Reference Cutting Velocity given Rate of Increase of Wear-Land Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
Vref = V/((dVBdtratio*Tref/VBm)^n)
This formula uses 6 Variables
Variables Used
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).
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 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.
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
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (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 Tool Life: 5 Minute --> 300 Second (Check conversion here)
Maximum Wear Land Width: 0.32 Millimeter --> 0.00032 Meter (Check conversion here)
Taylor's Tool Life Exponent: 0.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vref = V/((dVBdtratio*Tref/VBm)^n) --> 0.133333333333333/((2.66666666666667E-06*300/0.00032)^0.5)
Evaluating ... ...
Vref = 0.0843274042711565
STEP 3: Convert Result to Output's Unit
0.0843274042711565 Meter per Second -->5059.64425626939 Millimeter per Minute (Check conversion here)
FINAL ANSWER
5059.64425626939 5059.644 Millimeter per Minute <-- Reference Cutting Velocity
(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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7 Cutting Velocity Calculators

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

Reference Cutting Velocity given Rate of Increase of Wear-Land Width Formula

Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
Vref = V/((dVBdtratio*Tref/VBm)^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 Cutting Velocity given Rate of Increase of Wear-Land Width?

Reference Cutting Velocity given Rate of Increase of Wear-Land Width calculator uses Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent) to calculate the Reference Cutting Velocity, The Reference Cutting Velocity given Rate of Increase of Wear-Land Width is a method to determine the Cutting Velocity for the reference condition when Rate of Increase of Wear-Land Width is given. Reference Cutting Velocity is denoted by Vref symbol.

How to calculate Reference Cutting Velocity given Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Reference Cutting Velocity given Rate of Increase of Wear-Land Width, enter Cutting Velocity (V), Rate of Increase of Wear Land Width (dVBdtratio), Reference Tool Life (Tref), Maximum Wear Land Width (VBm) & Taylor's Tool Life Exponent (n) and hit the calculate button. Here is how the Reference Cutting Velocity given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 3E+8 = 0.133333333333333/((2.66666666666667E-06*300/0.00032)^0.5).

FAQ

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