining such the machining cost is minimum.

Symbol: t_min

Measurement: TimeUnit: min

Note: Value should be greater than 0.

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Formula and 400+ more formulas!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Formula and 400+ more formulas!

Other formulas in Machining Cost category

Go Total Machining and Operating Cost

C r = M \cdot TPT

Go Machining and Operating Rate given Total Machining and Operating Cost

M = \frac{C r}{TPT}

Go Total Machining and Operating Costs given Total Production Cost

C o = TPC - (TTC + TCC + TNPC)

Go Total Machining and Operating Costs using Average Production Cost

C o = (C pr - (C' avg \cdot NPT) - (\frac{N t}{B} \cdot (C' avg \cdot t c + C' avg))) \cdot B

How to Evaluate Machining and Operating Rate given Tool Life for Minimum Machining Cost?

Machining and Operating Rate given Tool Life for Minimum Machining Cost evaluator uses Minimum Machining Cost And Operating Rate = Cost of A Tool/((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool For Minimum Cost) to evaluate the Minimum Machining Cost And Operating Rate, The Machining and Operating Rate given Tool Life for Minimum Machining Cost is a way to determine the maximum expense rate that can be afforded on machines and operators when based on the minimum expense it took to machine a single component for a Cutting Tool of given Tool Life. Minimum Machining Cost And Operating Rate is denoted by M_cmin symbol.

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

FAQs on Machining and Operating Rate given Tool Life for Minimum Machining Cost

What is the formula to find Machining and Operating Rate given Tool Life for Minimum Machining Cost?

The formula of Machining and Operating Rate given Tool Life for Minimum Machining Cost is expressed as Minimum Machining Cost And Operating Rate = Cost of A Tool/((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool For Minimum Cost). Here is an example- 0.44248 = 100/((4500*0.032362/((1-0.032362)*0.5))-75).

How to calculate Machining and Operating Rate given Tool Life for Minimum Machining Cost?

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

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Machining and Operating Rate given Tool Life for Minimum Machining Cost Formula

Machining and Operating Rate given Tool Life for Minimum Machining Cost Example

Machining and Operating Rate given Tool Life for Minimum Machining Cost Solution

Machining and Operating Rate given Tool Life for Minimum Machining Cost Formula Elements

Credits

Other formulas in Machining Cost category

How to Evaluate Machining and Operating Rate given Tool Life for Minimum Machining Cost?

FAQs on Machining and Operating Rate given Tool Life for Minimum Machining Cost

Variable Name