✖Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.ⓘ Time to Change Tool For Minimum Production Time [t_ct]			+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 [L]			+10% -10%

✖Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent given Tool Life [n_mpt]

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Taylor's Tool Life Exponent given Tool Life

Formula

`"n"_{"mpt"} = "t"_{"ct"}/("t"_{"ct"}+"L")`

Example

`"0.5"="20s"/("20s"+"20.00s")`

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Taylor's Tool Life Exponent given Tool Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life)
n_mpt = t_ct/(t_ct+L)
This formula uses 3 Variables

Variables Used

Taylor's Exponent For Minimum Production Time - Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.
Time to Change Tool For Minimum Production Time - (Measured in Second) - Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum.
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 Tool For Minimum Production Time: 20 Second --> 20 Second No Conversion Required
Tool Life: 20 Second --> 20 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_mpt = t_ct/(t_ct+L) --> 20/(20+20)

Evaluating ... ...

n_mpt = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Taylor's Exponent For Minimum Production Time

(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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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< 12 Minimum Production Time Calculators

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity

Go Machining And Operating Rate in Minimum Time = ((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))*(1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool/(Taylor's Exponent For Minimum Production Time*Reference Tool Life)

Cost to change One Tool given min production time

Go Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))

Cutting Velocity for Minimum Production Time given Tool Changing Cost

Go Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Machining And Operating Rate in Minimum Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Cost of Changing Each Tool))^Taylor's Exponent For Minimum Production Time)

Tool Changing Time for each Tool given min production time

Go Time to Change Tool For Minimum Production Time = (Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))

Reference Cutting Velocity using Minimum Production Time

Go Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)

Reference Tool Life given Min Production time

Go Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time

Cutting Velocity for Minimum Production Time

Go Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)

Machining and Operating Rate given Tool Changing Cost and Tool Life

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

Tool Life for Minimum Production Time given Tool Changing Cost

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

Tool Changing Time for each Tool given Tool Life

Go Time to Change Tool For Minimum Production Time = Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time)

Taylor's Tool Life Exponent given Tool Life

Go Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life)

Tool Life for Minimum Production Time

Go Tool Life = Time to Change Tool For Minimum Production Time*(1-Taylor's Exponent For Minimum Production Time)/Taylor's Exponent For Minimum Production Time

Taylor's Tool Life Exponent given Tool Life Formula

Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life)
n_mpt = t_ct/(t_ct+L)

Taylor's Tool Life Equation

This relationship is credited to F. W. Taylor (~1900). It gives the relation between cutting speed and tool life. VTⁿ = C where V= Cutting Velocity, T= Tool Life, n and C are Taylor's Constant.

How to Calculate Taylor's Tool Life Exponent given Tool Life?

Taylor's Tool Life Exponent given Tool Life calculator uses Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life) to calculate the Taylor's Exponent For Minimum Production Time, The Taylor's Tool Life Exponent given Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time. Taylor's Exponent For Minimum Production Time is denoted by n_mpt symbol.

How to calculate Taylor's Tool Life Exponent given Tool Life using this online calculator? To use this online calculator for Taylor's Tool Life Exponent given Tool Life, enter Time to Change Tool For Minimum Production Time (t_ct) & Tool Life (L) and hit the calculate button. Here is how the Taylor's Tool Life Exponent given Tool Life calculation can be explained with given input values -> 0.5 = 20/(20+20).

FAQ

What is Taylor's Tool Life Exponent given Tool Life?

The Taylor's Tool Life Exponent given Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time and is represented as n_mpt = t_ct/(t_ct+L) or Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life). Time to Change Tool For Minimum Production Time is the measure of time it takes to change one tool during machining such that production time is minimum & 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 Tool Life Exponent given Tool Life?

The Taylor's Tool Life Exponent given Tool Life is a method to determine the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time is calculated using Taylor's Exponent For Minimum Production Time = Time to Change Tool For Minimum Production Time/(Time to Change Tool For Minimum Production Time+Tool Life). To calculate Taylor's Tool Life Exponent given Tool Life, you need Time to Change Tool For Minimum Production Time (t_ct) & Tool Life (L). With our tool, you need to enter the respective value for Time to Change Tool For Minimum Production Time & Tool Life 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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