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

STEP 0: Pre-Calculation Summary
Formula Used
Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-(Cost of a Tool/Cost of a Tool)
tc = (T*n/(1-n))-(Ct/Ct)
This formula uses 4 Variables
Variables Used
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.
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
tc = (T*n/(1-n))-(Ct/Ct) --> (4500*0.55/(1-0.55))-(100/100)
Evaluating ... ...
tc = 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 One Tool
(Calculation completed in 00.004 seconds)

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!

10+ Tool Life for Minimum Production Cost Calculators

Machining and Operating Rate if cost of changing tool is also considered
Go Machining and Operating Rate = ((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 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)
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
Tool Changing Time for each Tool given Tool Life and tool cost
Go Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-(Cost of a Tool/Cost of a Tool)
Tool Life for Minimum Production Cost
Go Tool Life = (1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of a Tool/Cost of a Tool))/Taylor's Tool Life Exponent
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 = 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 = 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 One Tool = (Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))-(Cost of a Tool/Cost of a Tool)
tc = (T*n/(1-n))-(Ct/Ct)

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 One 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 One 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 One Tool is denoted by tc 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 (Ct) 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 tc = (T*n/(1-n))-(Ct/Ct) or Time to Change One 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 One 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 (Ct). 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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