Cost to change One Tool given min production time Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))
Cct = Mmin*(Lref*nmpt/(1-nmpt))/((Vp/Vref)^(1/nmpt))
This formula uses 6 Variables
Variables Used
Cost of Changing Each Tool - Cost of Changing Each Tool is the cost that arises due to the time taken by the operator to change one tool when one is paid by the hour.
Machining And Operating Rate in Minimum Time - Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
Taylor's Exponent For Minimum Production Time - Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear.
Cutting Velocity For Minimum Production Time - (Measured in Meter per Second) - Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
STEP 1: Convert Input(s) to Base Unit
Machining And Operating Rate in Minimum Time: 0.35 --> No Conversion Required
Reference Tool Life: 103716.2 Second --> 103716.2 Second No Conversion Required
Taylor's Exponent For Minimum Production Time: 0.5 --> No Conversion Required
Cutting Velocity For Minimum Production Time: 5.977043 Meter per Second --> 5.977043 Meter per Second No Conversion Required
Reference Cutting Velocity: 0.083 Meter per Second --> 0.083 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cct = Mmin*(Lref*nmpt/(1-nmpt))/((Vp/Vref)^(1/nmpt)) --> 0.35*(103716.2*0.5/(1-0.5))/((5.977043/0.083)^(1/0.5))
Evaluating ... ...
Cct = 7.00000040484365
STEP 3: Convert Result to Output's Unit
7.00000040484365 --> No Conversion Required
FINAL ANSWER
7.00000040484365 7 <-- Cost of Changing Each 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 Production Time Calculators

Tool Changing Time for each Tool given min production time
​ LaTeX ​ Go Time to Change Tool For Minimum Production Time = (Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))
Reference Cutting Velocity using Minimum Production Time
​ LaTeX ​ Go Reference Cutting Velocity = Cutting Velocity For Minimum Production Time/((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)
Reference Tool Life given Min Production time
​ LaTeX ​ Go Reference Tool Life = (Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)*(1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time/Taylor's Exponent For Minimum Production Time
Cutting Velocity for Minimum Production Time
​ LaTeX ​ Go Cutting Velocity For Minimum Production Time = Reference Cutting Velocity*((Taylor's Exponent For Minimum Production Time*Reference Tool Life/((1-Taylor's Exponent For Minimum Production Time)*Time to Change Tool For Minimum Production Time))^Taylor's Exponent For Minimum Production Time)

Cost to change One Tool given min production time Formula

​LaTeX ​Go
Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time))
Cct = Mmin*(Lref*nmpt/(1-nmpt))/((Vp/Vref)^(1/nmpt))

How is Tool-Changing Cost generated?

The tool-changing cost is generated on the processes that basically include changing or re-sharpening the tool. These do not result in any productivity or profit whatsoever. But as the time is consumed by the operator to perform these tasks, when paid by the hour, the operators cost plants this time too.

How to Calculate Cost to change One Tool given min production time?

Cost to change One Tool given min production time calculator uses Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)) to calculate the Cost of Changing Each Tool, Cost to change One Tool given min production time is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Time. Cost of Changing Each Tool is denoted by Cct symbol.

How to calculate Cost to change One Tool given min production time using this online calculator? To use this online calculator for Cost to change One Tool given min production time, enter Machining And Operating Rate in Minimum Time (Mmin), Reference Tool Life (Lref), Taylor's Exponent For Minimum Production Time (nmpt), Cutting Velocity For Minimum Production Time (Vp) & Reference Cutting Velocity (Vref) and hit the calculate button. Here is how the Cost to change One Tool given min production time calculation can be explained with given input values -> 7 = 0.35*(103716.2*0.5/(1-0.5))/((5.977043/0.083)^(1/0.5)).

FAQ

What is Cost to change One Tool given min production time?
Cost to change One Tool given min production time is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Time and is represented as Cct = Mmin*(Lref*nmpt/(1-nmpt))/((Vp/Vref)^(1/nmpt)) or Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)). Machining And Operating Rate in Minimum Time is the money charged for processing on and operating machines per unit time, including overheads, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, Taylor's Exponent For Minimum Production Time is an experimental exponent that helps in quantifying the rate of Tool Wear, Cutting Velocity For Minimum Production Time is the tangential velocity at the periphery of the cutter or workpiece(whichever is rotating)such that production is time minimum & Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
How to calculate Cost to change One Tool given min production time?
Cost to change One Tool given min production time is a method to determine the cost that arises due to the time taken by the operator in changing 1 Cutting Tool when he is paid by the hour maintaining conditions to Minimize the Total Production Time is calculated using Cost of Changing Each Tool = Machining And Operating Rate in Minimum Time*(Reference Tool Life*Taylor's Exponent For Minimum Production Time/(1-Taylor's Exponent For Minimum Production Time))/((Cutting Velocity For Minimum Production Time/Reference Cutting Velocity)^(1/Taylor's Exponent For Minimum Production Time)). To calculate Cost to change One Tool given min production time, you need Machining And Operating Rate in Minimum Time (Mmin), Reference Tool Life (Lref), Taylor's Exponent For Minimum Production Time (nmpt), Cutting Velocity For Minimum Production Time (Vp) & Reference Cutting Velocity (Vref). With our tool, you need to enter the respective value for Machining And Operating Rate in Minimum Time, Reference Tool Life, Taylor's Exponent For Minimum Production Time, Cutting Velocity For Minimum Production Time & Reference Cutting Velocity 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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