Cutting Velocity for given Taylor's Tool Life Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity))
Vcut = X/((Tv^x)*(fr^e)*(dc^d))
This formula uses 8 Variables
Variables Used
Cut Velocity - (Measured in Meter per Second) - The Cut Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Taylors Intercept or Taylor's Constant - Taylors Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.
Tool Life in Cutting Velocity - (Measured in Second) - Tool Life in Cutting Velocity is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Taylors Tool Life Exponent in Cutting Velocity - Taylors Tool Life Exponent in Cutting Velocity is an experimental exponent that helps in quantifying the rate of tool wear.
Feed Rate in Cutting Velocity - (Measured in Meter Per Revolution) - Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution.
Taylors Exponent For Feed Rate in Cutting Velocity - Taylors Exponent For Feed Rate in Cutting Velocity is an experimental exponent used to draw a relation between feed rate to workpiece and tool life.
Cut Depth - (Measured in Meter) - Cut Depth is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Taylor's Exponent in Cutting Velocity - Taylor's Exponent in Cutting Velocity is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.
STEP 1: Convert Input(s) to Base Unit
Taylors Intercept or Taylor's Constant: 85.1306 --> No Conversion Required
Tool Life in Cutting Velocity: 4499.4 Second --> 4499.4 Second No Conversion Required
Taylors Tool Life Exponent in Cutting Velocity: 0.846624 --> No Conversion Required
Feed Rate in Cutting Velocity: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion ​here)
Taylors Exponent For Feed Rate in Cutting Velocity: 0.1999 --> No Conversion Required
Cut Depth: 0.013 Meter --> 0.013 Meter No Conversion Required
Taylor's Exponent in Cutting Velocity: 0.23 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcut = X/((Tv^x)*(fr^e)*(dc^d)) --> 85.1306/((4499.4^0.846624)*(0.0007^0.1999)*(0.013^0.23))
Evaluating ... ...
Vcut = 0.797434941961776
STEP 3: Convert Result to Output's Unit
0.797434941961776 Meter per Second --> No Conversion Required
FINAL ANSWER
0.797434941961776 0.797435 Meter per Second <-- Cut Velocity
(Calculation completed in 00.004 seconds)

Credits

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
Kumar Siddhant has created this Calculator and 400+ more calculators!
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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Cutting Velocity Calculators

Cutting Velocity using Taylor's Tool Life and Intercept
​ LaTeX ​ Go Taylor Cutting Velocity = Taylors Intercept or Taylor's Constant/(Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)
Resultant Cutting Velocity
​ LaTeX ​ Go Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))
Feed for Sintered-Carbide Tools using Crater Depth
​ LaTeX ​ Go Feed Rate in Cutting Velocity = (Tool Wear Crater Depth-0.06)/0.3
Crater Depth for Sintered-Carbide Tools
​ LaTeX ​ Go Tool Wear Crater Depth = 0.06+0.3*Feed Rate in Cutting Velocity

Cutting Velocity for given Taylor's Tool Life Formula

​LaTeX ​Go
Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity))
Vcut = X/((Tv^x)*(fr^e)*(dc^d))

Modified Taylor's Tool Life Equation and Effects of Cutting Speed on Tool Life

The modified Taylor's Tool Life equation is given as:
VTnfadb=C
Cutting speed affects tool life greatly. Increasing cutting speed increases cutting temperature and results in shortening tool life. Cutting speed varies depending on the type and hardness of the work material. Selecting a tool grade suitable for the cutting speed is necessary.

How to Calculate Cutting Velocity for given Taylor's Tool Life?

Cutting Velocity for given Taylor's Tool Life calculator uses Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity)) to calculate the Cut Velocity, The Cutting Velocity for given Taylor's Tool Life is a method to find the maximum Cutting Velocity with which the Workpiece can be machined when the time interval of Tool Sharpening, the feed, and the Depth of Cut is fixed. Cut Velocity is denoted by Vcut symbol.

How to calculate Cutting Velocity for given Taylor's Tool Life using this online calculator? To use this online calculator for Cutting Velocity for given Taylor's Tool Life, enter Taylors Intercept or Taylor's Constant (X), Tool Life in Cutting Velocity (Tv), Taylors Tool Life Exponent in Cutting Velocity (x), Feed Rate in Cutting Velocity (fr), Taylors Exponent For Feed Rate in Cutting Velocity (e), Cut Depth (dc) & Taylor's Exponent in Cutting Velocity (d) and hit the calculate button. Here is how the Cutting Velocity for given Taylor's Tool Life calculation can be explained with given input values -> 0.797435 = 85.1306/((4499.4^0.846624)*(0.0007^0.1999)*(0.013^0.23)).

FAQ

What is Cutting Velocity for given Taylor's Tool Life?
The Cutting Velocity for given Taylor's Tool Life is a method to find the maximum Cutting Velocity with which the Workpiece can be machined when the time interval of Tool Sharpening, the feed, and the Depth of Cut is fixed and is represented as Vcut = X/((Tv^x)*(fr^e)*(dc^d)) or Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity)). Taylors Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, Tool Life in Cutting Velocity is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Taylors Tool Life Exponent in Cutting Velocity is an experimental exponent that helps in quantifying the rate of tool wear, Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution, Taylors Exponent For Feed Rate in Cutting Velocity is an experimental exponent used to draw a relation between feed rate to workpiece and tool life, Cut Depth is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction & Taylor's Exponent in Cutting Velocity is an experimental exponent used to draw a relation between the depth of cut to workpiece and tool life.
How to calculate Cutting Velocity for given Taylor's Tool Life?
The Cutting Velocity for given Taylor's Tool Life is a method to find the maximum Cutting Velocity with which the Workpiece can be machined when the time interval of Tool Sharpening, the feed, and the Depth of Cut is fixed is calculated using Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity)). To calculate Cutting Velocity for given Taylor's Tool Life, you need Taylors Intercept or Taylor's Constant (X), Tool Life in Cutting Velocity (Tv), Taylors Tool Life Exponent in Cutting Velocity (x), Feed Rate in Cutting Velocity (fr), Taylors Exponent For Feed Rate in Cutting Velocity (e), Cut Depth (dc) & Taylor's Exponent in Cutting Velocity (d). With our tool, you need to enter the respective value for Taylors Intercept or Taylor's Constant, Tool Life in Cutting Velocity, Taylors Tool Life Exponent in Cutting Velocity, Feed Rate in Cutting Velocity, Taylors Exponent For Feed Rate in Cutting Velocity, Cut Depth & Taylor's Exponent in Cutting Velocity 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 Cut Velocity?
In this formula, Cut Velocity uses Taylors Intercept or Taylor's Constant, Tool Life in Cutting Velocity, Taylors Tool Life Exponent in Cutting Velocity, Feed Rate in Cutting Velocity, Taylors Exponent For Feed Rate in Cutting Velocity, Cut Depth & Taylor's Exponent in Cutting Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cut Velocity = Reference Cutting Velocity in Cutting Velocity*(Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity
  • Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
  • Cut Velocity = Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100
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