Tool Changing Time for 1 Tool given Tool Life for Minimum Machining 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)*Time Proportion))-(Cost of a Tool/Machining and Operating Rate)
tc = (T*n/((1-n)*tq))-(C/R)
This formula uses 6 Variables
Variables Used
Time to Change One Tool - (Measured in Second) - Time to change one tool refers to the duration required to remove a worn-out or depleted cutting tool from the machine tool's spindle and install a new or reconditioned tool.
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.
Time Proportion - (Measured in Second) - Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Cost of a Tool - Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
STEP 1: Convert Input(s) to Base Unit
Tool Life: 3000 Second --> 3000 Second No Conversion Required
Taylor's Tool Life Exponent: 0.125 --> No Conversion Required
Time Proportion: 0.5 Second --> 0.5 Second No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
Machining and Operating Rate: 7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = (T*n/((1-n)*tq))-(C/R) --> (3000*0.125/((1-0.125)*0.5))-(100/7)
Evaluating ... ...
tc = 842.857142857143
STEP 3: Convert Result to Output's Unit
842.857142857143 Second --> No Conversion Required
FINAL ANSWER
842.857142857143 842.8571 Second <-- Time to Change One Tool
(Calculation completed in 00.004 seconds)

Credits

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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!
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Minimum Machining Cost Calculators

Machining and Operating Rate given Minimum Production Cost
​ LaTeX ​ Go Machining and Operating Rate = Production Cost of Each Component/(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))
Minimum Production Cost per Component
​ LaTeX ​ Go Production Cost of Each Component = Machining and Operating Rate*(Setup Time+(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent))))
Non-Productive Time per component given Minimum Production Cost
​ LaTeX ​ Go Setup Time = Production Cost of Each Component/Machining and Operating Rate-(Constant For Machining Condition*((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)/(Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)))
Constant for Machining Operation given Minimum Production Cost
​ LaTeX ​ Go Constant For Machining Condition = (Production Cost of Each Component/Machining and Operating Rate-Setup Time)*Reference Cutting Velocity*(1-Taylor's Tool Life Exponent)/((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost Formula

​LaTeX ​Go
Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion))-(Cost of a Tool/Machining and Operating Rate)
tc = (T*n/((1-n)*tq))-(C/R)

Significance of Total Tool Changing Time

The Total Tool Changing Time denotes the time being spent on an important but non-profitable process that is changing the Machining tool. This results in extra cost factors being accounted for as the operators are usually waged per hour or day. It is preferred that the Total Tool Changing Time in a Production Line is low so as there is a low expense on these non-profitable tasks.

How to Calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost?

Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost calculator uses Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion))-(Cost of a Tool/Machining and Operating Rate) to calculate the Time to Change One Tool, The Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the average expense to machine 1 component for a Cutting Tool of given Tool Life. Time to Change One Tool is denoted by tc symbol.

How to calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost using this online calculator? To use this online calculator for Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost, enter Tool Life (T), Taylor's Tool Life Exponent (n), Time Proportion (tq), Cost of a Tool (C) & Machining and Operating Rate (R) and hit the calculate button. Here is how the Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost calculation can be explained with given input values -> 842.8571 = (3000*0.125/((1-0.125)*0.5))-(100/7).

FAQ

What is Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost?
The Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the average expense to machine 1 component for a Cutting Tool of given Tool Life and is represented as tc = (T*n/((1-n)*tq))-(C/R) or Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion))-(Cost of a Tool/Machining and Operating Rate). 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, Time Proportion the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece, Cost of a tool is a multifaceted consideration that includes the initial purchase price, maintenance costs, tool life, and the impact on overall production costs & Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
How to calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost?
The Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost is a method to determine the maximum time that can be spared on each tool to be spent for changing based on the average expense to machine 1 component for a Cutting Tool of given Tool Life is calculated using Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion))-(Cost of a Tool/Machining and Operating Rate). To calculate Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost, you need Tool Life (T), Taylor's Tool Life Exponent (n), Time Proportion (tq), Cost of a Tool (C) & Machining and Operating Rate (R). With our tool, you need to enter the respective value for Tool Life, Taylor's Tool Life Exponent, Time Proportion, Cost of a Tool & Machining and Operating Rate 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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