Reference Tool Life given Rate of Increase of Wear-Land Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
Tref = VBm/(dVBdtratio*((Vref/V)^(1/n)))
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.
Maximum Wear Land Width - (Measured in Meter) - Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool.
Rate of Increase of Wear Land Width - (Measured in Meter per Second) - Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time.
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used 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).
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
STEP 1: Convert Input(s) to Base Unit
Maximum Wear Land Width: 0.32 Millimeter --> 0.00032 Meter (Check conversion here)
Rate of Increase of Wear Land Width: 0.16 Millimeter per Minute --> 2.66666666666667E-06 Meter per Second (Check conversion here)
Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 Meter per Second (Check conversion here)
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
Taylor's Tool Life Exponent: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tref = VBm/(dVBdtratio*((Vref/V)^(1/n))) --> 0.00032/(2.66666666666667E-06*((0.0833333333333333/0.133333333333333)^(1/0.5)))
Evaluating ... ...
Tref = 307.199999999998
STEP 3: Convert Result to Output's Unit
307.199999999998 Second -->5.11999999999997 Minute (Check conversion here)
FINAL ANSWER
5.11999999999997 5.12 Minute <-- Reference Tool Life
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
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 Rate of Increase of Wear-Land Width Formula

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)))
Tref = VBm/(dVBdtratio*((Vref/V)^(1/n)))

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 Rate of Increase of Wear-Land Width?

Reference Tool Life given Rate of Increase of Wear-Land Width calculator uses 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))) to calculate the Reference Tool Life, The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given. Reference Tool Life is denoted by Tref symbol.

How to calculate Reference Tool Life given Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Reference Tool Life given Rate of Increase of Wear-Land Width, enter Maximum Wear Land Width (VBm), Rate of Increase of Wear Land Width (dVBdtratio), Reference Cutting Velocity (Vref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Reference Tool Life given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 0.085333 = 0.00032/(2.66666666666667E-06*((0.0833333333333333/0.133333333333333)^(1/0.5))).

FAQ

What is Reference Tool Life given Rate of Increase of Wear-Land Width?
The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given and is represented as Tref = VBm/(dVBdtratio*((Vref/V)^(1/n))) or 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))). Maximum Wear Land Width is the maximum width of the region where wear occurs in a tool, Rate of Increase of Wear Land Width is the increase in the width of the region where wear occurs in a tool per unit time, Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
How to calculate Reference Tool Life given Rate of Increase of Wear-Land Width?
The Reference Tool Life given Rate of Increase of Wear-Land Width is a method to determine the Tool Life for the reference condition when Rate of Increase of Wear-Land Width is given is calculated using 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))). To calculate Reference Tool Life given Rate of Increase of Wear-Land Width, you need Maximum Wear Land Width (VBm), Rate of Increase of Wear Land Width (dVBdtratio), Reference Cutting Velocity (Vref), Cutting Velocity (V) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Maximum Wear Land Width, Rate of Increase of Wear Land Width, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent 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 Maximum Wear Land Width, Rate of Increase of Wear Land Width, Reference Cutting Velocity, Cutting Velocity & Taylor's Tool Life Exponent. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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 = (((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))
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