✖Life of Tool is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.ⓘ Life of Tool [TL]			+10% -10%
✖The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity in Tool Life [V]			+10% -10%
✖Feed Rate is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate [f]			+10% -10%
✖Cutting 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.ⓘ Cutting Depth [d'_cut]			+10% -10%

✖Metal Removed Volume is the total volume of metal that is removed during machining.ⓘ Volume of Metal removed given Cutting Velocity and Tool Life [vol]

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Formula

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Volume of Metal removed given Cutting Velocity and Tool Life

Formula

`"vol" = "TL"*"V"*"f"*"d'"_{"cut"}`

Example

`"34124.53cm³"="4499.94s"*"0.833333m/s"*"0.7000mm/rev"*"0.01300m"`

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Volume of Metal removed given Cutting Velocity and Tool Life Solution

STEP 0: Pre-Calculation Summary

Formula Used

Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth
vol = TL*V*f*d'_cut
This formula uses 5 Variables

Variables Used

Metal Removed Volume - (Measured in Cubic Meter) - Metal Removed Volume is the total volume of metal that is removed during machining.
Life of Tool - (Measured in Second) - Life of Tool is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Cutting Velocity in Tool Life - (Measured in Meter per Second) - The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Cutting Depth - (Measured in Meter) - Cutting 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

Life of Tool: 4499.94 Second --> 4499.94 Second No Conversion Required
Cutting Velocity in Tool Life: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Cutting Depth: 0.013 Meter --> 0.013 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

vol = TL*V*f*d'_cut --> 4499.94*0.833333*0.0007*0.013

Evaluating ... ...

vol = 0.034124531350182

STEP 3: Convert Result to Output's Unit

0.034124531350182 Cubic Meter -->34124.531350182 Cubic Centimeter (Check conversion here)

FINAL ANSWER

34124.531350182 ≈ 34124.53 Cubic Centimeter <-- Metal Removed Volume

(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 » Tool Life » Volume of Metal removed given Cutting Velocity and Tool Life

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< 10+ Tool Life Calculators

Tool temperature

Go Tool Temperature = (Constant For Tool Temperature*Specific Cutting Energy Per Unit Cutting Force*Cutting Velocity in Tool Life^0.44*Area of Cut^0.22)/(Thermal Conductivity^0.44*Specific Heat Capacity of Work^0.56)

Reference tool life given distance moved by tool corner

Go Reference Tool Life = Tool Life/((Cutting Speed*Machining Time/Constant For Machining Condition)^(1/Taylors Tool Life Exponent in Tool Life))

Tool life given distance moved by tool corner

Go Tool Life = Reference Tool Life*(Cutting Speed*Machining Time/Constant For Machining Condition)^(1/Taylors Tool Life Exponent in Tool Life)

Reference cutting speed given tool life and distance moved by tool corner

Go Cutting Speed = ((Tool Life/Reference Tool Life)^Taylors Tool Life Exponent in Tool Life)*Constant For Machining Condition/Machining Time

Machining time given tool life and distance moved by tool corner

Go Machining Time = ((Tool Life/Reference Tool Life)^Taylors Tool Life Exponent in Tool Life)*Constant For Machining Condition/Cutting Speed

Distance moved by tool corner given tool life and machining time

Go Constant For Machining Condition = ((Reference Tool Life/Tool Life)^Taylors Tool Life Exponent in Tool Life)*Machining Time*Cutting Speed

Tool Life given Cutting Velocities and Tool Life for Reference Machining Condition

Go Life of Tool = Reference Tool Life in Tool Life*(Reference Cutting Velocity/Cutting Velocity in Tool Life)^(1/Taylor's Tool Life Exponent)

Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed

Go Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life)

Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed

Go Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth)

Volume of Metal removed given Cutting Velocity and Tool Life

Go Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth

Volume of Metal removed given Cutting Velocity and Tool Life Formula

Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth
vol = TL*V*f*d'_cut

Tool Life in Minutes and Tool Life in Volume of Metal Removed

Expressing the tool life in minutes has the advantage in computing machining costs; it is not a good way of measuring a tool life in tool wear studies. Since tool wear is related to the total chip area that passes across the tool face, it is more advantageous to express tool life in terms of the volume of metal removed.

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

Volume of Metal removed given Cutting Velocity and Tool Life calculator uses Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth to calculate the Metal Removed Volume, The Volume of Metal removed given Cutting Velocity and Tool Life is a method to determine the amount of metal removed from the tool due to wear. Metal Removed Volume is denoted by vol symbol.

How to calculate Volume of Metal removed given Cutting Velocity and Tool Life using this online calculator? To use this online calculator for Volume of Metal removed given Cutting Velocity and Tool Life, enter Life of Tool (TL), Cutting Velocity in Tool Life (V), Feed Rate (f) & Cutting Depth (d'_cut) and hit the calculate button. Here is how the Volume of Metal removed given Cutting Velocity and Tool Life calculation can be explained with given input values -> 3.4E+10 = 4499.94*0.833333*0.0007*0.013.

FAQ

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

The Volume of Metal removed given Cutting Velocity and Tool Life is a method to determine the amount of metal removed from the tool due to wear and is represented as vol = TL*V*f*d'_cut or Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth. Life of Tool is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Feed Rate is defined as the tool's distance travelled during one spindle revolution & Cutting 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 Volume of Metal removed given Cutting Velocity and Tool Life?

The Volume of Metal removed given Cutting Velocity and Tool Life is a method to determine the amount of metal removed from the tool due to wear is calculated using Metal Removed Volume = Life of Tool*Cutting Velocity in Tool Life*Feed Rate*Cutting Depth. To calculate Volume of Metal removed given Cutting Velocity and Tool Life, you need Life of Tool (TL), Cutting Velocity in Tool Life (V), Feed Rate (f) & Cutting Depth (d'_cut). With our tool, you need to enter the respective value for Life of Tool, Cutting Velocity in Tool Life, Feed Rate & Cutting Depth 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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