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 of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate)
tc = (T*n/((1-n)*Q))-(Ct/M)
This formula uses 6 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.
Time Proportion of Cutting Edge Engagement - Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
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: 75 Minute --> 4500 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.032362 --> No Conversion Required
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Cost of a Tool: 100 --> No Conversion Required
Machining and Operating Rate: 101 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
tc = (T*n/((1-n)*Q))-(Ct/M) --> (4500*0.032362/((1-0.032362)*0.5))-(100/101)
Evaluating ... ...
tc = 300.008828274889
STEP 3: Convert Result to Output's Unit
300.008828274889 Second -->5.00014713791482 Minute (Check conversion here)
FINAL ANSWER
5.00014713791482 5.000147 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
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24 Tool and Machining Costs Calculators

Taylor's Exponent for Minimum Machining Cost given Tool Life
Go Taylor's Tool Life Exponent = ((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion of Cutting Edge Engagement)/(Tool Life+((Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*Time Proportion of Cutting Edge Engagement))
Machining and Operating Rate given Machining Cost
Go Machining and Operating Rate = ((Machining and Operating Cost of Each Product/Machining Time)-(Time Proportion of Cutting Edge Engagement*Cost of a Tool/Tool Life))/((Time Proportion of Cutting Edge Engagement*Time to Change One Tool/Tool Life)+1)
Tool Changing Time for 1 Tool given Machining Cost
Go Time to Change One Tool = ((Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of a Tool)/Machining and Operating Rate
Tool Life of One Tool given Machining Cost
Go Tool Life = Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)
Cost of 1 Tool given Machining Cost
Go Cost of a Tool = (Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-(Machining and Operating Rate*Time to Change One Tool)
Time Proportion of Cutting Edge Engagement given Machining Cost
Go Time Proportion of Cutting Edge Engagement = Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)
Machining Time per component given Machining Cost
Go Machining Time = Machining and Operating Cost of Each Product/(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
Machining Cost per component
Go Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Machining and Operating Rate*Time to Change One Tool+Cost of a Tool)/Tool Life))
Tool Changing Cost per Tool given Tool Life for Minimum Machining Cost
Go Cost of changing each Tool = (Tool Life*Taylor's Tool Life Exponent*Machining and Operating Rate/(Time Proportion of Cutting Edge Engagement*(1-Taylor's Tool Life Exponent)))-Cost of a Tool
Tool Changing Cost per Tool given Machining Cost
Go Cost of changing each Tool = (Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of a Tool
Machining Cost given Tool Changing Cost per Tool
Go Machining and Operating Cost of Each Product = Machining Time*(Machining and Operating Rate+(Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)/Tool Life))
Tool Life of One Tool for Minimum Machining Cost given Tool Changing Cost per Tool
Go Tool Life = Time Proportion of Cutting Edge Engagement*(Cost of changing each Tool+Cost of a Tool)*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)
Time Proportion of Cutting Edge Engagement given Tool Life for Minimum Machining Cost
Go Time Proportion of Cutting Edge Engagement = Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate)))
Tool Changing Time for 1 Tool given Tool Life for Minimum Machining Cost
Go Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate)
Machining and Operating Rate given Tool Life for Minimum Machining Cost
Go Machining and Operating Rate = Cost of a Tool/((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)
Cost of 1 Tool given Tool Life for Minimum Machining Cost
Go Cost of a Tool = ((Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-Time to Change One Tool)*Machining and Operating Rate
Tool Life of One Tool for Minimum Machining Cost
Go Tool Life = Time Proportion of Cutting Edge Engagement*(Time to Change One Tool+(Cost of a Tool/Machining and Operating Rate))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent
Taylor's Exponent for Minimum Machining Cost per component
Go Taylor's Tool Life Exponent = 1-(Machining Time for Minimum Cost*Machining and Operating Rate/Machining and Operating Cost of Each Product)
Machining and Operating Rate for Minimum Machining Cost
Go Machining and Operating Rate = Machining and Operating Cost of Each Product*(1-Taylor's Tool Life Exponent)/Machining Time for Minimum Cost
Machining Time per component for Minimum Machining Cost
Go Machining Time for Minimum Cost = Machining and Operating Cost of Each Product*(1-Taylor's Tool Life Exponent)/Machining and Operating Rate
Minimum Cost of Machining per component
Go Machining and Operating Cost of Each Product = Machining and Operating Rate*Machining Time for Minimum Cost/(1-Taylor's Tool Life Exponent)
Cutting Velocity of one product given Constant for Machining Operation
Go Cutting Velocity = Constant For Machining Condition/Machining Time
Constant for Machining Operation of one product given Machining Condition
Go Constant For Machining Condition = Machining Time*Cutting Velocity
Machining Time of one product given Constant for Machining Operation
Go Machining Time = Constant For Machining Condition/Cutting Velocity

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

Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(Cost of a Tool/Machining and Operating Rate)
tc = (T*n/((1-n)*Q))-(Ct/M)

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 of Cutting Edge Engagement))-(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 of Cutting Edge Engagement (Q), Cost of a Tool (Ct) & Machining and Operating Rate (M) 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 -> 0.083336 = (4500*0.032362/((1-0.032362)*0.5))-(100/101).

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)*Q))-(Ct/M) or Time to Change One Tool = (Tool Life*Taylor's Tool Life Exponent/((1-Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge Engagement))-(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 of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece, The Cost of a Tool is simply the cost of one tool being used for machining & 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 of Cutting Edge Engagement))-(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 of Cutting Edge Engagement (Q), Cost of a Tool (Ct) & Machining and Operating Rate (M). With our tool, you need to enter the respective value for Tool Life, Taylor's Tool Life Exponent, Time Proportion of Cutting Edge Engagement, 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.
How many ways are there to calculate Time to Change One Tool?
In this formula, Time to Change One Tool uses Tool Life, Taylor's Tool Life Exponent, Time Proportion of Cutting Edge Engagement, Cost of a Tool & Machining and Operating Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Time to Change One Tool = ((Tool Life*((Machining and Operating Cost of Each Product/Machining Time)-Machining and Operating Rate)/Time Proportion of Cutting Edge Engagement)-Cost of a Tool)/Machining and Operating Rate
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