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

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+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%

✖Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.ⓘ Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition [V_ref]

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Formula

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

Formula

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

Example

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent)
V_ref = V/((T_ref/T)^n)
This formula uses 5 Variables

Variables Used

Reference Cutting Velocity - (Measured in Meter per Second) - Reference Cutting Velocity is the Cutting Velocity of the tool used in the reference Machining Condition.
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 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

Cutting Velocity: 50 Meter per Minute --> 0.833333333333333 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_ref = V/((T_ref/T)^n) --> 0.833333333333333/((295896.06/4500)^0.846625)

Evaluating ... ...

V_ref = 0.0240833328595165

STEP 3: Convert Result to Output's Unit

0.0240833328595165 Meter per Second -->1.44499997157099 Meter per Minute (Check conversion here)

FINAL ANSWER

1.44499997157099 ≈ 1.445 Meter per Minute <-- Reference Cutting Velocity

(Calculation completed in 00.004 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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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

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

Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent)
V_ref = V/((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 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 = Cutting Velocity/((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent) to calculate the Reference 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 is denoted by V_ref 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 Cutting Velocity (V), Reference Tool Life (T_ref), Tool Life (T) & Taylor's Tool Life Exponent (n) 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 -> 86.65689 = 0.833333333333333/((295896.06/4500)^0.846625).

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 V_ref = V/((T_ref/T)^n) or Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent). The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), 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 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 = Cutting Velocity/((Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent). To calculate Reference Cutting Velocity given Tool Lives, Cutting Velocity under Machining Condition, you need Cutting Velocity (V), 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 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.

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