Tool Life for Minimum Production Time given Tool Changing Cost Calculator

✖Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.ⓘ Cost of Changing Each Tool [C_CT]			+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%
✖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%

✖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 [T]

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Formula

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Tool Life for Minimum Production Time given Tool Changing Cost

Formula

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

Example

`"0.47095min"="2.472489"*(1-"0.2")/("0.2"*"0.35")`

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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 Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)
T = C_CT*(1-n)/(n*M)
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 he is paid by the hour.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
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

Cost of Changing Each Tool: 2.472489 --> No Conversion Required
Taylor's Tool Life Exponent: 0.2 --> No Conversion Required
Machining and Operating Rate: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = C_CT*(1-n)/(n*M) --> 2.472489*(1-0.2)/(0.2*0.35)

Evaluating ... ...

T = 28.2570171428571

STEP 3: Convert Result to Output's Unit

28.2570171428571 Second -->0.470950285714286 Minute (Check conversion here)

FINAL ANSWER

0.470950285714286 ≈ 0.47095 Minute <-- Tool Life

(Calculation completed in 00.004 seconds)

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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 = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)*Cost of Changing Each Tool/(Taylor's Tool Life Exponent*Reference Tool Life)

Cost to change One Tool given min production time

Go Cost of Changing Each Tool = Machining and Operating Rate*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))

Cutting Velocity for Minimum Production Time given Tool Changing Cost

Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Machining and Operating Rate*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Cost of Changing Each Tool))^Taylor's Tool Life Exponent)

Tool Changing Time for each Tool given min production time

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

Reference Tool Life given Min Production time

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

Reference Cutting Velocity using Minimum Production Time

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

Cutting Velocity for Minimum Production Time

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

Machining and Operating Rate given Tool Changing Cost and Tool Life

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

Tool Life for Minimum Production Time given Tool Changing Cost

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

Tool Changing Time for each Tool given Tool Life

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

Tool Life for Minimum Production Time

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

Taylor's Tool Life Exponent given Tool Life

Go Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life)

Tool Life for Minimum Production Time given Tool Changing Cost Formula

Tool Life = Cost of Changing Each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)
T = C_CT*(1-n)/(n*M)

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 Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate) 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 T 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 Tool Life Exponent (n) & Machining and Operating Rate (M) 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 -> 0.079365 = 2.472489*(1-0.2)/(0.2*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 T = C_CT*(1-n)/(n*M) or Tool Life = Cost of Changing Each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate). Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear & Machining and Operating Rate 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 Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate). To calculate Tool Life for Minimum Production Time given Tool Changing Cost, you need Cost of Changing Each Tool (C_CT), Taylor's Tool Life Exponent (n) & Machining and Operating Rate (M). With our tool, you need to enter the respective value for Cost of Changing Each Tool, Taylor's Tool Life Exponent & 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.

How many ways are there to calculate Tool Life?

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

Tool Life = Time to Change One Tool*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent

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