Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life
Tref = (V/Vref)^(1/n)*Q*L
This formula uses 6 Variables
Variables Used
Reference Tool Life - (Measured in Second) - Reference Tool Life refers to a standard or predetermined lifespan used as a baseline for estimating the expected durability of cutting tools under specific machining conditions.
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 refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining.
Time Proportion of Cutting Edge - Time Proportion of Cutting Edge is the duration during a machining operation that a specific portion of the cutting edge of the tool is actively engaged in removing material from the workpiece.
Tool Life - (Measured in Second) - Tool Life refers to the duration or number of components machined before a cutting tool becomes no longer capable of maintaining the desired machining quality or performance standards.
STEP 1: Convert Input(s) to Base Unit
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion ​here)
Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 Meter per Second (Check conversion ​here)
Taylor's Tool Life Exponent: 0.512942 --> No Conversion Required
Time Proportion of Cutting Edge: 0.04 --> No Conversion Required
Tool Life: 50 Minute --> 3000 Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tref = (V/Vref)^(1/n)*Q*L --> (0.133333333333333/0.0833333333333333)^(1/0.512942)*0.04*3000
Evaluating ... ...
Tref = 299.999782815723
STEP 3: Convert Result to Output's Unit
299.999782815723 Second -->4.99999638026205 Minute (Check conversion ​here)
FINAL ANSWER
4.99999638026205 4.999996 Minute <-- Reference Tool Life
(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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​ LaTeX ​ Go Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
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​ LaTeX ​ Go Cutting Velocity = Reference Cutting Velocity*(Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent
Instantaneous Cutting Speed
​ LaTeX ​ Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation Formula

​LaTeX ​Go
Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life
Tref = (V/Vref)^(1/n)*Q*L

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 Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?

Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation calculator uses Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life to calculate the Reference Tool Life, The Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation refers to the estimated or predetermined lifespan of a cutting tool under specific machining conditions, particularly when the cutting speed remains constant throughout the machining process. Reference Tool Life is denoted by Tref symbol.

How to calculate Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation using this online calculator? To use this online calculator for Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation, enter Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Time Proportion of Cutting Edge (Q) & Tool Life (L) and hit the calculate button. Here is how the Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation calculation can be explained with given input values -> 0.083333 = (0.133333333333333/0.0833333333333333)^(1/0.512942)*0.04*3000.

FAQ

What is Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?
The Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation refers to the estimated or predetermined lifespan of a cutting tool under specific machining conditions, particularly when the cutting speed remains constant throughout the machining process and is represented as Tref = (V/Vref)^(1/n)*Q*L or Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life. The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Reference Cutting Velocity refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations, Taylor's Tool Life Exponent is a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining, Time Proportion of Cutting Edge is the duration during a machining operation that a specific portion of the cutting edge of the tool is actively engaged in removing material from the workpiece & Tool Life refers to the duration or number of components machined before a cutting tool becomes no longer capable of maintaining the desired machining quality or performance standards.
How to calculate Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation?
The Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation refers to the estimated or predetermined lifespan of a cutting tool under specific machining conditions, particularly when the cutting speed remains constant throughout the machining process is calculated using Reference Tool Life = (Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*Time Proportion of Cutting Edge*Tool Life. To calculate Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation, you need Cutting Velocity (V), Reference Cutting Velocity (Vref), Taylor's Tool Life Exponent (n), Time Proportion of Cutting Edge (Q) & Tool Life (L). With our tool, you need to enter the respective value for Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent, Time Proportion of Cutting Edge & 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 Reference Tool Life?
In this formula, Reference Tool Life uses Cutting Velocity, Reference Cutting Velocity, Taylor's Tool Life Exponent, Time Proportion of Cutting Edge & Tool Life. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reference Tool Life = ((Rotational Frequency of Spindle*2*pi*Outer Radius of Workpiece/Reference Cutting Velocity Spindle Speed)^(1/Taylor's Tool Life Exponent)*(1-Taylor's Tool Life Exponent)*(Cost of a Tool*Time to Change One Tool+Cost of a Tool)*(1-Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))/((1+Taylor's Tool Life Exponent)*Cost of a Tool*(1-Workpiece Radius Ratio))
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