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

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Feed Rate is defined as the tool's distance travelled during one spindle revolution. Check FAQs
f=volTLVd'cut
f - Feed Rate?vol - Metal Removed Volume?TL - Life of Tool?V - Cutting Velocity in Tool Life?d'cut - Cutting Depth?

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

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With units
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Here is how the Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed equation looks like with Values.

Here is how the Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed equation looks like with Units.

Here is how the Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed equation looks like.

0.7Edit=34124.99Edit4499.94Edit0.8333Edit0.013Edit
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Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed Solution

Follow our step by step solution on how to calculate Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed?

FIRST Step Consider the formula
f=volTLVd'cut
Next Step Substitute values of Variables
f=34124.99cm³4499.94s0.8333m/s0.013m
Next Step Convert Units
f=0.03414499.94s0.8333m/s0.013m
Next Step Prepare to Evaluate
f=0.03414499.940.83330.013
Next Step Evaluate
f=0.000700009408330603m/rev
Next Step Convert to Output's Unit
f=0.700009408330603mm/rev
LAST Step Rounding Answer
f=0.7mm/rev

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

Variables
Feed Rate
Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Symbol: f
Measurement: FeedUnit: mm/rev
Note: Value should be greater than 0.
Metal Removed Volume
Metal Removed Volume is the total volume of metal that is removed during machining.
Symbol: vol
Measurement: VolumeUnit: cm³
Note: Value should be greater than 0.
Life of Tool
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.
Symbol: TL
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Cutting Velocity in Tool Life
The Cutting Velocity in Tool Life is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Symbol: V
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Cutting Depth
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.
Symbol: d'cut
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other formulas in Tool Life category

​Go Volume of Metal removed given Cutting Velocity and Tool Life
vol=TLVfd'cut
​Go Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed
d'cut=volTLfV
​Go Tool temperature
θ=C0UsV0.44A0.22k0.44c0.56
​Go Tool life given distance moved by tool corner
T=Tref(VctmK)1z

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

Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed evaluator uses Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth) to evaluate 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 evaluate Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed?
The formula of Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed is expressed as Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth). Here is an example- 700.0094 = 0.03412499/(4499.94*0.833333*0.013).
How to calculate Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed?
With Metal Removed Volume (vol), Life of Tool (TL), Cutting Velocity in Tool Life (V) & Cutting Depth (d'cut) we can find Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed using the formula - Feed Rate = Metal Removed Volume/(Life of Tool*Cutting Velocity in Tool Life*Cutting Depth).
Can the Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed be negative?
No, the Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed, measured in Feed cannot be negative.
Which unit is used to measure Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed?
Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed is usually measured using the Millimeter Per Revolution[mm/rev] for Feed. Meter Per Revolution[mm/rev] are the few other units in which Feed given Cutting Velocity, Tool Life, and Volume of Metal Removed can be measured.
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