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*(Vr*Tref/w)^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 refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations.
Rate of Increase of Wear Land Width - (Measured in Meter per Second) - Rate of Increase of Wear Land Width is the rate at which the width of the worn surface on the cutting tool's flank or cutting edge grows over time during the machining process.
Reference Tool Life - (Measured in Second) - Reference Tool Life refers to a standard or predetermined lifespan used as a baseline for estimating the expected durability of cutting tools under specific machining conditions.
Maximum Wear Land Width - (Measured in Meter) - Maximum Wear Land Width is the width of the worn surface on the cutting tool's flank or cutting edge due to continuous contact with the workpiece material during machining.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining.
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: 0.010667 Millimeter per Minute --> 1.77783333333333E-07 Meter per Second (Check conversion ​here)
Reference Tool Life: 5 Minute --> 300 Second (Check conversion ​here)
Maximum Wear Land Width: 0.021334 Millimeter --> 2.1334E-05 Meter (Check conversion ​here)
Taylor's Tool Life Exponent: 0.512942 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = Vref*(Vr*Tref/w)^n --> 0.0833333333333333*(1.77783333333333E-07*300/2.1334E-05)^0.512942
Evaluating ... ...
V = 0.133333382845777
STEP 3: Convert Result to Output's Unit
0.133333382845777 Meter per Second -->8000.0029707466 Millimeter per Minute (Check conversion ​here)
FINAL ANSWER
8000.0029707466 8000.003 Millimeter per Minute <-- Cutting Velocity
(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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Cutting Speed Calculators

Time for Facing given Instantaneous Cutting Speed
​ LaTeX ​ Go Process Time = (Outer Radius of Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
Reference Cutting Velocity given Rate of Increase of Wear-Land Width
​ LaTeX ​ 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
​ LaTeX ​ 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
Instantaneous Cutting Speed
​ LaTeX ​ Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

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

​LaTeX ​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
V = Vref*(Vr*Tref/w)^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 referred to as the cutting speed, is a critical parameter that directly influences tool wear and machining performance. The rate of increase of wear-land width, on the other hand, describes how rapidly the width of the worn surface on the cutting tool increases over time during the machining process. 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 (Vr), Reference Tool Life (Tref), Maximum Wear Land Width (w) & 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 -> 2E+10 = 0.0833333333333333*(1.77783333333333E-07*300/2.1334E-05)^0.512942.

FAQ

What is Cutting Velocity given Rate of Increase of Wear-Land Width?
The Cutting Velocity given Rate of Increase of Wear-Land Width referred to as the cutting speed, is a critical parameter that directly influences tool wear and machining performance. The rate of increase of wear-land width, on the other hand, describes how rapidly the width of the worn surface on the cutting tool increases over time during the machining process and is represented as V = Vref*(Vr*Tref/w)^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 refers to a standard cutting speed used as a baseline or reference point for selecting appropriate cutting speeds for specific machining operations, Rate of Increase of Wear Land Width is the rate at which the width of the worn surface on the cutting tool's flank or cutting edge grows over time during the machining process, Reference Tool Life refers to a standard or predetermined lifespan used as a baseline for estimating the expected durability of cutting tools under specific machining conditions, Maximum Wear Land Width is the width of the worn surface on the cutting tool's flank or cutting edge due to continuous contact with the workpiece material during machining & Taylor's Tool Life Exponent is a parameter used in tool life equations to describe the relationship between cutting speed and tool life in metal machining.
How to calculate Cutting Velocity given Rate of Increase of Wear-Land Width?
The Cutting Velocity given Rate of Increase of Wear-Land Width referred to as the cutting speed, is a critical parameter that directly influences tool wear and machining performance. The rate of increase of wear-land width, on the other hand, describes how rapidly the width of the worn surface on the cutting tool increases over time during the machining process 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 (Vr), Reference Tool Life (Tref), Maximum Wear Land Width (w) & 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 = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
  • Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outer Radius of Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
  • Cutting Velocity = (Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge))^Taylor's Tool Life Exponent*Reference Cutting Velocity
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