Cutting Velocity for given Tool Life and Volume of Metal Removed Calculator

✖The Volume of Metal Removed is the total volume of metal that is removed during machining.ⓘ Volume of Metal Removed [L]			+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%
✖Feed Rate is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate [f]			+10% -10%
✖Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.ⓘ Depth of Cut [d_cut]			+10% -10%

✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity for given Tool Life and Volume of Metal Removed [V]

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Formula

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Cutting Velocity for given Tool Life and Volume of Metal Removed

Formula

`"V" = "L"/("T"*"f"*"d"_{"cut"})`

Example

`"50m/min"="34125cm³"/("75min"*"0.70mm/rev"*"13mm")`

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Cutting Velocity for given Tool Life and Volume of Metal Removed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut)
V = L/(T*f*d_cut)
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).
Volume of Metal Removed - (Measured in Cubic Meter) - The Volume of Metal Removed is the total volume of metal that is removed during machining.
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.
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Depth of Cut - (Measured in Meter) - Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

STEP 1: Convert Input(s) to Base Unit

Volume of Metal Removed: 34125 Cubic Centimeter --> 0.034125 Cubic Meter (Check conversion here)
Tool Life: 75 Minute --> 4500 Second (Check conversion here)
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = L/(T*f*d_cut) --> 0.034125/(4500*0.0007*0.013)

Evaluating ... ...

V = 0.833333333333333

STEP 3: Convert Result to Output's Unit

0.833333333333333 Meter per Second -->50 Meter per Minute (Check conversion here)

FINAL ANSWER

50 Meter per Minute <-- Cutting Velocity

(Calculation completed in 00.020 seconds)

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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!

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 for given Tool Life and Volume of Metal Removed Formula

Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut)
V = L/(T*f*d_cut)

Effects of Cutting Speed on Tool Life

Cutting speed affects tool life greatly. Increasing cutting speed increases cutting temperature and results in shortening tool life. Cutting speed varies depending on the type and hardness of the work material. Selecting a tool grade suitable for the cutting speed is necessary.

How to Calculate Cutting Velocity for given Tool Life and Volume of Metal Removed?

Cutting Velocity for given Tool Life and Volume of Metal Removed calculator uses Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut) to calculate the Cutting Velocity, The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known. Cutting Velocity is denoted by V symbol.

How to calculate Cutting Velocity for given Tool Life and Volume of Metal Removed using this online calculator? To use this online calculator for Cutting Velocity for given Tool Life and Volume of Metal Removed, enter Volume of Metal Removed (L), Tool Life (T), Feed Rate (f) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Cutting Velocity for given Tool Life and Volume of Metal Removed calculation can be explained with given input values -> 3000.005 = 0.034125/(4500*0.0007*0.013).

FAQ

What is Cutting Velocity for given Tool Life and Volume of Metal Removed?

The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known and is represented as V = L/(T*f*d_cut) or Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut). The Volume of Metal Removed is the total volume of metal that is removed during machining, Tool Life is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Feed Rate is defined as the tool's distance travelled during one spindle revolution & Depth of Cut is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.

How to calculate Cutting Velocity for given Tool Life and Volume of Metal Removed?

The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known is calculated using Cutting Velocity = Volume of Metal Removed/(Tool Life*Feed Rate*Depth of Cut). To calculate Cutting Velocity for given Tool Life and Volume of Metal Removed, you need Volume of Metal Removed (L), Tool Life (T), Feed Rate (f) & Depth of Cut (d_cut). With our tool, you need to enter the respective value for Volume of Metal Removed, Tool Life, Feed Rate & Depth of Cut 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 Volume of Metal Removed, Tool Life, Feed Rate & Depth of Cut. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cutting Velocity = Reference Cutting Velocity*(Reference Tool Life/Tool Life)^Taylor's Tool Life Exponent
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 = Machinability Index of a Material*Cutting Speed of Free-Cutting Steel/100

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