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

✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%
✖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.ⓘ Time Proportion of Cutting Edge Engagement [Q]			+10% -10%
✖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.ⓘ Time to Change One Tool For Minimum Cost [t_min]			+10% -10%

✖Minimum Machining Cost And Operating Rate is the minimum money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining and Operating Rate given Tool Life for Minimum Machining Cost [M_cmin]

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Formula

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Machining and Operating Rate given Tool Life for Minimum Machining Cost

Formula

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

Example

0.44248 = \frac{100.00}{(75 min \cdot \frac{0.032362}{(1 - 0.032362) \cdot 0.5000}) - 1.25 min}

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
M_cmin = C_t/((T*n/((1-n)*Q))-t_min)
This formula uses 6 Variables

Variables Used

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.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear.
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.
Time to Change One Tool For Minimum Cost - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Cost of A Tool: 100 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.032362 --> No Conversion Required
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Time to Change One Tool For Minimum Cost: 1.25 Minute --> 75 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_cmin = C_t/((T*n/((1-n)*Q))-t_min) --> 100/((4500*0.032362/((1-0.032362)*0.5))-75)

Evaluating ... ...

M_cmin = 0.44247997634956

STEP 3: Convert Result to Output's Unit

0.44247997634956 --> No Conversion Required

FINAL ANSWER

0.44247997634956 ≈ 0.44248 <-- Minimum Machining Cost And Operating Rate

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

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

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National Institute of Technology (NIT), Srinagar

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< Machining Cost Calculators

Total Machining and Operating Costs using Average Production Cost

Go Total Machining And Operating Cost = (Production Cost of Each Component-(Average Cost of A Tool*Non Productive Time)-(Number of Tools Used/Batch Size*(Average Cost of A Tool*Time to Change One Tool+Average Cost of A Tool)))*Batch Size

Total Machining and Operating Costs given Total Production Cost

Go Total Machining And Operating Cost = Total Production Cost-(Total Cost of Tools Used+Total Tool Changing Cost+Total Non Productive Cost)

Machining and Operating Rate given Total Machining and Operating Cost

Go Machining And Operating Rate = Rate of Total Machining And Operating Cost/Total Production Time

Total Machining and Operating Cost

Go Rate of Total Machining And Operating Cost = Machining And Operating Rate*Total Production Time

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

Significance of Machining and Operating Rate

The Machining and Operating Rate basically helps in determining the count of components that can be manufactured in the given time for given resources. Optimizing this Rate helps in regulating the Total Machining Cost of the Production which carries the maximum weightage of the Total Production Cost.

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

Machining and Operating Rate given Tool Life for Minimum Machining Cost calculator 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 calculate 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 calculate Machining and Operating Rate given Tool Life for Minimum Machining Cost using this online calculator? To use this online calculator 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. Here is how the Machining and Operating Rate given Tool Life for Minimum Machining Cost calculation can be explained with given input values -> 0.44248 = 100/((4500*0.032362/((1-0.032362)*0.5))-75).

FAQ

What is Machining and Operating Rate given Tool Life for Minimum Machining Cost?

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 and is represented as M_cmin = C_t/((T*n/((1-n)*Q))-t_min) or 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). Cost of A Tool is simply the cost of one tool being used for machining, Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of tool wear, 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 & 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.

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

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 is calculated using 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 calculate Machining and Operating Rate given Tool Life for Minimum Machining Cost, you need 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). With our tool, you need to enter the respective value for Cost of A Tool, Tool Life, Taylor's Tool Life Exponent, Time Proportion of Cutting Edge Engagement & Time to Change One Tool For Minimum Cost and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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