Feed 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 [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%
✖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%

✖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 = \frac{vol}{TL \cdot V \cdot d' cut}

Example

0.700009 mm/rev = \frac{34124.99 cm³}{4499.94 s \cdot 0.833333 m/s \cdot 0.01300 m}

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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 = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth)
f = vol/(TL*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.
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).
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

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
Cutting Velocity in Tool Life: 0.833333 Meter per Second --> 0.833333 Meter per Second No Conversion Required
Cutting Depth: 0.013 Meter --> 0.013 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = vol/(TL*V*d'_cut) --> 0.03412499/(4499.94*0.833333*0.013)

Evaluating ... ...

f = 0.000700009408330603

STEP 3: Convert Result to Output's Unit

0.000700009408330603 Meter Per Revolution -->0.700009408330603 Millimeter Per Revolution (Check conversion here)

FINAL ANSWER

0.700009408330603 ≈ 0.700009 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

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National Institute of Technology (NIT), Srinagar

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< 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)

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

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

Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth)
f = vol/(TL*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 = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth) 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 Metal Removed Volume (vol), Life of Tool (TL), Cutting Velocity in Tool Life (V) & Cutting Depth (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 -> 700.0094 = 0.03412499/(4499.94*0.833333*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 = vol/(TL*V*d'_cut) or Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth). 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, The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating) & 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 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 = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth). To calculate Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed, you need Metal Removed Volume (vol), Life of Tool (TL), Cutting Velocity in Tool Life (V) & Cutting Depth (d'_cut). With our tool, you need to enter the respective value for Metal Removed Volume, Life of Tool, Cutting Velocity in Tool Life & 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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