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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)
Zw = 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
Zw = 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 ... ...
Zw = 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)

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

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)
Zw = A0*N*d^3*v^(3/2)*(ρ/(12*HB))^(3/4)

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 Zw 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 Zw = 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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