Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity)
Vrf = Vcut/((Trf/Tv)^x)
This formula uses 5 Variables
Variables Used
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.
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 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
Cut Velocity: 0.831666667 Meter per Second --> 0.831666667 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
Vrf = Vcut/((Trf/Tv)^x) --> 0.831666667/((295896.06/4499.4)^0.846624)
Evaluating ... ...
Vrf = 0.0240325536076105
STEP 3: Convert Result to Output's Unit
0.0240325536076105 Meter per Second --> No Conversion Required
FINAL ANSWER
0.0240325536076105 0.024033 Meter per Second <-- Reference Cutting Velocity in Cutting 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
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National Institute of Technology (NIT), Srinagar
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13 Cutting Velocity Calculators

Cutting Velocity for given Taylor's Tool Life
​ 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))
Taylor's Exponent given Cutting Velocities, Tool Lives for two Machining Conditions
​ Go Taylors Tool Life Exponent in Cutting Velocity = (-1)*ln(Cut Velocity/Reference Cutting Velocity in Cutting Velocity)/ln(Tool Life in Cutting Velocity/Reference Tool Life in Cutting Velocity)
Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition
​ Go Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity)
Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition
​ 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
Taylor's Intercept given Cutting Velocity and Taylor's Tool Life
​ Go Taylors Intercept or Taylor's Constant = Taylor Cutting Velocity*(Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)
Cutting Velocity using Taylor's Tool Life and Intercept
​ Go Taylor Cutting Velocity = Taylors Intercept or Taylor's Constant/(Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)
Cutting Velocity for given Tool Life and Volume of Metal Removed
​ Go Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
Resultant Cutting Velocity
​ Go Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))
Cutting Speed of Free-Cutting Steel given Cutting Velocity of Tool and Machinability Index
​ Go Cutting Speed of Free-Cutting Steel = Cut Velocity*100/Machinability Index of A Material
Cutting Velocity using Machinability Index
​ Go Cut Velocity = Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100
Machinability Index
​ Go Machinability Index of A Material = Cut Velocity*100/Cutting Speed of Free-Cutting Steel
Feed for Sintered-Carbide Tools using Crater Depth
​ Go Feed Rate in Cutting Velocity = (Tool Wear Crater Depth-0.06)/0.3
Crater Depth for Sintered-Carbide Tools
​ Go Tool Wear Crater Depth = 0.06+0.3*Feed Rate in Cutting Velocity

Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition Formula

Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity)
Vrf = Vcut/((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 Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition?

Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition calculator uses Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity) to calculate the Reference Cutting Velocity in Cutting Velocity, The Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition is a method to determine the Cutting Velocity required for a known reference Tool Life in the reference machining condition when compared to the current Condition. Reference Cutting Velocity in Cutting Velocity is denoted by Vrf symbol.

How to calculate Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition using this online calculator? To use this online calculator for Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition, enter Cut Velocity (Vcut), 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 Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition calculation can be explained with given input values -> 0.024033 = 0.831666667/((295896.06/4499.4)^0.846624).

FAQ

What is Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition?
The Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition is a method to determine the Cutting Velocity required for a known reference Tool Life in the reference machining condition when compared to the current Condition and is represented as Vrf = Vcut/((Trf/Tv)^x) or Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity). The Cut Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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 Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition?
The Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition is a method to determine the Cutting Velocity required for a known reference Tool Life in the reference machining condition when compared to the current Condition is calculated using Reference Cutting Velocity in Cutting Velocity = Cut Velocity/((Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity). To calculate Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition, you need Cut Velocity (Vcut), 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 Cut 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.
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