Cutting Rate Calculator

✖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.ⓘ Empirical Constant [A₀]			+10% -10%
✖Laser Energy during Cut Rate is the energy released from the laser used in LBM.ⓘ Laser Energy during Cut Rate [P_out]			+10% -10%
✖Vaporisation Energy of Material is the energy required to turn the material into vapor.ⓘ Vaporisation Energy of Material [E]			+10% -10%
✖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.ⓘ Laser Beam Area at Focal Point [A_beam]			+10% -10%
✖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.ⓘ Thickness [t]			+10% -10%

✖Cutting Rate is the rate at which cutting takes place in length per time.ⓘ Cutting Rate [V_c]

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Formula

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Cutting Rate

Formula

`"V"_{"c"} = ("A"_{"0"}*"P"_{"out"})/("E"*"A"_{"beam"}*"t")`

Example

`"10.09996mm/min"=("0.408"*"10.397W")/("9.999998W/mm³"*"2.099999mm²"*"1.199999m")`

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Download Laser Beam Machining (LBM) Formulas PDF PDF Image

Cutting Rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)
V_c = (A₀*P_out)/(E*A_beam*t)
This formula uses 6 Variables

Variables Used

Cutting Rate - (Measured in Meter per Second) - Cutting Rate is the rate at which cutting takes place in length per time.
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.
Laser Energy during Cut Rate - (Measured in Watt) - Laser Energy during Cut Rate is the energy released from the laser used in LBM.
Vaporisation Energy of Material - (Measured in Watt Per Cubic Meter) - Vaporisation Energy of Material is the energy required to turn the material into vapor.
Laser Beam Area at Focal Point - (Measured in Square Meter) - 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.
Thickness - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Empirical Constant: 0.408 --> No Conversion Required
Laser Energy during Cut Rate: 10.397 Watt --> 10.397 Watt No Conversion Required
Vaporisation Energy of Material: 9.999998 Watt Per Cubic Millimeter --> 9999998000 Watt Per Cubic Meter (Check conversion here)
Laser Beam Area at Focal Point: 2.099999 Square Millimeter --> 2.099999E-06 Square Meter (Check conversion here)
Thickness: 1.199999 Meter --> 1.199999 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = (A₀*P_out)/(E*A_beam*t) --> (0.408*10.397)/(9999998000*2.099999E-06*1.199999)

Evaluating ... ...

V_c = 0.000168332635054391

STEP 3: Convert Result to Output's Unit

0.000168332635054391 Meter per Second -->10.0999581032634 Millimeter per Minute (Check conversion here)

FINAL ANSWER

10.0999581032634 ≈ 10.09996 Millimeter per Minute <-- Cutting Rate

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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< 6 Cutting Rate in LBM Calculators

Area of Laser Beam at Focal Point

Go Laser Beam Area at Focal Point = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Cutting Rate*Thickness)

Vaporisation Energy of Material

Go Vaporisation Energy of Material = (Empirical Constant*Laser Energy during Cut Rate)/(Cutting Rate*Laser Beam Area at Focal Point*Thickness)

Thickness of Material

Go Thickness = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Cutting Rate)

Cutting Rate

Go Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)

Laser Power Incident on Surface

Go Laser Energy during Cut Rate = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Empirical Constant

Constant Dependent of Material

Go Empirical Constant = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Laser Energy during Cut Rate

Cutting Rate Formula

Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)
V_c = (A₀*P_out)/(E*A_beam*t)

How does Laser Beam Machining work ?

Laser (light amplification by stimulated emission of radiation) beam machining (LBM) utilises the energy from the coherent light beams called laser (light amplification by stimulated emission of radiation). The basic principle utilised in LBM is that under proper conditions light energy of a particular frequency is used to stimulate the electrons in an atom to emit additional light with exactly the same characteristics of the original light source.

How to Calculate Cutting Rate?

Cutting Rate calculator uses Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness) to calculate 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 calculate Cutting Rate using this online calculator? To use this online calculator 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. Here is how the Cutting Rate calculation can be explained with given input values -> 605997.5 = (0.408*10.397)/(9999998000*2.099999E-06*1.199999).

FAQ

What is Cutting Rate?

The Cutting Rate is defined as the cutting velocity with which cutting takes place in length per unit time during LBM and is represented as V_c = (A₀*P_out)/(E*A_beam*t) or Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness). 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, Laser Energy during Cut Rate is the energy released from the laser used in LBM, Vaporisation Energy of Material is the energy required to turn the material into vapor, 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 & 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.

How to calculate Cutting Rate?

The Cutting Rate is defined as the cutting velocity with which cutting takes place in length per unit time during LBM is calculated using Cutting Rate = (Empirical Constant*Laser Energy during Cut Rate)/(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness). To calculate Cutting Rate, you need 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). With our tool, you need to enter the respective value for Empirical Constant, Laser Energy during Cut Rate, Vaporisation Energy of Material, Laser Beam Area at Focal Point & Thickness 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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