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 = Wmax/(Vratio*(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: 0.3125 Millimeter --> 0.0003125 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 = Wmax/(Vratio*(Vref/V)^(1/n)) --> 0.0003125/(2.66666666666667E-06*(0.0833333333333333/0.133333333333333)^(1/0.5))
Evaluating ... ...
Tref = 299.999999999998
STEP 3: Convert Result to Output's Unit
299.999999999998 Second -->4.99999999999997 Minute (Check conversion ​here)
FINAL ANSWER
4.99999999999997 5 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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National Institute of Technology (NIT), Srinagar
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Wear Land Calculators

Maximum Wear-Land Width given Rate of Increase of Wear-Land Width
​ LaTeX ​ Go Maximum Wear Land Width = Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))
Machining Time given Maximum Wear-Land Width
​ LaTeX ​ Go Machining Time = Increase in Wear Land Width Per Component*Tool Life/Maximum Wear Land Width
Increase in Wear-Land Width per Component
​ LaTeX ​ Go Increase in Wear Land Width Per Component = Maximum Wear Land Width*Machining Time/Tool Life
Maximum Wear-Land Width
​ LaTeX ​ Go Maximum Wear Land Width = Increase in Wear Land Width Per Component*Tool Life/Machining Time

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

​LaTeX ​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))
Tref = Wmax/(Vratio*(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 (Wmax), Rate of Increase of Wear Land Width (Vratio), 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 -> 0.083333 = 0.0003125/(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 = Wmax/(Vratio*(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 (Wmax), Rate of Increase of Wear Land Width (Vratio), 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.
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