Tool Changing Time for each Tool given Cutting Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
tc = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct)/Ct
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.
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
tc = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct)/Ct --> ((100*720000/(((7/0.0833333333333333)^(1/0.55))*(1-0.55)/0.55))-100)/100
Evaluating ... ...
tc = 278.12135268143
STEP 3: Convert Result to Output's Unit
278.12135268143 Second -->4.63535587802383 Minute (Check conversion here)
FINAL ANSWER
4.63535587802383 4.635356 Minute <-- Time to Change One Tool
(Calculation completed in 00.020 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)

Tool Changing Time for each Tool given Cutting Velocity Formula

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
tc = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct)/Ct

Tool Changing Time and its effect on Production.

Every time a tool has certain life within which it can perform satisfactorily, and thus replacement or re-sharpening is required to perform once tool life exceeds. Cutting or machining action is also required to pause for a certain time. An increase in cutting speed or feed rate will reduce tool life and thus frequent tool changing will be desired. This unplanned and frequent interruption in machining will impose loss to the industry.

How to Calculate Tool Changing Time for each Tool given Cutting Velocity?

Tool Changing Time for each Tool given Cutting Velocity calculator uses 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 to calculate the Time to Change One Tool, The Tool Changing Time for each Tool given Cutting Velocity is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total expense of production. Time to Change One Tool is denoted by tc symbol.

How to calculate Tool Changing Time for each Tool given Cutting Velocity using this online calculator? To use this online calculator for Tool Changing Time for each 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 Tool Changing Time for each Tool given Cutting Velocity calculation can be explained with given input values -> 0.077256 = ((100*720000/(((7/0.0833333333333333)^(1/0.55))*(1-0.55)/0.55))-100)/100.

FAQ

What is Tool Changing Time for each Tool given Cutting Velocity?
The Tool Changing Time for each Tool given Cutting Velocity is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total expense of production and is represented as tc = ((Ct*Tref/(((V/Vref)^(1/n))*(1-n)/n))-Ct)/Ct or 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. 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 Tool Changing Time for each Tool given Cutting Velocity?
The Tool Changing Time for each Tool given Cutting Velocity is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total expense of production is calculated using 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. To calculate Tool Changing Time for each 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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