Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Vcut = Vrf*(Trf/Tv)^x
This formula uses 5 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).
Reference Cutting Velocity in Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity in Cutting Velocity is the cutting velocity of the tool used in the reference to machining condition.
Reference Tool Life in Cutting Velocity - (Measured in Second) - Reference Tool Life in Cutting Velocity is the tool life of the tool obtained in the reference to machining condition.
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.
STEP 1: Convert Input(s) to Base Unit
Reference Cutting Velocity in Cutting Velocity: 0.024066667 Meter per Second --> 0.024066667 Meter per Second No Conversion Required
Reference Tool Life in Cutting Velocity: 295896.06 Second --> 295896.06 Second 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcut = Vrf*(Trf/Tv)^x --> 0.024066667*(295896.06/4499.4)^0.846624
Evaluating ... ...
Vcut = 0.83284718954504
STEP 3: Convert Result to Output's Unit
0.83284718954504 Meter per Second --> No Conversion Required
FINAL ANSWER
0.83284718954504 0.832847 Meter per Second <-- Cut Velocity
(Calculation completed in 00.008 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 given Tool Lives and Cutting Velocity for Reference Machining Condition Formula

​LaTeX ​Go
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
Vcut = Vrf*(Trf/Tv)^x

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 Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?

Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition calculator uses 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 to calculate the Cut Velocity, The Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference Condition. Cut Velocity is denoted by Vcut symbol.

How to calculate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition using this online calculator? To use this online calculator for Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition, enter Reference Cutting Velocity in Cutting Velocity (Vrf), Reference Tool Life in Cutting Velocity (Trf), Tool Life in Cutting Velocity (Tv) & Taylors Tool Life Exponent in Cutting Velocity (x) and hit the calculate button. Here is how the Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition calculation can be explained with given input values -> 0.832847 = 0.024066667*(295896.06/4499.4)^0.846624.

FAQ

What is Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?
The Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference Condition and is represented as Vcut = Vrf*(Trf/Tv)^x or 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. Reference Cutting Velocity in Cutting Velocity is the cutting velocity of the tool used in the reference to machining condition, Reference Tool Life in Cutting Velocity is the tool life of the tool obtained in the reference to machining condition, 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.
How to calculate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition?
The Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition is a method to determine the Cutting Velocity required for a given Tool Life in a machining condition when compared to the reference Condition is calculated using 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. To calculate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition, you need Reference Cutting Velocity in Cutting Velocity (Vrf), Reference Tool Life in Cutting Velocity (Trf), Tool Life in Cutting Velocity (Tv) & Taylors Tool Life Exponent in Cutting Velocity (x). With our tool, you need to enter the respective value for Reference Cutting Velocity in Cutting Velocity, Reference Tool Life in Cutting Velocity, Tool Life in Cutting Velocity & Taylors Tool Life 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 Reference Cutting Velocity in Cutting Velocity, Reference Tool Life in Cutting Velocity, Tool Life in Cutting Velocity & Taylors Tool Life Exponent in Cutting Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • 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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