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

✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity [V_ref]			+10% -10%
✖Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.ⓘ Reference Tool Life [T_ref]			+10% -10%
✖Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Tool Life [T]			+10% -10%
✖Taylor's Tool Life Exponent is an experimental exponent that helps in quantifying the rate of Tool Wear.ⓘ Taylor's Tool Life Exponent [n]			+10% -10%

✖The Cutting 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]

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Formula

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

Formula

`"V" = "V"_{"ref"}*("T"_{"ref"}/"T")^"n"`

Example

`"50m/min"="1.445m/min"*("4931.601min"/"75min")^".846625"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent
V = V_ref*(T_ref/T)^n
This formula uses 5 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).
Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
Reference Tool Life - (Measured in Second) - Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition.
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.

STEP 1: Convert Input(s) to Base Unit

Reference Cutting Velocity: 1.445 Meter per Minute --> 0.0240833333333333 Meter per Second (Check conversion here)
Reference Tool Life: 4931.601 Minute --> 295896.06 Second (Check conversion here)
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Taylor's Tool Life Exponent: 0.846625 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = V_ref*(T_ref/T)^n --> 0.0240833333333333*(295896.06/4500)^0.846625

Evaluating ... ...

V = 0.833333349728377

STEP 3: Convert Result to Output's Unit

0.833333349728377 Meter per Second -->50.0000009837026 Meter per Minute (Check conversion here)

FINAL ANSWER

50.0000009837026 ≈ 50 Meter per Minute <-- Cutting 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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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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< 13 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)

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 = 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

Machinability Index

Go Machinability Index of a Material = Cutting Velocity*100/Cutting Speed of Free-Cutting Steel

Feed for Sintered-Carbide Tools using Crater Depth

Go Feed Rate = (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

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

Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent
V = V_ref*(T_ref/T)^n

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 Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent to calculate the Cutting 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. Cutting Velocity is denoted by V 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 (V_ref), Reference Tool Life (T_ref), Tool Life (T) & Taylor's Tool Life Exponent (n) 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 -> 3000 = 0.0240833333333333*(295896.06/4500)^0.846625.

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 = V_ref*(T_ref/T)^n or Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent. Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition, Reference Tool Life is the Tool Life of the tool obtained in the reference Machining Condition, 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.

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 Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent. To calculate Cutting Velocity given Tool Lives and Cutting Velocity for Reference Machining Condition, you need Reference Cutting Velocity (V_ref), Reference Tool Life (T_ref), Tool Life (T) & Taylor's Tool Life Exponent (n). With our tool, you need to enter the respective value for Reference Cutting Velocity, Reference Tool Life, Tool Life & Taylor's Tool Life Exponent 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 Reference Cutting Velocity, Reference Tool Life, Tool Life & Taylor's Tool Life Exponent. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))
Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut)
Cutting Velocity = Machinability Index of a Material*Cutting Speed of Free-Cutting Steel/100

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