Tool Life for Minimum Production Cost when Carbide Tool is used Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool))
Tc = 3*(tc+(Ct/Ct))
This formula uses 3 Variables
Variables Used
Tool Life For Carbide Tool - (Measured in Second) - Tool Life For Carbide Tool is the period of time for which the cutting edge of carbide, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Time to Change One Tool - (Measured in Second) - Time to Change One Tool is the measure of time it takes to change one tool during machining.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
STEP 1: Convert Input(s) to Base Unit
Time to Change One Tool: 0.9 Minute --> 54 Second (Check conversion ​here)
Cost of A Tool: 48 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tc = 3*(tc+(Ct/Ct)) --> 3*(54+(48/48))
Evaluating ... ...
Tc = 165
STEP 3: Convert Result to Output's Unit
165 Second -->2.75 Minute (Check conversion ​here)
FINAL ANSWER
2.75 Minute <-- Tool Life For Carbide Tool
(Calculation completed in 00.004 seconds)

Credits

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Minimum Production Cost Calculators

Machining and Operating Rate using Minimum Production Cost
​ LaTeX ​ 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))
Reference Cutting Velocity given Cutting Velocity
​ LaTeX ​ 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)
Reference Tool Life given Cutting Velocity
​ LaTeX ​ 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)
Cutting Velocity for Minimum Production Cost
​ LaTeX ​ 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

Tool Life for Minimum Production Cost when Carbide Tool is used Formula

​LaTeX ​Go
Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool))
Tc = 3*(tc+(Ct/Ct))

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.
The Taylor's Tool Life Exponent for Carbide Tool is approximately 0.25

How to Calculate Tool Life for Minimum Production Cost when Carbide Tool is used?

Tool Life for Minimum Production Cost when Carbide Tool is used calculator uses Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool)) to calculate the Tool Life For Carbide Tool, The Tool Life for Minimum Production Cost when Carbide Tool is used is a method to determine the Tool Life of a Tool made of Carbide, required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum. Tool Life For Carbide Tool is denoted by Tc symbol.

How to calculate Tool Life for Minimum Production Cost when Carbide Tool is used using this online calculator? To use this online calculator for Tool Life for Minimum Production Cost when Carbide Tool is used, enter Time to Change One Tool (tc) & Cost of A Tool (Ct) and hit the calculate button. Here is how the Tool Life for Minimum Production Cost when Carbide Tool is used calculation can be explained with given input values -> 0.045833 = 3*(54+(48/48)).

FAQ

What is Tool Life for Minimum Production Cost when Carbide Tool is used?
The Tool Life for Minimum Production Cost when Carbide Tool is used is a method to determine the Tool Life of a Tool made of Carbide, required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum and is represented as Tc = 3*(tc+(Ct/Ct)) or Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool)). Time to Change One Tool is the measure of time it takes to change one tool during machining & Cost of A Tool is simply the cost of one tool being used for machining.
How to calculate Tool Life for Minimum Production Cost when Carbide Tool is used?
The Tool Life for Minimum Production Cost when Carbide Tool is used is a method to determine the Tool Life of a Tool made of Carbide, required to operate on a workpiece such that the Cost of Production for a given Batch is Minimum is calculated using Tool Life For Carbide Tool = 3*(Time to Change One Tool+(Cost of A Tool/Cost of A Tool)). To calculate Tool Life for Minimum Production Cost when Carbide Tool is used, you need Time to Change One Tool (tc) & Cost of A Tool (Ct). With our tool, you need to enter the respective value for Time to Change One 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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