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

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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. Check FAQs

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

d'_cut - Cutting Depth?vol - Metal Removed Volume?TL - Life of Tool?f - Feed Rate?V - Cutting Velocity in Tool Life?

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

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

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

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

0.013 = \frac{34124.99}{4499.94 \cdot 0.7 \cdot 0.8333}

0.013m = \frac{34124.99cm³}{4499.94s \cdot 0.7mm/rev \cdot 0.8333m/s}

0.013 = \frac{34124.99}{4499.94 \cdot 0.7 \cdot 0.8333}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d' cut = \frac{34124.99cm³}{4499.94s \cdot 0.7mm/rev \cdot 0.8333m/s}

Next Step Convert Units

∴

d' cut = \frac{0.0341m³}{4499.94s \cdot 0.0007m/rev \cdot 0.8333m/s}

Next Step Prepare to Evaluate

∴

d' cut = \frac{0.0341}{4499.94 \cdot 0.0007 \cdot 0.8333}

Next Step Evaluate

∴

d' cut = 0.0130001747261398m

LAST Step Rounding Answer

∴

d' cut = 0.013m

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

Variables

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.

Formulas to find Cutting Depth

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.

Formulas to find Metal Removed Volume

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.

Formulas to find Life of Tool

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.

Formulas to find Feed Rate

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.

Formulas to find Cutting Velocity in Tool Life

Other formulas in Tool Life category

Go Volume of Metal removed given Cutting Velocity and Tool Life

vol = TL \cdot V \cdot f \cdot d' cut

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

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

Go Tool temperature

θ = \frac{C 0 \cdot U s \cdot V^{0.44} \cdot A^{0.22}}{k^{0.44} \cdot c^{0.56}}

Go Tool life given distance moved by tool corner

T = T ref \cdot {(V c \cdot \frac{t m}{K})}^{\frac{1}{z}}

How to Evaluate 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 evaluator uses Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life) to evaluate 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 evaluate Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed using this online evaluator? To use this online evaluator for Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed, enter Metal Removed Volume (vol), Life of Tool (TL), Feed Rate (f) & Cutting Velocity in Tool Life (V) and hit the calculate button.

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

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

The formula of Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed is expressed as Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life). Here is an example- 0.013 = 0.03412499/(4499.94*0.0007*0.833333).

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

With Metal Removed Volume (vol), Life of Tool (TL), Feed Rate (f) & Cutting Velocity in Tool Life (V) we can find Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed using the formula - Cutting Depth = Metal Removed Volume/(Life of Tool*Feed Rate*Cutting Velocity in Tool Life).

Can the Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed be negative?

No, the Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth of Cut given Cutting Velocity, Tool Life, and Volume of Metal Removed can be measured.

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

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

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

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

Other formulas in Tool Life category

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

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

Variable Name