Tool Changing Time for each Tool given min production time Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
tc = (Tref*n/(1-n))/((V/Vref)^(1/n))
This formula uses 5 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.
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
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
tc = (Tref*n/(1-n))/((V/Vref)^(1/n)) --> (72000*0.2/(1-0.2))/((0.4/0.0833333333333333)^(1/0.2))
Evaluating ... ...
tc = 7.06425419560183
STEP 3: Convert Result to Output's Unit
7.06425419560183 Second -->0.117737569926697 Minute (Check conversion here)
FINAL ANSWER
0.117737569926697 0.117738 Minute <-- Time to Change One 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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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)

Tool Changing Time for each Tool given min production time Formula

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

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 min production time?

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

How to calculate Tool Changing Time for each Tool given min production time using this online calculator? To use this online calculator for Tool Changing Time for each Tool given min production time, enter 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 Tool Changing Time for each Tool given min production time calculation can be explained with given input values -> 0.001962 = (72000*0.2/(1-0.2))/((0.4/0.0833333333333333)^(1/0.2)).

FAQ

What is Tool Changing Time for each Tool given min production time?
The Tool Changing Time for each Tool given min production time is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total time of production and is represented as tc = (Tref*n/(1-n))/((V/Vref)^(1/n)) or 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 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 Tool Changing Time for each Tool given min production time?
The Tool Changing Time for each Tool given min production time is a method to determine the maximum time that can be spared on each tool for changing based on the minimization of the total time of production is calculated using 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)). To calculate Tool Changing Time for each Tool given min production time, you need 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 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.
How many ways are there to calculate Time to Change One Tool?
In this formula, Time to Change One Tool uses Reference Tool Life, Taylor's Tool Life Exponent, Cutting Velocity & Reference Cutting Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Time to Change One Tool = Tool Life*Taylor's Tool Life Exponent/(1-Taylor's Tool Life Exponent)
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