✖Reference Cutting Velocity in Cutting Velocity is the cutting velocity of the tool used in the reference to machining condition.ⓘ Reference Cutting Velocity in Cutting Velocity [V_rf]			+10% -10%
✖Reference Tool Life in Cutting Velocity is the tool life of the tool obtained in the reference to machining condition.ⓘ Reference Tool Life in Cutting Velocity [T_rf]			+10% -10%
✖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.ⓘ Tool Life in Cutting Velocity [T_v]			+10% -10%
✖Taylors Tool Life Exponent in Cutting Velocity is an experimental exponent that helps in quantifying the rate of tool wear.ⓘ Taylors Tool Life Exponent in Cutting Velocity [x]			+10% -10%

✖The Cut Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition [V_cut]

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Formula

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

Formula

`"V"_{"cut"} = "V"_{"rf"}*("T"_{"rf"}/"T"_{"v"})^"x"`

Example

`"0.832847m/s"="0.024066667m/s"*("295896.06s"/"4499.4s")^".846624"`

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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
V_cut = V_rf*(T_rf/T_v)^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

V_cut = V_rf*(T_rf/T_v)^x --> 0.024066667*(295896.06/4499.4)^0.846624

Evaluating ... ...

V_cut = 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 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Tool Life and Tool Wear » Cutting Velocity » Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition

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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

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

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 V_cut 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 (V_rf), Reference Tool Life in Cutting Velocity (T_rf), Tool Life in Cutting Velocity (T_v) & 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 V_cut = V_rf*(T_rf/T_v)^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 (V_rf), Reference Tool Life in Cutting Velocity (T_rf), Tool Life in Cutting Velocity (T_v) & 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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