Feed 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%
✖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 [d_cut]			+10% -10%

✖Feed Rate is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed [f]

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Formula

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

Formula

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

Example

`"0.7mm/rev"="34125cm³"/("75min"*"50m/min"*"13mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Feed Rate - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
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.
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).
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)
Cutting Velocity: 50 Meter per Minute --> 0.833333333333333 Meter per Second (Check conversion here)
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = L/(T*V*d_cut) --> 0.034125/(4500*0.833333333333333*0.013)

Evaluating ... ...

f = 0.0007

STEP 3: Convert Result to Output's Unit

0.0007 Meter Per Revolution -->0.7 Millimeter Per Revolution (Check conversion here)

FINAL ANSWER

0.7 Millimeter Per Revolution <-- Feed Rate

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

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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

Parul Keshav has verified this Calculator and 400+ more calculators!

< 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

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

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

How Tool Life Depends on Feed Rate?

Tool Life varies with feed rate. At a low feed rate, the area of the chip that passes across the tool surfaces will be relatively large for a given volume cut, and relatively small for a high feed rate.
From this, it seems that tool life should increase with the increase in feed rate, but as the cutting forces on tools also increase with the increase in feed rate, it leads to decreased tool life. Thus these two opposing influences of the feed rate upon tool give rise to an optimum rate of feed which is about 0.25 to 0.50 mm/rev.

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

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

How to calculate Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed using this online calculator? To use this online calculator for Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed, enter Volume of Metal Removed (L), Tool Life (T), Cutting Velocity (V) & Depth of Cut (d_cut) and hit the calculate button. Here is how the Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed calculation can be explained with given input values -> 700.0011 = 0.034125/(4500*0.833333333333333*0.013).

FAQ

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

The Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed is a method to determine the valid feed rate that should be applied to the tool so as to obtain the Allowed Volume of Material removed hence the optimum tool life and is represented as f = L/(T*V*d_cut) or Feed Rate = Volume of Metal Removed/(Tool Life*Cutting Velocity*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, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & 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 Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed?

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