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/((Vr*Tref/w)^n)
This formula uses 6 Variables
Variables Used
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.
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 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
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 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
Vref = V/((Vr*Tref/w)^n) --> 0.133333333333333/((1.77783333333333E-07*300/2.1334E-05)^0.512942)
Evaluating ... ...
Vref = 0.0833333023880675
STEP 3: Convert Result to Output's Unit
0.0833333023880675 Meter per Second -->4999.99814328405 Millimeter per Minute (Check conversion ​here)
FINAL ANSWER
4999.99814328405 4999.998 Millimeter per Minute <-- Reference Cutting Velocity
(Calculation completed in 00.020 seconds)

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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

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

​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)
Vref = V/((Vr*Tref/w)^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 in metal machining refers to the desired linear velocity of the cutting tool's edge relative to the workpiece surface, set in consideration of the rate at which the width of the wear land on the cutting tool increases during machining. 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 (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 Reference Cutting Velocity given Rate of Increase of Wear-Land Width calculation can be explained with given input values -> 7.3E+6 = 0.133333333333333/((1.77783333333333E-07*300/2.1334E-05)^0.512942).

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 in metal machining refers to the desired linear velocity of the cutting tool's edge relative to the workpiece surface, set in consideration of the rate at which the width of the wear land on the cutting tool increases during machining and is represented as Vref = V/((Vr*Tref/w)^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 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 Reference Cutting Velocity given Rate of Increase of Wear-Land Width?
The Reference Cutting Velocity given Rate of Increase of Wear-Land Width in metal machining refers to the desired linear velocity of the cutting tool's edge relative to the workpiece surface, set in consideration of the rate at which the width of the wear land on the cutting tool increases during machining 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 (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 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 1 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))^Taylor's Tool Life Exponent)
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