Cost to change One Tool given Cutting Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool)
CCT = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct)
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.
Cost of a Tool - The Cost of a Tool is simply the cost of one tool being used for machining.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
STEP 1: Convert Input(s) to Base Unit
Cost of a Tool: 100 --> No Conversion Required
Reference Tool Life: 12000 Minute --> 720000 Second (Check conversion here)
Cutting Velocity: 7 Meter per Second --> 7 Meter per Second No Conversion Required
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.55 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CCT = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct) --> ((100*720000/(((7/0.0833333333333333)^(1/0.55))*(1-0.55)/0.55))-100)
Evaluating ... ...
CCT = 27812.135268143
STEP 3: Convert Result to Output's Unit
27812.135268143 --> No Conversion Required
FINAL ANSWER
27812.135268143 27812.14 <-- Cost of changing each 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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10+ Cutting Velocity for Minimum Production Cost Calculators

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

Cost to change One Tool given Cutting Velocity Formula

Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool)
CCT = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct)

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 Cutting Velocity?

Cost to change One Tool given Cutting Velocity calculator uses Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool) to calculate the Cost of changing each Tool, Cost to change One Tool given Cutting Velocity 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 Cost. Cost of changing each Tool is denoted by CCT symbol.

How to calculate Cost to change One Tool given Cutting Velocity using this online calculator? To use this online calculator for Cost to change One Tool given Cutting Velocity, enter Cost of a Tool (Ct), Reference Tool Life (Tref), Cutting Velocity (V), Reference Cutting Velocity (Vref) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Cost to change One Tool given Cutting Velocity calculation can be explained with given input values -> 27812.14 = ((100*720000/(((7/0.0833333333333333)^(1/0.55))*(1-0.55)/0.55))-100).

FAQ

What is Cost to change One Tool given Cutting Velocity?
Cost to change One Tool given Cutting Velocity 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 Cost and is represented as CCT = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct) or Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool). The Cost of a Tool is simply the cost of one tool being used for machining, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, 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 & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
How to calculate Cost to change One Tool given Cutting Velocity?
Cost to change One Tool given Cutting Velocity 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 Cost is calculated using Cost of changing each Tool = ((Cost of a Tool*Reference Tool Life/(((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))-Cost of a Tool). To calculate Cost to change One Tool given Cutting Velocity, you need Cost of a Tool (Ct), Reference Tool Life (Tref), Cutting Velocity (V), Reference Cutting Velocity (Vref) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Cost of a Tool, Reference Tool Life, Cutting Velocity, Reference Cutting Velocity & Taylor's Tool Life Exponent 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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