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

✖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 [T]			+10% -10%
✖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 A Tool is simply the cost of one tool being used for machining.ⓘ Cost of A Tool [C_t]			+10% -10%

✖Time to Change Each Tool is the measure of time it takes to change each tool during machining.ⓘ Tool Changing Time for each Tool given Tool Life and tool cost [t_e]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
t_e = (T*n/(1-n))-(C_t/C_t)
This formula uses 4 Variables

Variables Used

Time to Change Each Tool - (Measured in Second) - Time to Change Each Tool is the measure of time it takes to change each tool during machining.
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 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

Tool Life: 0.017045 Minute --> 1.0227 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.540818 --> No Conversion Required
Cost of A Tool: 48 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_e = (T*n/(1-n))-(C_t/C_t) --> (1.0227*0.540818/(1-0.540818))-(48/48)

Evaluating ... ...

t_e = 0.204521450318174

STEP 3: Convert Result to Output's Unit

0.204521450318174 Second -->0.00340869083863624 Minute (Check conversion here)

FINAL ANSWER

0.00340869083863624 ≈ 0.003409 Minute <-- Time to Change Each Tool

(Calculation completed in 00.004 seconds)

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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!

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

LaTeX 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)
t_e = (T*n/(1-n))-(C_t/C_t)

Significance of Cost of Tools Used

The Cost of Tools Used helps us in determining the maximum number of times a tool can be renewed during the production of a given batch of products. This renewing might include buying or resharpening the tool. Thus if the number of Tools to be used gets bounded, the machining operation would have to be optimized in order to give sufficient tool life to minimize the Total Cost of Production.

How to Calculate Tool Changing Time for each Tool given Tool Life and tool cost?

Tool Changing Time for each Tool given Tool Life and tool cost calculator uses 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) to calculate the Time to Change Each Tool, The Tool Changing Time for each Tool given Tool Life and tool cost is a method to determine the maximum amount available to be spent on renewing the Machining Tool for the production of a batch of components, such that the Total Production Cost is Minimum. Time to Change Each Tool is denoted by t_e symbol.

How to calculate Tool Changing Time for each Tool given Tool Life and tool cost using this online calculator? To use this online calculator for Tool Changing Time for each Tool given Tool Life and tool cost, enter Tool Life (T), Taylor's Tool Life Exponent (n) & Cost of A Tool (C_t) and hit the calculate button. Here is how the Tool Changing Time for each Tool given Tool Life and tool cost calculation can be explained with given input values -> 5.7E-5 = (1.0227*0.540818/(1-0.540818))-(48/48).

FAQ

What is Tool Changing Time for each Tool given Tool Life and tool cost?

The Tool Changing Time for each Tool given Tool Life and tool cost is a method to determine the maximum amount available to be spent on renewing the Machining Tool for the production of a batch of components, such that the Total Production Cost is Minimum and is represented as t_e = (T*n/(1-n))-(C_t/C_t) or 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). 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 is an experimental exponent that helps in quantifying the rate of Tool Wear & Cost of A Tool is simply the cost of one tool being used for machining.

How to calculate Tool Changing Time for each Tool given Tool Life and tool cost?

The Tool Changing Time for each Tool given Tool Life and tool cost is a method to determine the maximum amount available to be spent on renewing the Machining Tool for the production of a batch of components, such that the Total Production Cost is Minimum is calculated using 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). To calculate Tool Changing Time for each Tool given Tool Life and tool cost, you need Tool Life (T), Taylor's Tool Life Exponent (n) & Cost of A Tool (C_t). With our tool, you need to enter the respective value for Tool Life, Taylor's Tool Life Exponent & 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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