Tool Life for Minimum Production Cost given Tool Changing Cost Calculator

✖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%
✖The 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%
✖The Cost of a Tool is simply the cost of one tool being used for machining.ⓘ Cost of a Tool [C_t]			+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 Cost given Tool Changing Cost [T]

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Tool Life for Minimum Production Cost given Tool Changing Cost

Formula

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

Example

`"75min"=(1-".55")*("549900"+"100")/(".55"*"100")`

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Tool Life for Minimum Production Cost given Tool Changing Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool)
T = (1-n)*(C_CT+C_t)/(n*C_t)
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.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Cost of changing each Tool - The 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 a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.

STEP 1: Convert Input(s) to Base Unit

Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
Cost of changing each Tool: 549900 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (1-n)*(C_CT+C_t)/(n*C_t) --> (1-0.55)*(549900+100)/(0.55*100)

Evaluating ... ...

T = 4500

STEP 3: Convert Result to Output's Unit

4500 Second -->75 Minute (Check conversion here)

FINAL ANSWER

75 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!

< 20 Minimum Production Cost Calculators

Machining and Operating Rate given Tool Changing Cost

Go Machining and Operating Rate = ((Cost of a Tool+Cost of changing each Tool)/((Reference Tool Life*(Taylor's Tool Life Exponent for Hard Material/(Taylor's Tool Life Exponent for Hard Material-1))*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent for Hard Material)))-Time to Change One Tool))

Machining and Operating Rate using Minimum Production Cost

Go Machining and Operating Rate = (Cost of a Tool/((Reference Tool Life*(Taylor's Tool Life Exponent for Hard Material/(Taylor's Tool Life Exponent for Hard Material-1))*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent for Hard Material)))-Time to Change One Tool))

Cost of One Tool given Cutting Velocity

Go Cost of a Tool = Machining and Operating Rate*((Reference Tool Life*(Taylor's Tool Life Exponent for Hard Material/(Taylor's Tool Life Exponent for Hard Material-1))*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent for Hard Material)))-Time to Change One Tool)

Tool Changing Time for each Tool given Cutting Velocity

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

Reference Tool Life given Cutting Velocity

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

Reference Cutting Velocity given Cutting Velocity

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

Cutting Velocity for Minimum Production Cost

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

Cost of One Tool for Minimum Production Cost given cutting speed

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

Cost to change One Tool given Cutting Velocity

Go Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool)

Cutting Velocity for Minimum Production Cost given Tool Changing Cost

Go Cutting Velocity = Reference Cutting Velocity*(((Taylor's Tool Life Exponent*Cost of a Tool*Reference Tool Life)/((1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)))^Taylor's Tool Life Exponent)

Machining and Operating Rate if cost of changing tool is also considered

Go Machining Rate For Cost Changing Tool = ((Cost of a Tool+Cost of changing each Tool)/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1))

Tool Life for Minimum Production Cost

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

Tool Life for Minimum Production Cost given Tool Changing Cost

Go Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool)

Tool Changing Time for each Tool given Tool Life and tool cost

Go Time to Change Each Tool = (Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-(Cost of a Tool/Cost of a Tool)

Cost to change One Tool given Tool Life

Go Cost of changing each Tool = Cost of a Tool*(Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-Cost of a Tool

Machining and Operating Rate using Min Production Cost and Min Production time

Go Machining and Operating Rate = (Cost of a Tool/Time to Change One Tool)*((1-Taylor's Tool Life Exponent)/(2*Taylor's Tool Life Exponent-1))

Cost of One Tool for Minimum Production Cost given Tool Changing Cost

Go Cost of a Tool = Machining and Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent))

Cost of One Tool given Tool Life

Go Cost of a Tool = Machining and Operating Rate*Time to Change One Tool*((2*Taylor's Tool Life Exponent-1)/(1-Taylor's Tool Life Exponent))

Tool Life for Minimum Production Cost when High-Speed Steel Tool is used

Go Tool Life For High Speed Steel = 7*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))

Tool Life for Minimum Production Cost when Carbide Tool is used

Go Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))

Tool Life for Minimum Production Cost given Tool Changing Cost Formula

Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool)
T = (1-n)*(C_CT+C_t)/(n*C_t)

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 Cost given Tool Changing Cost?

Tool Life for Minimum Production Cost given Tool Changing Cost calculator uses Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool) to calculate the Tool Life, The Tool Life for Minimum Production Cost given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum. Tool Life is denoted by T symbol.

How to calculate Tool Life for Minimum Production Cost given Tool Changing Cost using this online calculator? To use this online calculator for Tool Life for Minimum Production Cost given Tool Changing Cost, enter Taylor's Tool Life Exponent (n), Cost of changing each Tool (C_CT) & Cost of a Tool (C_t) and hit the calculate button. Here is how the Tool Life for Minimum Production Cost given Tool Changing Cost calculation can be explained with given input values -> 26.25 = (1-0.55)*(549900+100)/(0.55*100).

FAQ

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

The Tool Life for Minimum Production Cost given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum and is represented as T = (1-n)*(C_CT+C_t)/(n*C_t) or Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool). Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, The 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 & The Cost of a Tool is simply the cost of one tool being used for machining.

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

The Tool Life for Minimum Production Cost given Tool Changing Cost is a method to determine the Tool Life required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum is calculated using Tool Life = (1-Taylor's Tool Life Exponent)*(Cost of changing each Tool+Cost of a Tool)/(Taylor's Tool Life Exponent*Cost of a Tool). To calculate Tool Life for Minimum Production Cost given Tool Changing Cost, you need Taylor's Tool Life Exponent (n), Cost of changing each Tool (C_CT) & Cost of a Tool (C_t). With our tool, you need to enter the respective value for Taylor's Tool Life Exponent, Cost of changing each Tool & Cost of a Tool 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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