Tool Life for Minimum Production 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%
✖Time to Change One Tool is the measure of time it takes to change one tool during machining.ⓘ Time to Change One Tool [t_c]			+10% -10%
✖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 For Minimum Production Cost 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 [T_min]

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Tool Life for Minimum Production Cost Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
T_min = (1-n)*(t_c+(C_t/C_t))/n
This formula uses 4 Variables

Variables Used

Tool Life For Minimum Production Cost - (Measured in Second) - Tool Life For Minimum Production Cost 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.
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

Taylor's Tool Life Exponent: 0.540818 --> No Conversion Required
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

T_min = (1-n)*(t_c+(C_t/C_t))/n --> (1-0.540818)*(54+(48/48))/0.540818

Evaluating ... ...

T_min = 46.6977985200197

STEP 3: Convert Result to Output's Unit

46.6977985200197 Second -->0.778296642000328 Minute (Check conversion here)

FINAL ANSWER

0.778296642000328 ≈ 0.778297 Minute <-- Tool Life For Minimum Production Cost

(Calculation completed in 00.020 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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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 Formula

LaTeX 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
T_min = (1-n)*(t_c+(C_t/C_t))/n

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?

Tool Life for Minimum Production Cost calculator uses 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 to calculate the Tool Life For Minimum Production Cost, The Tool Life for Minimum Production 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 For Minimum Production Cost is denoted by T_min symbol.

How to calculate Tool Life for Minimum Production Cost using this online calculator? To use this online calculator for Tool Life for Minimum Production Cost, enter Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c) & Cost of A Tool (C_t) and hit the calculate button. Here is how the Tool Life for Minimum Production Cost calculation can be explained with given input values -> 0.012972 = (1-0.540818)*(54+(48/48))/0.540818.

FAQ

What is Tool Life for Minimum Production Cost?

The Tool Life for Minimum Production 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_min = (1-n)*(t_c+(C_t/C_t))/n or 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. Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, 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?

The Tool Life for Minimum Production 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 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. To calculate Tool Life for Minimum Production Cost, you need Taylor's Tool Life Exponent (n), Time to Change One Tool (t_c) & Cost of A Tool (C_t). With our tool, you need to enter the respective value for Taylor's Tool Life Exponent, 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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