Reference Cutting Velocity using Minimum Production Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Vref = V/((n*Tref/((1-n)*tc))^n)
This formula uses 5 Variables
Variables Used
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used 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).
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.
STEP 1: Convert Input(s) to Base Unit
Cutting Velocity: 24 Meter per Minute --> 0.4 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.2 --> No Conversion Required
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
Time to Change One Tool: 1.6 Minute --> 96 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vref = V/((n*Tref/((1-n)*tc))^n) --> 0.4/((0.2*72000/((1-0.2)*96))^0.2)
Evaluating ... ...
Vref = 0.140429948609061
STEP 3: Convert Result to Output's Unit
0.140429948609061 Meter per Second -->8.42579691654367 Meter per Minute (Check conversion here)
FINAL ANSWER
8.42579691654367 8.425797 Meter per Minute <-- Reference Cutting Velocity
(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
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)

Reference Cutting Velocity using Minimum Production Time Formula

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

What is Reference Machining Condition?

Reference Machining Condition is usually a state of Machining Operation which has been idealized as the most suitable. It is used to draw a comparison between different other Machining Conditions.

How to Calculate Reference Cutting Velocity using Minimum Production Time?

Reference Cutting Velocity using Minimum Production Time calculator uses 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) to calculate the Reference Cutting Velocity, The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum. Reference Cutting Velocity is denoted by Vref symbol.

How to calculate Reference Cutting Velocity using Minimum Production Time using this online calculator? To use this online calculator for Reference Cutting Velocity using Minimum Production Time, enter Cutting Velocity (V), Taylor's Tool Life Exponent (n), Reference Tool Life (Tref) & Time to Change One Tool (tc) and hit the calculate button. Here is how the Reference Cutting Velocity using Minimum Production Time calculation can be explained with given input values -> 505.5478 = 0.4/((0.2*72000/((1-0.2)*96))^0.2) .

FAQ

What is Reference Cutting Velocity using Minimum Production Time?
The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum and is represented as Vref = V/((n*Tref/((1-n)*tc))^n) or 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). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition & Time to Change One Tool is the measure of time it takes to change one tool during machining.
How to calculate Reference Cutting Velocity using Minimum Production Time?
The Reference Cutting Velocity using Minimum Production Time is a method to determine the optimal Cutting Velocity required for a given Batch Size in a reference machining condition to manufacture such that the Total Production Time is minimum is calculated using 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). To calculate Reference Cutting Velocity using Minimum Production Time, you need Cutting Velocity (V), Taylor's Tool Life Exponent (n), Reference Tool Life (Tref) & Time to Change One Tool (tc). With our tool, you need to enter the respective value for Cutting Velocity, Taylor's Tool Life Exponent, Reference Tool Life & Time to Change One Tool 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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