Tool Life of One Tool given Machining Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
T = Q*(M*tc+Ct)/((Cm/tm)-M)
This formula uses 7 Variables
Variables Used
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.
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.
Machining And Operating Rate - Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
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.
Cost of A Tool - Cost of A Tool is simply the cost of one tool being used for machining.
Machining And Operating Cost of Each Product - Machining And Operating Cost of Each Product is the total amount of money required to machine a single product.
Machining Time - (Measured in Second) - Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
STEP 1: Convert Input(s) to Base Unit
Time Proportion of Cutting Edge Engagement: 0.5 --> No Conversion Required
Machining And Operating Rate: 101 --> No Conversion Required
Time to Change One Tool: 75 Second --> 75 Second No Conversion Required
Cost of A Tool: 478575 --> No Conversion Required
Machining And Operating Cost of Each Product: 4650.5 --> No Conversion Required
Machining Time: 30 Second --> 30 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = Q*(M*tc+Ct)/((Cm/tm)-M) --> 0.5*(101*75+478575)/((4650.5/30)-101)
Evaluating ... ...
T = 4500
STEP 3: Convert Result to Output's Unit
4500 Second --> No Conversion Required
FINAL ANSWER
4500 Second <-- Tool Life
(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
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Tool Cost Calculators

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
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)
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

Tool Life of One Tool given Machining Cost Formula

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)
T = Q*(M*tc+Ct)/((Cm/tm)-M)

What is Tool Life ?

Tool life is defined as the time period between two successive grinding of tools and two successive replacement of tools. It is a measure of time or a number of products a single tool can keep machining without restoring its sharpness.

How to Calculate Tool Life of One Tool given Machining Cost?

Tool Life of One Tool given Machining Cost calculator uses 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) to calculate the Tool Life, The Tool Life of One Tool given Machining Cost is a method to determine the useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known. Tool Life is denoted by T symbol.

How to calculate Tool Life of One Tool given Machining Cost using this online calculator? To use this online calculator for Tool Life of One Tool given Machining Cost, enter Time Proportion of Cutting Edge Engagement (Q), Machining And Operating Rate (M), Time to Change One Tool (tc), Cost of A Tool (Ct), Machining And Operating Cost of Each Product (Cm) & Machining Time (tm) and hit the calculate button. Here is how the Tool Life of One Tool given Machining Cost calculation can be explained with given input values -> 4500 = 0.5*(101*75+478575)/((4650.5/30)-101).

FAQ

What is Tool Life of One Tool given Machining Cost?
The Tool Life of One Tool given Machining Cost is a method to determine the useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known and is represented as T = Q*(M*tc+Ct)/((Cm/tm)-M) or 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). 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, Machining And Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Time to Change One Tool is the measure of time it takes to change one tool during machining, Cost of A Tool is simply the cost of one tool being used for machining, Machining And Operating Cost of Each Product is the total amount of money required to machine a single product & Machining Time is the time when a machine is actually processing something. Generally, machining time is the term used when there is a removal of unwanted material.
How to calculate Tool Life of One Tool given Machining Cost?
The Tool Life of One Tool given Machining Cost is a method to determine the useful Life of a cutting tool required to operate on a workpiece when Cost of Machining is known is calculated using 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). To calculate Tool Life of One Tool given Machining Cost, you need Time Proportion of Cutting Edge Engagement (Q), Machining And Operating Rate (M), Time to Change One Tool (tc), Cost of A Tool (Ct), Machining And Operating Cost of Each Product (Cm) & Machining Time (tm). With our tool, you need to enter the respective value for 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 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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