Cutting Velocity for given Taylor's Tool Life Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Velocity = Taylor's Intercept or Taylor's Constant/((Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut))
V = C/((T^n)*(f^a)*(dcut^b))
This formula uses 8 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).
Taylor's Intercept or Taylor's Constant - Taylor's Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment.
Tool Life - (Measured in Second) - Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Taylor's Tool Life Exponent - Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Taylor's exponent for Feed Rate - Taylor's exponent for Feed Rate is an experimental exponent used to draw a relation between feed rate to Workpiece and Tool Life.
Depth of Cut - (Measured in Meter) - Depth of Cut 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 for Depth of Cut - Taylor's exponent for Depth of Cut 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
Taylor's Intercept or Taylor's Constant: 85.13059 --> No Conversion Required
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.846625 --> No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Taylor's exponent for Feed Rate: 0.2 --> No Conversion Required
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)
Taylor's exponent for Depth of Cut: 0.24 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = C/((T^n)*(f^a)*(dcut^b)) --> 85.13059/((4500^0.846625)*(0.0007^0.2)*(0.013^0.24))
Evaluating ... ...
V = 0.833333011564914
STEP 3: Convert Result to Output's Unit
0.833333011564914 Meter per Second -->49.9999806938948 Meter per Minute (Check conversion here)
FINAL ANSWER
49.9999806938948 49.99998 Meter per Minute <-- Cutting Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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9 Cutting Velocity Calculators

Cutting Velocity for given Taylor's Tool Life
Go Cutting Velocity = Taylor's Intercept or Taylor's Constant/((Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut))
Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions
Go Taylor's Tool Life Exponent = (-1)*ln(Cutting Velocity/Reference Cutting Velocity)/ln(Tool Life/Reference Tool Life)
Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition
Go Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent)
Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition
Go Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent
Cutting Velocity for given Tool Life and Volume of Metal Removed
Go Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut)
Taylor's Intercept given Cutting Velocity and Taylor's Tool Life
Go Taylor's Intercept or Taylor's Constant = Taylor Cutting Velocity*(Tool Life^Taylor's Tool Life Exponent)
Cutting Velocity using Taylor's Tool Life and Intercept
Go Taylor Cutting Velocity = Taylor's Intercept or Taylor's Constant/(Tool Life^Taylor's Tool Life Exponent)
Cutting Speed of Free-Cutting Steel given Cutting Velocity of Tool and Machinability Index
Go Cutting Speed of Free-Cutting Steel = Cutting Velocity*100/Machinability Index of a Material
Cutting Velocity using Machinability Index
Go Cutting Velocity = Machinability Index of a Material*Cutting Speed of Free-Cutting Steel/100

Cutting Velocity for given Taylor's Tool Life Formula

Cutting Velocity = Taylor's Intercept or Taylor's Constant/((Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut))
V = C/((T^n)*(f^a)*(dcut^b))

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 Cutting Velocity = Taylor's Intercept or Taylor's Constant/((Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)) to calculate the Cutting 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. Cutting Velocity is denoted by V 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 Taylor's Intercept or Taylor's Constant (C), Tool Life (T), Taylor's Tool Life Exponent (n), Feed Rate (f), Taylor's exponent for Feed Rate (a), Depth of Cut (dcut) & Taylor's exponent for Depth of Cut (b) 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 -> 3000 = 85.13059/((4500^0.846625)*(0.0007^0.2)*(0.013^0.24)).

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 V = C/((T^n)*(f^a)*(dcut^b)) or Cutting Velocity = Taylor's Intercept or Taylor's Constant/((Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)). Taylor's Intercept or Taylor's Constant is an experimental constant that depends mainly upon the tool-work materials and the cutting environment, Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear, Feed Rate is defined as the tool's distance travelled during one spindle revolution, Taylor's exponent for Feed Rate is an experimental exponent used to draw a relation between feed rate to Workpiece and Tool Life, Depth of Cut 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 for Depth of Cut 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 Cutting Velocity = Taylor's Intercept or Taylor's Constant/((Tool Life^Taylor's Tool Life Exponent)*(Feed Rate^Taylor's exponent for Feed Rate)*(Depth of Cut^Taylor's exponent for Depth of Cut)). To calculate Cutting Velocity for given Taylor's Tool Life, you need Taylor's Intercept or Taylor's Constant (C), Tool Life (T), Taylor's Tool Life Exponent (n), Feed Rate (f), Taylor's exponent for Feed Rate (a), Depth of Cut (dcut) & Taylor's exponent for Depth of Cut (b). With our tool, you need to enter the respective value for Taylor's Intercept or Taylor's Constant, Tool Life, Taylor's Tool Life Exponent, Feed Rate, Taylor's exponent for Feed Rate, Depth of Cut & Taylor's exponent for Depth of Cut 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 Taylor's Intercept or Taylor's Constant, Tool Life, Taylor's Tool Life Exponent, Feed Rate, Taylor's exponent for Feed Rate, Depth of Cut & Taylor's exponent for Depth of Cut. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cutting Velocity = Machinability Index of a Material*Cutting Speed of Free-Cutting Steel/100
  • Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent
  • Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut)
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