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Machining and Operating Rate given Machining Cost Formula

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GoMachining and Operating Rate for Minimum Machining Cost Formula

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

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

M_min - Minimum Machining And Operating Rate?C_min - Minimum Machining Cost of Each Product?t_m - Machining Time?Q - Time Proportion of Cutting Edge Engagement?C_t - Cost of A Tool?T - Tool Life?t_min - Time to Change One Tool For Minimum Cost?

Machining and Operating Rate given Machining Cost Example

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

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

Here is how the Machining and Operating Rate given Machining Cost equation looks like.

101 = \frac{(\frac{4697.004}{0.7686}) - (0.5 \cdot \frac{100}{75})}{(0.5 \cdot \frac{1.25}{75}) + 1}

101 = \frac{(\frac{4697.004}{0.7686min}) - (0.5 \cdot \frac{100}{75min})}{(0.5 \cdot \frac{1.25min}{75min}) + 1}

101 = \frac{(\frac{4697.004}{0.7686}) - (0.5 \cdot \frac{100}{75})}{(0.5 \cdot \frac{1.25}{75}) + 1}

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Machining and Operating Rate given Machining Cost Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M min = \frac{(\frac{4697.004}{0.7686min}) - (0.5 \cdot \frac{100}{75min})}{(0.5 \cdot \frac{1.25min}{75min}) + 1}

Next Step Convert Units

∴

M min = \frac{(\frac{4697.004}{46.1156s}) - (0.5 \cdot \frac{100}{4500s})}{(0.5 \cdot \frac{75s}{4500s}) + 1}

Next Step Prepare to Evaluate

∴

M min = \frac{(\frac{4697.004}{46.1156}) - (0.5 \cdot \frac{100}{4500})}{(0.5 \cdot \frac{75}{4500}) + 1}

Next Step Evaluate

∴

M min = 100.999956279511

LAST Step Rounding Answer

∴

M min = 101

Machining and Operating Rate given Machining Cost Formula Elements

Variables

Minimum Machining And Operating Rate

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

Symbol: M_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Minimum Machining Cost of Each Product

Minimum Machining Cost of Each Product is the total amount of money required to machine a single product such that spend is minimum.

Symbol: C_min

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Machining Time

Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.

Symbol: t_m

Measurement: TimeUnit: min

Note: Value should be greater than 0.

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.

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.

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

Creator Image

Created by Kumar Siddhant

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

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

Verifier Image

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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

Other Formulas to find Minimum Machining And Operating Rate

Go Machining and Operating Rate for Minimum Machining Cost

M min = C min \cdot \frac{1 - n}{t mc}

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}

See More

How to Evaluate Machining and Operating Rate given Machining Cost?

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

How to evaluate Machining and Operating Rate given Machining Cost using this online evaluator? To use this online evaluator for Machining and Operating Rate given Machining Cost, enter Minimum Machining Cost of Each Product (C_min), Machining Time (t_m), Time Proportion of Cutting Edge Engagement (Q), Cost of A Tool (C_t), Tool Life (T) & Time to Change One Tool For Minimum Cost (t_min) and hit the calculate button.

FAQs on Machining and Operating Rate given Machining Cost

What is the formula to find Machining and Operating Rate given Machining Cost?

The formula of Machining and Operating Rate given Machining Cost is expressed as Minimum Machining And Operating Rate = ((Minimum Machining Cost of Each Product/Machining Time)-(Time Proportion of Cutting Edge Engagement*Cost of A Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool For Minimum Cost/Tool Life)+1). Here is an example- 103.5042 = ((4697.004/46.11564)-(0.5*100/4500))/((0.5*75/4500)+1).

How to calculate Machining and Operating Rate given Machining Cost?

With Minimum Machining Cost of Each Product (C_min), Machining Time (t_m), Time Proportion of Cutting Edge Engagement (Q), Cost of A Tool (C_t), Tool Life (T) & Time to Change One Tool For Minimum Cost (t_min) we can find Machining and Operating Rate given Machining Cost using the formula - Minimum Machining And Operating Rate = ((Minimum Machining Cost of Each Product/Machining Time)-(Time Proportion of Cutting Edge Engagement*Cost of A Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool For Minimum Cost/Tool Life)+1).

What are the other ways to Calculate Minimum Machining And Operating Rate?

Here are the different ways to Calculate Minimum Machining And Operating Rate-

Minimum Machining And Operating Rate=Minimum Machining Cost of Each Product*(1-Taylor's Tool Life Exponent)/Machining Time For Minimum Cost

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