✖Time to change one tool refers to the duration required to remove a worn-out or depleted cutting tool from the machine tool's spindle and install a new or reconditioned tool.ⓘ Time to Change One Tool [t_c]			+10% -10%
✖Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.ⓘ Cost of a Tool [C]			+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 [R]			+10% -10%
✖Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.ⓘ Time Proportion [t_q]			+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 Exponent for Minimum Machining Cost given Tool Life [n]

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Taylor's Exponent for Minimum Machining Cost given Tool Life

Formula

`"n" = (("t"_{"c"}+("C"/"R"))*"t"_{"q"})/("T"+(("t"_{"c"}+("C"/"R"))*"t"_{"q"}))`

Example

`"0.125"=(("842.8571s"+("100"/"7"))*"0.5s")/("3000s"+(("842.8571s"+("100"/"7"))*"0.5s"))`

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Taylor's Exponent for Minimum Machining Cost given Tool Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion))
n = ((t_c+(C/R))*t_q)/(T+((t_c+(C/R))*t_q))
This formula uses 6 Variables

Variables Used

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 refers to the duration required to remove a worn-out or depleted cutting tool from the machine tool's spindle and install a new or reconditioned tool.
Cost of a Tool - Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Time Proportion - (Measured in Second) - Time Proportion the 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.

STEP 1: Convert Input(s) to Base Unit

Time to Change One Tool: 842.8571 Second --> 842.8571 Second No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
Machining and Operating Rate: 7 --> No Conversion Required
Time Proportion: 0.5 Second --> 0.5 Second No Conversion Required
Tool Life: 3000 Second --> 3000 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = ((t_c+(C/R))*t_q)/(T+((t_c+(C/R))*t_q)) --> ((842.8571+(100/7))*0.5)/(3000+((842.8571+(100/7))*0.5))

Evaluating ... ...

n = 0.12499999453125

STEP 3: Convert Result to Output's Unit

0.12499999453125 --> No Conversion Required

FINAL ANSWER

0.12499999453125 ≈ 0.125 <-- Taylor's Tool Life Exponent

(Calculation completed in 00.007 seconds)

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< 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)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion))

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))

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))))

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))

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))))

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)))

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))

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

Go Tool Life = Time Proportion*(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 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*(1-Taylor's Tool Life Exponent)))-Cost of a Tool

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))-(Cost of a Tool/Machining and Operating Rate)

Tool Life of One Tool for Minimum Machining Cost

Go Tool Life = Time Proportion*(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

Taylor's Exponent for Minimum Machining Cost given Tool Life Formula

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Taylor's Exponent for Minimum Machining Cost given Tool Life?

Taylor's Exponent for Minimum Machining Cost given Tool Life calculator uses Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)) to calculate the Taylor's Tool Life Exponent, Taylor's Exponent for Minimum Machining Cost given Tool Life is a way to determine the experimental exponent of Tool Life for the Machining Tool when machining is done at the minimum cost possible for a Cutting Tool of given Tool Life. Taylor's Tool Life Exponent is denoted by n symbol.

How to calculate Taylor's Exponent for Minimum Machining Cost given Tool Life using this online calculator? To use this online calculator for Taylor's Exponent for Minimum Machining Cost given Tool Life, enter Time to Change One Tool (t_c), Cost of a Tool (C), Machining and Operating Rate (R), Time Proportion (t_q) & Tool Life (T) and hit the calculate button. Here is how the Taylor's Exponent for Minimum Machining Cost given Tool Life calculation can be explained with given input values -> 0.002583 = ((842.8571+(100/7))*0.5)/(3000+((842.8571+(100/7))*0.5)).

FAQ

What is Taylor's Exponent for Minimum Machining Cost given Tool Life?

Taylor's Exponent for Minimum Machining Cost given Tool Life is a way to determine the experimental exponent of Tool Life for the Machining Tool when machining is done at the minimum cost possible for a Cutting Tool of given Tool Life and is represented as n = ((t_c+(C/R))*t_q)/(T+((t_c+(C/R))*t_q)) or Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)). Time to change one tool refers to the duration required to remove a worn-out or depleted cutting tool from the machine tool's spindle and install a new or reconditioned tool, Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.

How to calculate Taylor's Exponent for Minimum Machining Cost given Tool Life?

Taylor's Exponent for Minimum Machining Cost given Tool Life is a way to determine the experimental exponent of Tool Life for the Machining Tool when machining is done at the minimum cost possible for a Cutting Tool of given Tool Life is calculated using Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion)). To calculate Taylor's Exponent for Minimum Machining Cost given Tool Life, you need Time to Change One Tool (t_c), Cost of a Tool (C), Machining and Operating Rate (R), Time Proportion (t_q) & Tool Life (T). With our tool, you need to enter the respective value for Time to Change One Tool, Cost of a Tool, Machining and Operating Rate, Time Proportion & Tool Life and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Taylor's Tool Life Exponent?

In this formula, Taylor's Tool Life Exponent uses Time to Change One Tool, Cost of a Tool, Machining and Operating Rate, Time Proportion & Tool Life. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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