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Cutting Rate Formula

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Cutting Rate is the rate at which cutting takes place in length per time. Check FAQs

V c = \frac{A 0 \cdot P out}{E \cdot A beam \cdot t}

V_c - Cutting Rate?A₀ - Empirical Constant?P_out - Laser Energy during Cut Rate?E - Vaporisation Energy of Material?A_beam - Laser Beam Area at Focal Point?t - Thickness?

Cutting Rate Example

With values

With units

Only example

Here is how the Cutting Rate equation looks like with Values.

Here is how the Cutting Rate equation looks like with Units.

Here is how the Cutting Rate equation looks like.

10.1 = \frac{0.408 \cdot 10.397}{10 \cdot 2.1 \cdot 1.2}

10.1mm/min = \frac{0.408 \cdot 10.397W}{10W/mm³ \cdot 2.1mm² \cdot 1.2m}

10.1 = \frac{0.408 \cdot 10.397}{10 \cdot 2.1 \cdot 1.2}

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Cutting Rate Solution

Follow our step by step solution on how to calculate Cutting Rate?

FIRST Step Consider the formula

V c = \frac{A 0 \cdot P out}{E \cdot A beam \cdot t}

Next Step Substitute values of Variables

∴

V c = \frac{0.408 \cdot 10.397W}{10W/mm³ \cdot 2.1mm² \cdot 1.2m}

Next Step Convert Units

∴

V c = \frac{0.408 \cdot 10.397W}{1E+10W/m³ \cdot 2.1E-6m² \cdot 1.2m}

Next Step Prepare to Evaluate

∴

V c = \frac{0.408 \cdot 10.397}{1E+10 \cdot 2.1E-6 \cdot 1.2}

Next Step Evaluate

∴

V c = 0.000168332635054391m/s

Next Step Convert to Output's Unit

∴

V c = 10.0999581032634mm/min

LAST Step Rounding Answer

∴

V c = 10.1mm/min

Cutting Rate Formula Elements

Variables

Cutting Rate

Cutting Rate is the rate at which cutting takes place in length per time.

Symbol: V_c

Measurement: SpeedUnit: mm/min

Note: Value should be greater than 0.

Formulas to find Cutting Rate

Empirical Constant

The Empirical Constant is a self-determined constant whose value is accessible from table of such constants. This constant is used to calculate the intrinsic carrier concentration.

Symbol: A₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Empirical Constant

Laser Energy during Cut Rate

Laser Energy during Cut Rate is the energy released from the laser used in LBM.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value should be greater than 0.

Formulas to find Laser Energy during Cut Rate

Vaporisation Energy of Material

Vaporisation Energy of Material is the energy required to turn the material into vapor.

Symbol: E

Measurement: Power DensityUnit: W/mm³

Note: Value should be greater than 0.

Formulas to find Vaporisation Energy of Material

Laser Beam Area at Focal Point

Laser Beam Area at Focal Point refers to the cross-sectional area of a laser beam at the focal point of a focusing lens or mirror.

Symbol: A_beam

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Laser Beam Area at Focal Point

Thickness

Thickness refers to the measurement of the distance through an object or material from one surface to its opposite surface. It indicates how thick the object or material is.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness

Other formulas in Cutting Rate in LBM category

Go Constant Dependent of Material

A 0 = V c \cdot \frac{E \cdot A beam \cdot t}{P out}

Go Laser Power Incident on Surface

P out = V c \cdot \frac{E \cdot A beam \cdot t}{A 0}

Go Vaporisation Energy of Material

E = \frac{A 0 \cdot P out}{V c \cdot A beam \cdot t}

Go Area of Laser Beam at Focal Point

A beam = \frac{A 0 \cdot P out}{E \cdot V c \cdot t}

How to Evaluate Cutting Rate?

Cutting Rate evaluator uses Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness) to evaluate the Cutting Rate, The Cutting Rate is defined as the cutting velocity with which cutting takes place in length per unit time during LBM. Cutting Rate is denoted by V_c symbol.

How to evaluate Cutting Rate using this online evaluator? To use this online evaluator for Cutting Rate, enter Empirical Constant (A₀), Laser Energy during Cut Rate (P_out), Vaporisation Energy of Material (E), Laser Beam Area at Focal Point (A_beam) & Thickness (t) and hit the calculate button.

FAQs on Cutting Rate

What is the formula to find Cutting Rate?

The formula of Cutting Rate is expressed as Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness). Here is an example- 605997.5 = (0.408*10.397)/(9999998000*2.099999E-06*1.199999).

How to calculate Cutting Rate?

With Empirical Constant (A₀), Laser Energy during Cut Rate (P_out), Vaporisation Energy of Material (E), Laser Beam Area at Focal Point (A_beam) & Thickness (t) we can find Cutting Rate using the formula - Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness).

Can the Cutting Rate be negative?

No, the Cutting Rate, measured in Speed cannot be negative.

Which unit is used to measure Cutting Rate?

Cutting Rate is usually measured using the Millimeter per Minute[mm/min] for Speed. Meter per Second[mm/min], Meter per Minute[mm/min], Meter per Hour[mm/min] are the few other units in which Cutting Rate can be measured.

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Cutting Rate Formula

Cutting Rate Example

Cutting Rate Solution

Cutting Rate Formula Elements

Other formulas in Cutting Rate in LBM category

How to Evaluate Cutting Rate?

FAQs on Cutting Rate

Variable Name