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Density of abrasive particles Solution

STEP 0: Pre-Calculation Summary
Formula Used
density = 12*Brinell Hardness*(Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)))^(4/3)
ρ = 12*HB*(Zw/(A0*N*d^3*v^(3/2)))^(4/3)
This formula uses 6 Variables
Variables Used
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)
Material removal rate - 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. (Measured in Meter³ per Second)
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)
STEP 1: Convert Input(s) to Base Unit
Brinell Hardness: 200 Kilogram-Force per Square Millimeter --> 1961329999.99986 Pascal (Check conversion here)
Material removal rate: 1 Meter³ per Second --> 1 Meter³ per Second No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = 12*HB*(Zw/(A0*N*d^3*v^(3/2)))^(4/3) --> 12*1961329999.99986*(1/(100*5*0.001^3*60^(3/2)))^(4/3)
Evaluating ... ...
ρ = 1.64741396852676E+15
STEP 3: Convert Result to Output's Unit
1.64741396852676E+15 Kilogram per Meter³ --> No Conversion Required
FINAL ANSWER
1.64741396852676E+15 Kilogram per Meter³ <-- Density
(Calculation completed in 00.047 seconds)

11 Other formulas that you can solve using the same Inputs

Intrinsic carrier concentration
intrinsic_carrier_concentration = sqrt(Empirical constant*(Temperature)^3*e^-(temperature dependence of energy bandgap/(2*[BoltZ]*Temperature))) Go
Stokes Force
stokes_force = 6*pi*Radius*Dynamic viscosity*Velocity Go
Archimedes Principle
archimedes_principle = Density*Acceleration Due To Gravity*Velocity Go
Centripetal Force
centripetal_force = (Mass*(Velocity)^2)/Radius Go
Air Resistance Force
air_resistance = Air Constant*Velocity^2 Go
Wavelength Of The Wave(Using Velocity)
wavelength_wave = Velocity*Time Period Of Progressive Wave Go
Frequency Of Wavelength ( Using Velocity )
frequency = Velocity/Wavelength Of A Wave Go
Kinetic Energy
kinetic_energy = (Mass*Velocity^2)/2 Go
Time Period (Using Velocity )
time_period = Wavelength/Velocity Go
Wavelength Of The Wave(Using Frequency)
wavelength = Velocity/frequency Go
Tensile strength from Brinell hardness
tensile_strength = (3.45/9.8067)*Brinell Hardness Go

11 Other formulas that calculate the same Output

Density of the material given convective heat and mass transfer coefficient
density = (Heat transfer coefficient)/(Convective mass transfer coefficient*Specific heat*(Lewis Number^0.67)) Go
Density of cubic crystals
density = Effective number of atoms in unit cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3) Go
Density calculation using Chapman–Rubesin factor
density = Chapman–Rubesin factor*Static density*static viscosity/(Kinematic viscosity) Go
Density equation using enthalpy and pressure
density = (Specific Heat Ratio/(Specific Heat Ratio-1))*(Pressure/Enthalpy) Go
Density of Unit Cell
density = Number of Atoms*Mass of Atom/((Edge length^3)*[Avaga-no]) Go
Density given local friction coefficient
density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free stream velocity^2)) Go
Density of BCC lattice
density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no]) Go
Density Of FCC lattice
density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]) Go
Density of Simple Cubic Unit Cell
density = Mass of Atom/(Volume of Unit Cell*[Avaga-no]) Go
Density
density = Mass/Volume Go
Density of substance when specific gravity is given
density = specific gravity of the material*1000 Go

Density of abrasive particles Formula

density = 12*Brinell Hardness*(Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)))^(4/3)
ρ = 12*HB*(Zw/(A0*N*d^3*v^(3/2)))^(4/3)

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 Density of abrasive particles?

Density of abrasive particles calculator uses density = 12*Brinell Hardness*(Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)))^(4/3) to calculate the Density, The Density of abrasive particles formula is defined as the ratio of mass per unit volume of the abrasive particles material used in AJM. Density and is denoted by ρ symbol.

How to calculate Density of abrasive particles using this online calculator? To use this online calculator for Density of abrasive particles, enter Brinell Hardness (HB), Material removal rate (Zw), Empirical constant (A0), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d) and Velocity (v) and hit the calculate button. Here is how the Density of abrasive particles calculation can be explained with given input values -> 1.647E+15 = 12*1961329999.99986*(1/(100*5*0.001^3*60^(3/2)))^(4/3).

FAQ

What is Density of abrasive particles?
The Density of abrasive particles formula is defined as the ratio of mass per unit volume of the abrasive particles material used in AJM and is represented as ρ = 12*HB*(Zw/(A0*N*d^3*v^(3/2)))^(4/3) or density = 12*Brinell Hardness*(Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)))^(4/3). Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested, 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, 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 and 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).
How to calculate Density of abrasive particles?
The Density of abrasive particles formula is defined as the ratio of mass per unit volume of the abrasive particles material used in AJM is calculated using density = 12*Brinell Hardness*(Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*Velocity^(3/2)))^(4/3). To calculate Density of abrasive particles, you need Brinell Hardness (HB), Material removal rate (Zw), Empirical constant (A0), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d) and Velocity (v). With our tool, you need to enter the respective value for Brinell Hardness, Material removal rate, Empirical constant, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles and Velocity 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 Density?
In this formula, Density uses Brinell Hardness, Material removal rate, Empirical constant, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles and Velocity. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • density = Mass/Volume
  • density = Effective number of atoms in unit cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3)
  • density = specific gravity of the material*1000
  • density = Number of Atoms*Mass of Atom/((Edge length^3)*[Avaga-no])
  • density = Mass of Atom/(Volume of Unit Cell*[Avaga-no])
  • density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
  • density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
  • density = (Specific Heat Ratio/(Specific Heat Ratio-1))*(Pressure/Enthalpy)
  • density = (Heat transfer coefficient)/(Convective mass transfer coefficient*Specific heat*(Lewis Number^0.67))
  • density = Chapman–Rubesin factor*Static density*static viscosity/(Kinematic viscosity)
  • density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free stream velocity^2))
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