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)*(CCT+Ct)/(n*Ct)
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: 25 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = (1-n)*(CCT+Ct)/(n*Ct) --> (1-0.55)*(25+100)/(0.55*100)
Evaluating ... ...
T = 1.02272727272727
STEP 3: Convert Result to Output's Unit
1.02272727272727 Second -->0.0170454545454545 Minute (Check conversion here)
FINAL ANSWER
0.0170454545454545 0.017045 Minute <-- Tool Life
(Calculation completed in 00.004 seconds)

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!

10+ Tool Life for Minimum Production Cost Calculators

Machining and Operating Rate if cost of changing tool is also considered
Go Machining and Operating Rate = ((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 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)
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
Tool Changing Time for each Tool given Tool Life and tool cost
Go Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-(Cost of a Tool/Cost of a Tool)
Tool Life for Minimum Production Cost
Go Tool Life = (1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))/Taylor's Tool Life Exponent
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 = 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 = 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)*(CCT+Ct)/(n*Ct)

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 (CCT) & Cost of a Tool (Ct) 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 -> 0.000284 = (1-0.55)*(25+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)*(CCT+Ct)/(n*Ct) 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 (CCT) & Cost of a Tool (Ct). 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.
How many ways are there to calculate Tool Life?
In this formula, Tool Life uses Taylor's Tool Life Exponent, Cost of changing each Tool & Cost of a Tool. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Tool Life = (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 = 7*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))
  • Tool Life = 3*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))
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