Cutting Velocity for Minimum Production Time given Tool Changing Cost Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
V = Vref*((n*M*Tref/((1-n)*CCT))^n)
This formula uses 6 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.
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.
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
Machining and Operating Rate: 0.35 --> No Conversion Required
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
Cost of changing each Tool: 25 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Vref*((n*M*Tref/((1-n)*CCT))^n) --> 0.0833333333333333*((0.2*0.35*72000/((1-0.2)*25))^0.2)
Evaluating ... ...
V = 0.251825011298803
STEP 3: Convert Result to Output's Unit
0.251825011298803 Meter per Second -->15.1095006779282 Meter per Minute (Check conversion here)
FINAL ANSWER
15.1095006779282 15.1095 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 given Tool Changing Cost Formula

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)
V = Vref*((n*M*Tref/((1-n)*CCT))^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 given Tool Changing Cost?

Cutting Velocity for Minimum Production Time given Tool Changing Cost calculator uses 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) to calculate the Cutting Velocity, The Cutting Velocity for Minimum Production Time given Tool Changing Cost 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 given Tool Changing Cost using this online calculator? To use this online calculator for Cutting Velocity for Minimum Production Time given Tool Changing Cost, enter Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Machining and Operating Rate (M), Reference Tool Life (Tref) & Cost of changing each Tool (CCT) and hit the calculate button. Here is how the Cutting Velocity for Minimum Production Time given Tool Changing Cost calculation can be explained with given input values -> 906.57 = 0.0833333333333333*((0.2*0.35*72000/((1-0.2)*25))^0.2) .

FAQ

What is Cutting Velocity for Minimum Production Time given Tool Changing Cost?
The Cutting Velocity for Minimum Production Time given Tool Changing Cost 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*M*Tref/((1-n)*CCT))^n) or 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). 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, Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition & 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.
How to calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost?
The Cutting Velocity for Minimum Production Time given Tool Changing Cost 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*Machining and Operating Rate*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Cost of changing each Tool))^Taylor's Tool Life Exponent). To calculate Cutting Velocity for Minimum Production Time given Tool Changing Cost, you need Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Machining and Operating Rate (M), Reference Tool Life (Tref) & Cost of changing each Tool (CCT). With our tool, you need to enter the respective value for Reference Cutting Velocity, Taylor's Tool Life Exponent, Machining and Operating Rate, Reference Tool Life & Cost of changing each 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, Machining and Operating Rate, Reference Tool Life & Cost of changing each 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*Reference Tool Life/((1-Taylor's Tool Life Exponent)*Time to Change One Tool))^Taylor's Tool Life Exponent)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!