Depth of Cut given Cutting Velocity, 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%
✖The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).ⓘ Cutting Velocity [V]			+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 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"} = "L"/("T"*"f"*"V")`

Example

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

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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

Depth of Cut = Volume of Metal Removed/(Tool Life*Feed Rate*Cutting Velocity)
d_cut = L/(T*f*V)
This formula uses 5 Variables

Variables Used

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.
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.
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).

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_cut = L/(T*f*V) --> 0.034125/(4500*0.0007*0.833333333333333)

Evaluating ... ...

d_cut = 0.013

STEP 3: Convert Result to Output's Unit

0.013 Meter -->13 Millimeter (Check conversion here)

FINAL ANSWER

13 Millimeter <-- Depth of Cut

(Calculation completed in 00.004 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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< 10+ Tool Life Calculators

Tool temperature

Go Tool Temperature = (Constant for Tool Temperature*Specific Cutting Energy per unit Cutting Force*Cutting Velocity^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/Taylor's Tool Life Exponent))

Tool life given distance moved by tool corner

Go Tool Life = Reference Tool Life*(Cutting Speed*Machining Time/Constant For Machining Condition)^(1/Taylor's Tool Life Exponent)

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

Go Cutting Speed = ((Tool Life/Reference Tool Life)^Taylor's Tool Life Exponent)*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)^Taylor's Tool Life Exponent)*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)^Taylor's Tool Life Exponent)*Machining Time*Cutting Speed

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

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

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

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

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

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

Volume of Metal removed given Cutting Velocity and Tool Life

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

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

Depth of Cut = Volume of Metal Removed/(Tool Life*Feed Rate*Cutting Velocity)
d_cut = L/(T*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 Depth of Cut = Volume of Metal Removed/(Tool Life*Feed Rate*Cutting Velocity) to calculate the Depth of Cut, 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. Depth of Cut 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 Volume of Metal Removed (L), Tool Life (T), Feed Rate (f) & Cutting Velocity (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 -> 13000 = 0.034125/(4500*0.0007*0.833333333333333).

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 = L/(T*f*V) or Depth of Cut = Volume of Metal Removed/(Tool Life*Feed Rate*Cutting Velocity). 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 & The Cutting Velocity 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 Depth of Cut = Volume of Metal Removed/(Tool Life*Feed Rate*Cutting Velocity). To calculate Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed, you need Volume of Metal Removed (L), Tool Life (T), Feed Rate (f) & Cutting Velocity (V). With our tool, you need to enter the respective value for Volume of Metal Removed, Tool Life, Feed Rate & Cutting Velocity 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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