Constant Dependent of Material Calculator

✖Cutting Rate is the rate at which cutting takes place in length per time.ⓘ Cutting Rate [V_c]			+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 measure of the distance between opposite surfaces of an object or material.ⓘ Thickness [t]			+10% -10%
✖Laser Energy Output in cut rate is the output energy of the laser used in LBM.ⓘ Laser Energy Output in Cut Rate [P_out]			+10% -10%

✖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.ⓘ Constant Dependent of Material [A₀]

⎘ Copy

👎

Formula

✖

Constant Dependent of Material

Formula

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

Example

`"0.408002"="10.10mm/min"*("9.999998W/mm³"*"2.099999mm²"*"1.199999m")/"10.397W"`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Constant Dependent of Material Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Cutting Rate - (Measured in Meter per Second) - Cutting Rate is the rate at which cutting takes place in length per time.
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 measure of the distance between opposite surfaces of an object or material.
Laser Energy Output in Cut Rate - (Measured in Watt) - Laser Energy Output in cut rate is the output energy of the laser used in LBM.

STEP 1: Convert Input(s) to Base Unit

Cutting Rate: 10.1 Millimeter per Minute --> 0.000168333333333333 Meter per Second (Check conversion here)
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
Laser Energy Output in Cut Rate: 10.397 Watt --> 10.397 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₀ = V_c*(E*A_beam*t)/P_out --> 0.000168333333333333*(9999998000*2.099999E-06*1.199999)/10.397

Evaluating ... ...

A₀ = 0.408001692469249

STEP 3: Convert Result to Output's Unit

0.408001692469249 --> No Conversion Required

FINAL ANSWER

0.408001692469249 ≈ 0.408002 <-- Empirical Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Unconventional machining processes » Laser Beam Machining (LBM) » Cutting Rate in LBM » Constant Dependent of Material

Credits

Created by Rajat Vishwakarma

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

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 6 Cutting Rate in LBM Calculators

Area of Laser Beam at Focal Point

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

Vaporisation Energy of Material

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

Thickness of Material

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

Cutting Rate

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

Laser Power Incident on Surface

Go Laser Energy Output in 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 Output in Cut Rate

Constant Dependent of Material Formula

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

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 Constant Dependent of Material?

Constant Dependent of Material calculator uses Empirical Constant = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Laser Energy Output in Cut Rate to calculate the Empirical Constant, The Constant dependent of material formula is defined as the constant dependent on the material and conversion efficiency of laser energy into the material. Empirical Constant is denoted by A₀ symbol.

How to calculate Constant Dependent of Material using this online calculator? To use this online calculator for Constant Dependent of Material, enter Cutting Rate (V_c), Vaporisation Energy of Material (E), Laser Beam Area at Focal Point (A_beam), Thickness (t) & Laser Energy Output in Cut Rate (P_out) and hit the calculate button. Here is how the Constant Dependent of Material calculation can be explained with given input values -> 0.408277 = 0.000168333333333333*(9999998000*2.099999E-06*1.199999)/10.397.

FAQ

What is Constant Dependent of Material?

The Constant dependent of material formula is defined as the constant dependent on the material and conversion efficiency of laser energy into the material and is represented as A₀ = V_c*(E*A_beam*t)/P_out or Empirical Constant = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Laser Energy Output in Cut Rate. Cutting Rate is the rate at which cutting takes place in length per time, 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 measure of the distance between opposite surfaces of an object or material & Laser Energy Output in cut rate is the output energy of the laser used in LBM.

How to calculate Constant Dependent of Material?

The Constant dependent of material formula is defined as the constant dependent on the material and conversion efficiency of laser energy into the material is calculated using Empirical Constant = Cutting Rate*(Vaporisation Energy of Material*Laser Beam Area at Focal Point*Thickness)/Laser Energy Output in Cut Rate. To calculate Constant Dependent of Material, you need Cutting Rate (V_c), Vaporisation Energy of Material (E), Laser Beam Area at Focal Point (A_beam), Thickness (t) & Laser Energy Output in Cut Rate (P_out). With our tool, you need to enter the respective value for Cutting Rate, Vaporisation Energy of Material, Laser Beam Area at Focal Point, Thickness & Laser Energy Output in Cut Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search