✖Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.ⓘ Cost of Changing Each Tool [C_ct]			+10% -10%
✖Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Exponent For Minimum Production Time [n_mpt]			+10% -10%
✖Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.ⓘ Machining And Operating Rate in Minimum Time [M_min]			+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 for Minimum Production Time given Tool Changing Cost [L]

⎘ Copy

👎

Formula

✖

Tool Life for Minimum Production Time given Tool Changing Cost

Formula

`"L" = "C"_{"ct"}*(1-"n"_{"mpt"})/("n"_{"mpt"}*"M"_{"min"})`

Example

`"20s"="7"*(1-".5")/(".5"*"0.35")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

Tool Life for Minimum Production Time given Tool Changing Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = C_ct*(1-n_mpt)/(n_mpt*M_min)
This formula uses 4 Variables

Variables Used

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.
Cost of Changing Each Tool - Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.
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.
Machining And Operating Rate in Minimum Time - Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.

STEP 1: Convert Input(s) to Base Unit

Cost of Changing Each Tool: 7 --> No Conversion Required
Taylor's Exponent For Minimum Production Time: 0.5 --> No Conversion Required
Machining And Operating Rate in Minimum Time: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = C_ct*(1-n_mpt)/(n_mpt*M_min) --> 7*(1-0.5)/(0.5*0.35)

Evaluating ... ...

L = 20

STEP 3: Convert Result to Output's Unit

20 Second --> No Conversion Required

FINAL ANSWER

20 Second <-- Tool Life

(Calculation completed in 00.020 seconds)

You are here -

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

< 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

Tool Life for Minimum Production Time given Tool Changing Cost 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 Tool Life for Minimum Production Time given Tool Changing Cost?

Tool Life for Minimum Production Time given Tool Changing Cost calculator uses 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) to calculate the Tool Life, The Tool Life for Minimum Production Time given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Time of Production for a given Batch is Minimum. Tool Life is denoted by L symbol.

How to calculate Tool Life for Minimum Production Time given Tool Changing Cost using this online calculator? To use this online calculator for Tool Life for Minimum Production Time given Tool Changing Cost, enter Cost of Changing Each Tool (C_ct), Taylor's Exponent For Minimum Production Time (n_mpt) & Machining And Operating Rate in Minimum Time (M_min) and hit the calculate button. Here is how the Tool Life for Minimum Production Time given Tool Changing Cost calculation can be explained with given input values -> 11046.93 = 7*(1-0.5)/(0.5*0.35).

FAQ

What is Tool Life for Minimum Production Time given Tool Changing Cost?

The Tool Life for Minimum Production Time given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Time of Production for a given Batch is Minimum and is represented as L = C_ct*(1-n_mpt)/(n_mpt*M_min) or 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). Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour, Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear & Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.

How to calculate Tool Life for Minimum Production Time given Tool Changing Cost?

The Tool Life for Minimum Production Time given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Time of Production for a given Batch is Minimum is calculated using 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). To calculate Tool Life for Minimum Production Time given Tool Changing Cost, you need Cost of Changing Each Tool (C_ct), Taylor's Exponent For Minimum Production Time (n_mpt) & Machining And Operating Rate in Minimum Time (M_min). With our tool, you need to enter the respective value for Cost of Changing Each Tool, Taylor's Exponent For Minimum Production Time & Machining And Operating Rate in Minimum Time 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 Tool Life?

In this formula, Tool Life uses Cost of Changing Each Tool, Taylor's Exponent For Minimum Production Time & Machining And Operating Rate in Minimum Time. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search