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%
✖Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.ⓘ Cost of Changing Each Tool [C_ct]			+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 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 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 - Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.
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
Cost of Changing Each Tool: 9.8 --> No Conversion Required
Cost of A Tool: 48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (1-n)*(C_ct+C_t)/(n*C_t) --> (1-0.540818)*(9.8+48)/(0.540818*48)

Evaluating ... ...

T = 1.0223987706277

STEP 3: Convert Result to Output's Unit

1.0223987706277 Second -->0.0170399795104617 Minute (Check conversion here)

FINAL ANSWER

0.0170399795104617 ≈ 0.01704 Minute <-- Tool Life

(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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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 given Tool Changing Cost Formula

LaTeX 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)
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 -> 0.015021 = (1-0.540818)*(9.8+48)/(0.540818*48).

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, Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour & 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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