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%
✖The 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_each]

⎘ Copy

👎

Formula

✖

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

Formula

`"t"_{"each"} = ("T"*"n"/(1-"n"))-("C"_{"t"}/"C"_{"t"})`

Example

`"91.65min"=("75min"*".55"/(1-".55"))-("100"/"100")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF PDF Image

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_each = (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 - The 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: 75 Minute --> 4500 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_each = (T*n/(1-n))-(C_t/C_t) --> (4500*0.55/(1-0.55))-(100/100)

Evaluating ... ...

t_each = 5499

STEP 3: Convert Result to Output's Unit

5499 Second -->91.65 Minute (Check conversion here)

FINAL ANSWER

91.65 Minute <-- Time to Change Each Tool

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Metal-Machining Economics » Production Cost » Minimum Production Cost » Tool Changing Time for each Tool given Tool Life and tool cost

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!

< 20 Minimum Production Cost Calculators

Machining and Operating Rate given Tool Changing Cost

Go Machining and Operating Rate = ((Cost of a Tool+Cost of changing each 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))

Machining and Operating Rate using Minimum Production Cost

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))

Cost of One Tool given Cutting Velocity

Go Cost of a Tool = Machining and Operating Rate*((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)

Tool Changing Time for each Tool given Cutting Velocity

Go Time to Change One Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool)/Cost of a Tool

Reference Tool Life given Cutting Velocity

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)

Reference Cutting Velocity given Cutting Velocity

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)

Cutting Velocity for Minimum Production Cost

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)

Cost of One Tool for Minimum Production Cost given cutting speed

Go Cost of a Tool = Machining and Operating Rate*((Reference Tool Life*(Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))-Time to Change One Tool)

Cost to change One Tool given Cutting Velocity

Go Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool)

Cutting Velocity for Minimum Production Cost given Tool Changing Cost

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 changing each Tool+Cost of a Tool)))^Taylor's Tool Life Exponent)

Machining and Operating Rate if cost of changing tool is also considered

Go Machining Rate For Cost Changing Tool = ((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

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

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)

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

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)

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

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 For High Speed Steel = 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 For Carbide Tool = 3*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))

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

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_each = (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_each 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 -> 1.5275 = (4500*0.55/(1-0.55))-(100/100).

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_each = (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 & The 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.

Home

FREE PDFs

🔍 Search