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

✖Metal Removed Volume is the total volume of metal that is removed during machining.ⓘ Metal Removed Volume [vol]			+10% -10%
✖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 [L_tool]			+10% -10%
✖Feed Rate is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate [f]			+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%

✖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.ⓘ Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed [d'_cut]

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Formula

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

Formula

`"d'"_{"cut"} = "vol"/("L"_{"tool"}*"f"*"V")`

Example

`"0.013m"="34124.99cm³"/("4499.94s"*"0.7000mm/rev"*"0.833333m/s")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
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).

STEP 1: Convert Input(s) to Base Unit

Metal Removed Volume: 34124.99 Cubic Centimeter --> 0.03412499 Cubic Meter (Check conversion here)
Life of Tool: 4499.94 Second --> 4499.94 Second No Conversion Required
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Cutting Velocity in Tool Life: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d'_cut = vol/(L_tool*f*V) --> 0.03412499/(4499.94*0.0007*0.833333)

Evaluating ... ...

d'_cut = 0.0130001747261398

STEP 3: Convert Result to Output's Unit

0.0130001747261398 Meter --> No Conversion Required

FINAL ANSWER

0.0130001747261398 ≈ 0.013 Meter <-- Cutting Depth

(Calculation completed in 00.020 seconds)

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Created by Kumar Siddhant

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

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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

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

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

Effects of Depth of Cut on Tool Life

following are the main effects that can be seen:
1. Changing the depth of the cut doesn't effect tool life greatly.
2. Small depths of cut result in friction when cutting the hardened layer of a workpiece. Thus tool
life is shortened.

How to Calculate Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed?

Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed calculator uses Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life) to calculate the Cutting Depth, The Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed is a method to determine the valid Depth of Cut that should be applied to the tool to obtain the Allowed Volume of Material removed hence the optimum tool life. Cutting Depth is denoted by d'_cut symbol.

How to calculate Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed using this online calculator? To use this online calculator for Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed, enter Metal Removed Volume (vol), Life of Tool (L_tool), Feed Rate (f) & Cutting Velocity in Tool Life (V) and hit the calculate button. Here is how the Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed calculation can be explained with given input values -> 0.013 = 0.03412499/(4499.94*0.0007*0.833333).

FAQ

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

The Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed is a method to determine the valid Depth of Cut that should be applied to the tool to obtain the Allowed Volume of Material removed hence the optimum tool life and is represented as d'_cut = vol/(L_tool*f*V) or Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life). Metal Removed Volume is the total volume of metal that is removed during machining, 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, Feed Rate is defined as the tool's distance travelled during one spindle revolution & The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).

How to calculate Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed?

The Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed is a method to determine the valid Depth of Cut that should be applied to the tool to obtain the Allowed Volume of Material removed hence the optimum tool life is calculated using Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life). To calculate Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed, you need Metal Removed Volume (vol), Life of Tool (L_tool), Feed Rate (f) & Cutting Velocity in Tool Life (V). With our tool, you need to enter the respective value for Metal Removed Volume, Life of Tool, Feed Rate & Cutting Velocity in Tool Life 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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