Material removal rate Calculator

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Unconventional machining processes	Abrasive Jet Machining (AJM) ↺

✖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%
✖No. of abrasive particles impacting per unit timeⓘ No. of abrasive particles impacting per unit time [N]			+10% -10%
✖Mean diameter of abrasive particles is the mean calculated from sampling method.ⓘ Mean diameter of abrasive particles [d]			+10% -10%
✖Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object).ⓘ Velocity [v]			+10% -10%
✖The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.ⓘ Brinell Hardness [HB]			+10% -10%

✖Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.ⓘ Material removal rate [Z_w]

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Credits

Rajat Vishwakarma

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

Rajat Vishwakarma has created this Calculator and 300+ more calculators!

Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

Material removal rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

metal_removal_rate = Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)
Z_w = A₀*N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4)
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.
No. of abrasive particles impacting per unit time- No. of abrasive particles impacting per unit time
Mean diameter of abrasive particles - Mean diameter of abrasive particles is the mean calculated from sampling method. (Measured in Millimeter)
Velocity - Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object). (Measured in Meter per Second)
Density - The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. (Measured in Kilogram per Meter³)
Brinell Hardness - Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested. (Measured in Kilogram-Force per Square Millimeter)

STEP 1: Convert Input(s) to Base Unit

Empirical constant: 100 --> No Conversion Required
No. of abrasive particles impacting per unit time: 5 --> No Conversion Required
Mean diameter of abrasive particles: 1 Millimeter --> 0.001 Meter (Check conversion here)
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Brinell Hardness: 200 Kilogram-Force per Square Millimeter --> 1961329999.99986 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_w = A₀*N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4) --> 100*5*0.001^3*60^(3/2)*(997/(12*1961329999.99986))^(3/4)

Evaluating ... ...

Z_w = 6.86150383923904E-10

STEP 3: Convert Result to Output's Unit

6.86150383923904E-10 Meter³ per Second --> No Conversion Required

FINAL ANSWER

6.86150383923904E-10 Meter³ per Second <-- Material removal rate

(Calculation completed in 00.047 seconds)

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< 11 Other formulas that you can solve using the same Inputs

Stanton Number (using basic fluid properties)

stanton_number = External convection heat transfer coefficient/(Specific Heat Capacity*Fluid Velocity*Density) Go

Reynolds Number for Non-Circular Tubes

reynolds_number = Density*Fluid Velocity*Characteristic Length/Dynamic viscosity Go

Reynolds Number for Circular Tubes

reynolds_number = Density*Fluid Velocity*Diameter/Dynamic viscosity Go

Archimedes Principle

archimedes_principle = Density*Acceleration Due To Gravity*Velocity Go

Pressure when density and height are given

pressure = Density*Acceleration Due To Gravity*Height Go

Molar Volume

molar_volume = (Atomic Weight*Molar Mass)/Density Go

Centripetal Force

centripetal_force = (Mass*(Velocity)^2)/Radius Go

Air Resistance Force

air_resistance = Air Constant*Velocity^2 Go

Number of atomic sites

number_atomic_sites = Density/Atomic Mass Go

Kinetic Energy

kinetic_energy = (Mass*Velocity^2)/2 Go

Tensile strength from Brinell hardness

tensile_strength = (3.45/9.8067)*Brinell Hardness Go

< 11 Other formulas that calculate the same Output

Average Material Removal Rate when Depth of Cut is Given for Boring Operation

metal_removal_rate = pi*Feed rate*Depth Of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter-Depth Of Cut) Go

Average Material Removal Rate when Depth of Cut is Given

metal_removal_rate = pi*Feed rate*Depth Of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth Of Cut) Go

Material Removal Rate during Drilling Operation when Enlarging an Existing Hole

metal_removal_rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4 Go

Material Removal Rate during Drilling Operation when Feed is Given

metal_removal_rate = pi*(Machine Surface Diameter^2)*Feed rate*Rotational frequency/4 Go

Material Removal Rate in Cylindrical and Internal Grinder

metal_removal_rate = pi*Feed rate*Work Surface Diameter*Traverse Speed Go

Material Removal Rate in the Plunge-Grinder

metal_removal_rate = pi*Feed rate*Work Surface Diameter*Feed Speed Go

metal removal rate when specific cutting energy is given

metal_removal_rate = Rate of Energy Consumption during Machining(power)/specific cutting energy in machining Go

Metal removal rate during Grinding

metal_removal_rate = Feed*width of grinding path*surface speed of workpiece Go

Material Removal Rate during Drilling Operation

metal_removal_rate = pi*(Machine Surface Diameter^2)*Feed Speed/4 Go

Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder

metal_removal_rate = Feed rate*depth of cut*Traverse Speed Go

Average Material Removal Rate using Uncut Chip Cross-Section Area

metal_removal_rate = cross sectional area of the uncut chip*Mean Cutting Speed Go

Material removal rate Formula

What is Abrasive Jet Machining ?

Abrasive Jet Machining is a process that uses a very high speed (supersonic about 2.5 Mach number) water jet mixed with abrasives to cut any type of material without, in any way, affecting the work material or the environment. The AJM machines aim a highly focused, supersonic stream of water at the material such that it can cut composites smoothly by eroding them without generating any heat. Thus the AJM process eliminates all the thermal and mechanical distortion caused by conventional cutting methods. Also the water jet nozzle can be directed at any angle to the material thereby allowing for angled cuts. For cutting soft materials such as textiles and food stuffs, pure water without any abrasives is used.

How to Calculate Material removal rate?

Material removal rate calculator uses metal_removal_rate = Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4) to calculate the Material removal rate, The Material removal rate formula is defined as the volume of the workpiece material removed per min/sec during AJM. Material removal rate and is denoted by Z_w symbol.

How to calculate Material removal rate using this online calculator? To use this online calculator for Material removal rate, enter Empirical constant (A₀), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d), Velocity (v), Density (ρ) and Brinell Hardness (HB) and hit the calculate button. Here is how the Material removal rate calculation can be explained with given input values -> 6.862E-10 = 100*5*0.001^3*60^(3/2)*(997/(12*1961329999.99986))^(3/4).

FAQ

What is Material removal rate?

The Material removal rate formula is defined as the volume of the workpiece material removed per min/sec during AJM and is represented as Z_w = A₀*N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4) or metal_removal_rate = Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4). 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, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles is the mean calculated from sampling method, Velocity, in physics, is a vector quantity (it has both magnitude and direction), and is the time rate of change of position (of an object), The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object and Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.

How to calculate Material removal rate?

The Material removal rate formula is defined as the volume of the workpiece material removed per min/sec during AJM is calculated using metal_removal_rate = Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4). To calculate Material removal rate, you need Empirical constant (A₀), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d), Velocity (v), Density (ρ) and Brinell Hardness (HB). With our tool, you need to enter the respective value for Empirical constant, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles, Velocity, Density and Brinell Hardness and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Material removal rate?

In this formula, Material removal rate uses Empirical constant, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles, Velocity, Density and Brinell Hardness. We can use 11 other way(s) to calculate the same, which is/are as follows -

metal_removal_rate = Rate of Energy Consumption during Machining(power)/specific cutting energy in machining
metal_removal_rate = cross sectional area of the uncut chip*Mean Cutting Speed
metal_removal_rate = pi*Feed rate*Depth Of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth Of Cut)
metal_removal_rate = pi*Feed rate*Depth Of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter-Depth Of Cut)
metal_removal_rate = pi*(Machine Surface Diameter^2)*Feed Speed/4
metal_removal_rate = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4
metal_removal_rate = pi*(Machine Surface Diameter^2)*Feed rate*Rotational frequency/4
metal_removal_rate = Feed rate*depth of cut*Traverse Speed
metal_removal_rate = pi*Feed rate*Work Surface Diameter*Traverse Speed
metal_removal_rate = pi*Feed rate*Work Surface Diameter*Feed Speed
metal_removal_rate = Feed*width of grinding path*surface speed of workpiece

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