Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
M = ((V/Vref)^(1/n))*(1-n)*CCT /(n*Tref)
This formula uses 6 Variables
Variables Used
Machining and Operating Rate - Machining and Operating Rate is the money charged for processing on and operating machines per unit time, including overheads.
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.
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.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
STEP 1: Convert Input(s) to Base Unit
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)
Taylor's Tool Life Exponent: 0.2 --> No Conversion Required
Cost of changing each Tool: 25 --> No Conversion Required
Reference Tool Life: 1200 Minute --> 72000 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = ((V/Vref)^(1/n))*(1-n)*CCT /(n*Tref) --> ((0.4/0.0833333333333333)^(1/0.2))*(1-0.2)*25 /(0.2*72000)
Evaluating ... ...
M = 3.53894400000001
STEP 3: Convert Result to Output's Unit
3.53894400000001 --> No Conversion Required
FINAL ANSWER
3.53894400000001 3.538944 <-- Machining and Operating Rate
(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)

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity Formula

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

Significance of Machining and Operating Rate

The Machining and Operating Rate basically helps in determining the count of components that can be manufactured in the given time for given resources. Optimizing this Rate helps in regulating the Total Machining Cost of the Production which carries the maximum weightage of the Total Production Cost.

How to Calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?

Machining and Operating Rate given Tool Changing Cost and Cutting Velocity calculator uses 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) to calculate the Machining and Operating Rate, The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool. Machining and Operating Rate is denoted by M symbol.

How to calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity using this online calculator? To use this online calculator for Machining and Operating Rate given Tool Changing Cost and Cutting Velocity, enter Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Cost of changing each Tool (CCT) & Reference Tool Life (Tref) and hit the calculate button. Here is how the Machining and Operating Rate given Tool Changing Cost and Cutting Velocity calculation can be explained with given input values -> 3.538944 = ((0.4/0.0833333333333333)^(1/0.2))*(1-0.2)*25 /(0.2*72000) .

FAQ

What is Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?
The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool and is represented as M = ((V/Vref)^(1/n))*(1-n)*CCT /(n*Tref) or 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). 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, 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 & Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
How to calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity?
The Machining and Operating Rate given Tool Changing Cost and Cutting Velocity is a method to determine the maximum expense rate that can be afforded on machines and operators such that the Total Production Time is Minimum in reference to the Cutting Velocity of Tool is calculated using 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). To calculate Machining and Operating Rate given Tool Changing Cost and Cutting Velocity, you need Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Cost of changing each Tool (CCT) & Reference Tool Life (Tref). With our tool, you need to enter the respective value for Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent, Cost of changing each Tool & Reference Tool Life 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 Machining and Operating Rate?
In this formula, Machining and Operating Rate uses Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent, Cost of changing each Tool & Reference Tool Life. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Machining and Operating Rate = Cost of changing each Tool*(1-Taylor's Tool Life Exponent)/(Taylor's Tool Life Exponent*Tool Life)
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