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

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Velocity = Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
V = Vref*((dVBdtratio*Tref/VBm)^n)
This formula uses 6 Variables
Variables Used
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.
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
Reference Cutting Velocity: 5000 Millimeter per Minute --> 0.0833333333333333 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
V = Vref*((dVBdtratio*Tref/VBm)^n) --> 0.0833333333333333*((2.66666666666667E-06*300/0.00032)^0.5)
Evaluating ... ...
V = 0.131761569173682
STEP 3: Convert Result to Output's Unit
0.131761569173682 Meter per Second -->7905.69415042095 Millimeter per Minute (Check conversion here)
FINAL ANSWER
7905.69415042095 7905.694 Millimeter per Minute <-- Cutting Velocity
(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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National Institute of Technology (NIT), Srinagar
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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

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

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

Taylor's Tool Life Exponent

Taylor's Tool Life Exponent is the experimental exponent after practical data of tool machining have been tabulated for the current working condition to optimally manufacture a given batch of components for Minimum Production Time.

How to Calculate Cutting Velocity given Rate of Increase of Wear-Land Width?

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

How to calculate Cutting Velocity given Rate of Increase of Wear-Land Width using this online calculator? To use this online calculator for Cutting Velocity given Rate of Increase of Wear-Land Width, enter Reference Cutting Velocity (Vref), 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 Cutting Velocity given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 4.7E+8 = 0.0833333333333333*((2.66666666666667E-06*300/0.00032)^0.5).

FAQ

What is Cutting Velocity given Rate of Increase of Wear-Land Width?
The Cutting Velocity given Rate of Increase of Wear-Land Width is a method to determine the Cutting Velocity at the instantaneous condition when Rate of Increase of Wear-Land Width is given and is represented as V = Vref*((dVBdtratio*Tref/VBm)^n) or 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 Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, 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 Cutting Velocity given Rate of Increase of Wear-Land Width?
The Cutting Velocity given Rate of Increase of Wear-Land Width is a method to determine the Cutting Velocity at the instantaneous condition when Rate of Increase of Wear-Land Width is given is calculated using Cutting Velocity = Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent). To calculate Cutting Velocity given Rate of Increase of Wear-Land Width, you need Reference Cutting Velocity (Vref), 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 Reference 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 Cutting Velocity?
In this formula, Cutting Velocity uses Reference Cutting Velocity, Rate of Increase of Wear Land Width, Reference Tool Life, Maximum Wear Land Width & Taylor's Tool Life Exponent. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity
  • Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
  • Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
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