Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Calculator

✖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 to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%
✖Cost of A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+10% -10%
✖Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining And Operating Rate [M]			+10% -10%

✖Time Proportion of Cutting Edge For Minimum Cost is the minimum fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.ⓘ Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost [Q_min]

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Formula

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Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost

Formula

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

Example

0.031267 = 4500 s \cdot \frac{0.032362}{(1 - 0.032362) \cdot (75 s + (\frac{478575}{101}))}

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Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate)))
Q_min = T*n/((1-n)*(t_c+(C_t/M)))
This formula uses 6 Variables

Variables Used

Time Proportion of Cutting Edge For Minimum Cost - Time Proportion of Cutting Edge For Minimum Cost is the minimum fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
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 to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
Machining And Operating Rate - Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

STEP 1: Convert Input(s) to Base Unit

Tool Life: 4500 Second --> 4500 Second No Conversion Required
Taylor's Tool Life Exponent: 0.032362 --> No Conversion Required
Time to Change One Tool: 75 Second --> 75 Second No Conversion Required
Cost of A Tool: 478575 --> No Conversion Required
Machining And Operating Rate: 101 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_min = T*n/((1-n)*(t_c+(C_t/M))) --> 4500*0.032362/((1-0.032362)*(75+(478575/101)))

Evaluating ... ...

Q_min = 0.0312669872012381

STEP 3: Convert Result to Output's Unit

0.0312669872012381 --> No Conversion Required

FINAL ANSWER

0.0312669872012381 ≈ 0.031267 <-- Time Proportion of Cutting Edge For Minimum Cost

(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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< Tool Cost Calculators

Tool Changing Time for 1 Tool given Machining Cost

Go Time to Change One Tool = ((Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of A Tool)/Machining And Operating Rate

Cost of 1 Tool given Machining Cost

Go Cost of A Tool = (Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/Time Proportion of Cutting Edge Engagement)-(Machining And Operating Rate*Time to Change One Tool)

Time Proportion of Cutting Edge Engagement given Machining Cost

Go Time Proportion of Cutting Edge Engagement = Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/(Machining And Operating Rate*Time to Change One Tool+Cost of A Tool)

Tool Changing Cost per Tool given Machining Cost

Go Cost of Changing Each Tool = (Tool Life*((Machining And Operating Cost of Each Product/Machining Time)-Machining And Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of A Tool

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost Formula

Advantages of Constant-Cutting-Speed Operation

Constant Surface Speed provides at least four advantages:
1. It simplifies programming.
2. It provides a consistent workpiece finish.
3. It optimizes Tool Life - Tools will always machine at the appropriate speed.
4. It optimizes Machining Time - Cutting conditions will always be properly set, which translates to minimal machining time.

How to Calculate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost calculator uses Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate))) to calculate the Time Proportion of Cutting Edge For Minimum Cost, The Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost is a way to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time. Time Proportion of Cutting Edge For Minimum Cost is denoted by Q_min symbol.

How to calculate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost using this online calculator? To use this online calculator for Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost, enter Tool Life (T), Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c), Cost of A Tool (C_t) & Machining And Operating Rate (M) and hit the calculate button. Here is how the Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost calculation can be explained with given input values -> 0.031267 = 4500*0.032362/((1-0.032362)*(75+(478575/101))).

FAQ

What is Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

The Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost is a way to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time and is represented as Q_min = T*n/((1-n)*(t_c+(C_t/M))) or Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate))). 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 to Change One Tool is the measure of time it takes to change one tool during machining, Cost of A Tool is simply the cost of one tool being used for machining & Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.

How to calculate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost?

The Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost is a way to determine the time fraction for which the Cutting Edge actually removes material from the workpiece in the given Machining Time is calculated using Time Proportion of Cutting Edge For Minimum Cost = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of A Tool/Machining And Operating Rate))). To calculate Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost, you need Tool Life (T), Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c), Cost of A Tool (C_t) & Machining And Operating Rate (M). With our tool, you need to enter the respective value for Tool Life, Taylor's Tool Life Exponent, Time to Change One Tool, Cost of A Tool & Machining And Operating Rate 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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