✖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 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%
✖Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate in Cutting Velocity [f_r]			+10% -10%
✖Cut Depth 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.ⓘ Cut Depth [d_c]			+10% -10%

✖The Cut 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_cut]

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Formula

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Cutting Velocity for given Tool Life and Volume of Metal Removed

Formula

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

Example

`"0.833444m/s"="34125cm³"/("4499.4s"*"0.700mm/rev"*"0.0130m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
V_cut = L/(T_v*f_r*d_c)
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).
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 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.
Feed Rate in Cutting Velocity - (Measured in Meter Per Revolution) - Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution.
Cut Depth - (Measured in Meter) - Cut Depth 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 in Cutting Velocity: 4499.4 Second --> 4499.4 Second No Conversion Required
Feed Rate in Cutting Velocity: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Cut Depth: 0.013 Meter --> 0.013 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_cut = L/(T_v*f_r*d_c) --> 0.034125/(4499.4*0.0007*0.013)

Evaluating ... ...

V_cut = 0.833444459261235

STEP 3: Convert Result to Output's Unit

0.833444459261235 Meter per Second --> No Conversion Required

FINAL ANSWER

0.833444459261235 ≈ 0.833444 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 for given Tool Life and Volume of Metal Removed

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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 for given Tool Life and Volume of Metal Removed Formula

Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
V_cut = L/(T_v*f_r*d_c)

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 Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth) to calculate the Cut 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. Cut Velocity is denoted by V_cut 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 in Cutting Velocity (T_v), Feed Rate in Cutting Velocity (f_r) & Cut Depth (d_c) 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 -> 0.833444 = 0.034125/(4499.4*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_cut = L/(T_v*f_r*d_c) or Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth). The Volume of Metal Removed is the total volume of metal that is removed during machining, 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, Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution & Cut Depth 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 Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth). To calculate Cutting Velocity for given Tool Life and Volume of Metal Removed, you need Volume of Metal Removed (L), Tool Life in Cutting Velocity (T_v), Feed Rate in Cutting Velocity (f_r) & Cut Depth (d_c). With our tool, you need to enter the respective value for Volume of Metal Removed, Tool Life in Cutting Velocity, Feed Rate in Cutting Velocity & Cut Depth 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 Volume of Metal Removed, Tool Life in Cutting Velocity, Feed Rate in Cutting Velocity & Cut Depth. We can use 3 other way(s) to calculate the same, which is/are as follows -

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
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 = Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100

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