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 Engagement*Tool Life
Tref = ((V/Vref)^(1/n))*Q*T
This formula uses 6 Variables
Variables Used
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained 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).
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.
Time Proportion of Cutting Edge Engagement - Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
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: 0.5 --> No Conversion Required
Time Proportion of Cutting Edge Engagement: 0.4 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tref = ((V/Vref)^(1/n))*Q*T --> ((0.133333333333333/0.0833333333333333)^(1/0.5))*0.4*4500
Evaluating ... ...
Tref = 4607.99999999998
STEP 3: Convert Result to Output's Unit
4607.99999999998 Second -->76.7999999999997 Minute (Check conversion here)
FINAL ANSWER
76.7999999999997 76.8 Minute <-- Reference Tool Life
(Calculation completed in 00.004 seconds)

Credits

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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3 Reference Tool Life Calculators

Reference Tool Life given Optimum Spindle Speed
Go Reference Tool Life = (((Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/Reference Cutting Velocity)^(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))
Reference Tool Life given Rate of Increase of Wear-Land Width
Go Reference Tool Life = Maximum Wear Land Width/(Rate of Increase of Wear Land Width*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))
Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation
Go Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*Time Proportion of Cutting Edge Engagement*Tool Life

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

Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*Time Proportion of Cutting Edge Engagement*Tool Life
Tref = ((V/Vref)^(1/n))*Q*T

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 Engagement*Tool Life to calculate the Reference Tool Life, The Reference Tool Life given Cutting Speed for Constant-Cutting-Speed Operation is a method to determine the Tool Life for the reference condition when Machining is done under the current condition for Constant Surface Speed. 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 Engagement (Q) & Tool Life (T) 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 -> 1.28 = ((0.133333333333333/0.0833333333333333)^(1/0.5))*0.4*4500.

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 is a method to determine the Tool Life for the reference condition when Machining is done under the current condition for Constant Surface Speed and is represented as Tref = ((V/Vref)^(1/n))*Q*T or Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*Time Proportion of Cutting Edge Engagement*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, Time Proportion of Cutting Edge Engagement is the fractional portion of machining time during which the Cutting Edge of the tool is engaged with the workpiece & Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
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 is a method to determine the Tool Life for the reference condition when Machining is done under the current condition for Constant Surface Speed is calculated using Reference Tool Life = ((Cutting Velocity/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*Time Proportion of Cutting Edge Engagement*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 Engagement (Q) & Tool Life (T). 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 Engagement & 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 Engagement & Tool Life. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Reference Tool Life = (((Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/Reference Cutting Velocity)^(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))
  • Reference Tool Life = Maximum Wear Land Width/(Rate of Increase of Wear Land Width*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent)))
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