Cutting Velocity for Minimum Production Time Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
V = Vref*((n*Tref/((1-n)*tc))^n)
This formula uses 5 Variables
Variables Used
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.
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
Reference Cutting Velocity: 5 Meter per Minute --> 0.0833333333333333 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
V = Vref*((n*Tref/((1-n)*tc))^n) --> 0.0833333333333333*((0.2*72000/((1-0.2)*96))^0.2)
Evaluating ... ...
V = 0.23736627167848
STEP 3: Convert Result to Output's Unit
0.23736627167848 Meter per Second -->14.2419763007088 Meter per Minute (Check conversion here)
FINAL ANSWER
14.2419763007088 14.24198 Meter per Minute <-- 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)

Cutting Velocity for Minimum Production Time Formula

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

Ideal Capacity of a Machine Tool

The desired characteristics of a Machine Toole are:
1. Powerful and high Strength
2. Rigid and Stable
3. Tools allows much higher Cutting Velocity, if required and permissible
4. Low wear

How to Calculate Cutting Velocity for Minimum Production Time?

Cutting Velocity for Minimum Production Time calculator uses 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) to calculate the Cutting Velocity, The Cutting Velocity for Minimum Production Time is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum. Cutting Velocity is denoted by V symbol.

How to calculate Cutting Velocity for Minimum Production Time using this online calculator? To use this online calculator for Cutting Velocity for Minimum Production Time, enter Reference Cutting Velocity (Vref), 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 Cutting Velocity for Minimum Production Time calculation can be explained with given input values -> 854.5186 = 0.0833333333333333*((0.2*72000/((1-0.2)*96))^0.2).

FAQ

What is Cutting Velocity for Minimum Production Time?
The Cutting Velocity for Minimum Production Time is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum and is represented as V = Vref*((n*Tref/((1-n)*tc))^n) or 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). 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, 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 Cutting Velocity for Minimum Production Time?
The Cutting Velocity for Minimum Production Time is a method to determine the Cutting Velocity required to operate on a workpiece such that the Time of Production for a given Batch is Minimum is calculated using 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). To calculate Cutting Velocity for Minimum Production Time, you need Reference Cutting Velocity (Vref), 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 Reference 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.
How many ways are there to calculate Cutting Velocity?
In this formula, Cutting Velocity uses Reference Cutting Velocity, Taylor's Tool Life Exponent, Reference Tool Life & Time to Change One Tool. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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