Tool Changing Time for 1 Tool 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 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%
✖The 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 to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost [t_c]

⎘ Copy

👎

Formula

✖

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost

Formula

`"t"_{"c"} = ("T"*"n"/((1-"n")*"Q"))-("C"_{"t"}/"M")`

Example

`"5.000147min"=("75min"*"0.032362"/((1-"0.032362")*"0.5"))-("100"/"101")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate)
t_c = (T*n/((1-n)*Q))-(C_t/M)
This formula uses 6 Variables

Variables Used

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.
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.
Cost of a Tool - The 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: 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
Cost of a Tool: 100 --> No Conversion Required
Machining and Operating Rate: 101 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_c = (T*n/((1-n)*Q))-(C_t/M) --> (4500*0.032362/((1-0.032362)*0.5))-(100/101)

Evaluating ... ...

t_c = 300.008828274889

STEP 3: Convert Result to Output's Unit

300.008828274889 Second -->5.00014713791482 Minute (Check conversion here)

FINAL ANSWER

5.00014713791482 ≈ 5.000147 Minute <-- Time to Change One Tool

(Calculation completed in 00.007 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Minimum Machining Cost » Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost

Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 14 Minimum Machining Cost Calculators

Taylor's Exponent for Minimum Machining Cost given Tool Life

Go Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion of Cutting Edge Engagement)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion of Cutting Edge Engagement))

Reference Cutting Velocity given Minimum Production Cost

Go Reference Cutting Velocity = Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent) /((1-Taylor's Tool Life Exponent)*((Production Cost of Each Component/Machining and Operating Rate)-Setup Time))

Tool Life for minimum cost given Minimum Production Cost

Go Tool Life = Reference Tool Life*((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Reference Tool Life given Minimum Production Cost

Go Reference Tool Life = Tool Life/((((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent))

Non-Productive Time per component given Minimum Production Cost

Go Setup Time = (Production Cost of Each Component/Machining and Operating Rate)-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))

Machining and Operating Rate given Minimum Production Cost

Go Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Minimum Production Cost per Component

Go Production Cost of Each Component = Machining and Operating Rate*(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))

Constant for Machining Operation given Minimum Production Cost

Go Constant For Machining Condition = ((Production Cost of Each Component/Machining and Operating Rate)-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)

Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost

Go Cost of changing each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion of Cutting Edge Engagement*(1-Taylor's Tool Life Exponent)))-Cost of a Tool

Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool

Go Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost

Go Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate)

Tool Life of One Tool for Minimum Machining Cost

Go Tool Life = Time Proportion of Cutting Edge Engagement*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent

Taylor's Exponent for Minimum Machining Cost per component

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

Machining Time per component for Minimum Machining Cost

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

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost Formula

Significance of Total Tool Changing Time

The Total Tool Changing Time denotes the time being spent on an important but non-profitable process that is changing the Machining tool. This results in extra cost factors being accounted for as the operators are usually waged per hour or day. It is preferred that the Total Tool Changing Time in a Production Line is low so as there is a low expense on these non-profitable tasks.

How to Calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost?

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost calculator uses Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate) to calculate the Time to Change One Tool, The Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the average expense to machine 1 component for a Cutting Tool of given Tool Life. Time to Change One Tool is denoted by t_c symbol.

How to calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost using this online calculator? To use this online calculator for Tool Changing Time for 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), Cost of a Tool (C_t) & Machining and Operating Rate (M) and hit the calculate button. Here is how the Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost calculation can be explained with given input values -> 0.083336 = (4500*0.032362/((1-0.032362)*0.5))-(100/101).

FAQ

What is Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost?

The Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the average expense to machine 1 component for a Cutting Tool of given Tool Life and is represented as t_c = (T*n/((1-n)*Q))-(C_t/M) or Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(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 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, The 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 Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost?

The Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the average expense to machine 1 component for a Cutting Tool of given Tool Life is calculated using Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate). To calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost, you need Tool Life (T), Taylor's Tool Life Exponent (n), Time Proportion of Cutting Edge Engagement (Q), 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 Proportion of Cutting Edge Engagement, 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.

Home

FREE PDFs

🔍 Search