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*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))
CCT = M*(Tref*n/(1-n))/((V/Vref)^(1/n))
This formula uses 6 Variables
Variables Used
Cost of changing each Tool - The cost of changing each Tool is the cost that arises due to the time taken by the operator to change one tool when he is paid by the hour.
Machining and Operating Rate - Machining and Operating Rate 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 Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
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: 0.35 --> No Conversion Required
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.2 --> No Conversion Required
Cutting Velocity: 24 Meter per Minute --> 0.4 Meter per Second (Check conversion here)
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CCT = M*(Tref*n/(1-n))/((V/Vref)^(1/n)) --> 0.35*(72000*0.2/(1-0.2))/((0.4/0.0833333333333333)^(1/0.2))
Evaluating ... ...
CCT = 2.47248896846064
STEP 3: Convert Result to Output's Unit
2.47248896846064 --> No Conversion Required
FINAL ANSWER
2.47248896846064 2.472489 <-- Cost of changing each Tool
(Calculation completed in 00.019 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!

12 Minimum Production Time Criteria Calculators

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity
Go Machining and Operating Rate = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)*Cost of changing each Tool /(Taylor's Tool Life Exponent*Reference Tool Life)
Cost to change One Tool given min production time
Go Cost of changing each Tool = Machining and Operating Rate*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))
Cutting Velocity for Minimum Production Time given Tool Changing Cost
Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Machining and Operating Rate*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Cost of changing each Tool))^Taylor's Tool Life Exponent)
Tool Changing Time for each Tool given min production time
Go Time to Change One Tool = (Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))
Reference Cutting Velocity using Minimum Production Time
Go Reference Cutting Velocity = Cutting Velocity/((Taylor's Tool Life Exponent*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Time to Change One Tool))^Taylor's Tool Life Exponent)
Reference Tool Life given Min Production time
Go Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)*Time to Change One Tool/Taylor's Tool Life Exponent
Cutting Velocity for Minimum Production Time
Go Cutting Velocity = Reference Cutting Velocity*((Taylor's Tool Life Exponent*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Time to Change One Tool))^Taylor's Tool Life Exponent)
Machining and Operating Rate given Tool Changing Cost and Tool Life
Go Machining and Operating Rate = Cost of changing each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Tool Life)
Tool Life for Minimum Production Time given Tool Changing Cost
Go Tool Life = Cost of changing each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Machining and Operating Rate)
Tool Changing Time for each Tool given Tool Life
Go Time to Change One Tool = Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent)
Tool Life for Minimum Production Time
Go Tool Life = Time to Change One Tool*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent
Taylor's Tool Life Exponent given Tool Life
Go Taylor's Tool Life Exponent = Time to Change One Tool/(Time to Change One Tool+Tool Life)

Cost to change One Tool given min production time Formula

Cost of changing each Tool = Machining and Operating Rate*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))
CCT = M*(Tref*n/(1-n))/((V/Vref)^(1/n))

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*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)) 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 (M), Reference Tool Life (Tref), Taylor's Tool Life Exponent (n), Cutting Velocity (V) & 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 -> 2.472489 = 0.35*(72000*0.2/(1-0.2))/((0.4/0.0833333333333333)^(1/0.2)) .

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 = M*(Tref*n/(1-n))/((V/Vref)^(1/n)) or Cost of changing each Tool = Machining and Operating Rate*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)). Machining and Operating Rate 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 Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & 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*(Reference Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent))/((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)). To calculate Cost to change One Tool given min production time, you need Machining and Operating Rate (M), Reference Tool Life (Tref), Taylor's Tool Life Exponent (n), Cutting Velocity (V) & Reference Cutting Velocity (Vref). With our tool, you need to enter the respective value for Machining and Operating Rate, Reference Tool Life, Taylor's Tool Life Exponent, Cutting Velocity & 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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