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## Credits

University Institute of Technology RGPV (UIT - RGPV), Bhopal
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## Velocity of abrasive particles Solution

STEP 0: Pre-Calculation Summary
Formula Used
velocity = (Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*(Density/(12*Brinell Hardness))^(3/4)))^(2/3)
v = (Zw/(A0*N*d^3*(ρ/(12*HB))^(3/4)))^(2/3)
This formula uses 6 Variables
Variables Used
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)
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
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)
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
v = (Zw/(A0*N*d^3*(ρ/(12*HB))^(3/4)))^(2/3) --> (1/(100*5*0.001^3*(997/(12*1961329999.99986))^(3/4)))^(2/3)
Evaluating ... ...
v = 77126752.131666
STEP 3: Convert Result to Output's Unit
77126752.131666 Meter per Second --> No Conversion Required
77126752.131666 Meter per Second <-- Velocity
(Calculation completed in 00.031 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
Thermal Diffusivity
thermal_diffusivity = Thermal Conductivity/(Density*Specific Heat Capacity) 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
Inertial Force Per Unit Area
inertial_force_per_unit_area = (Fluid Velocity^2)*Density Go
Momentum Diffusivity
momentum_diffusivity = Dynamic viscosity/Density Go
Number of atomic sites
number_atomic_sites = Density/Atomic Mass Go
Relative Density
relative_density = Density/Water Density Go
Tensile strength from Brinell hardness
tensile_strength = (3.45/9.8067)*Brinell Hardness Go

## < 11 Other formulas that calculate the same Output

Velocity of the follower after time t (Cycloidal motion)
velocity = ((Angular velocity of the cam*Stroke of the follower)/Angular displacement of the cam during out stroke)*(1-(cos((2*pi*Angle through which the cam rotates)/(Angular displacement of the cam during out stroke)))) Go
Velocity of the follower for tangent cam with roller follower(contact with straight flanks)
velocity = Angular velocity of the cam*(Radius of the base circle+Radius of the roller)*(sin(Angle turned by cam from beginning of roller)/((cos(Angle turned by cam from beginning of roller))^2)) Go
Velocity Of The Particle
velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi) Go
Velocity due to voltage
velocity = sqrt((2*[Charge-e]*Velocity of electron)/[Mass-e]) Go
Velocity Of Wave in String
velocity = sqrt(Tension Of String/Mass Per Unit length) Go
Velocity OF A Progressive Wave(Using Angular Frequency)
velocity = (Wavelength*Angular Frequency)/(4*pi) Go
Velocity Of Sound In Liquid
velocity = sqrt(bulk modulus/Density) Go
Velocity Of Sound In Solids
velocity = sqrt(Elasticity/Density) Go
Velocity OF A Progressive Wave
velocity = Wavelength Of A Wave/Time Period Of Progressive Wave Go
Velocity OF A Progressive Wave(Using Frequency)
velocity = Wavelength Of A Wave*frequency Go
Velocity Of A Wave(Using Wave Number)
velocity = Angular Frequency/Wave Number Go

### Velocity of abrasive particles Formula

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

## 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 Velocity of abrasive particles?

Velocity of abrasive particles calculator uses velocity = (Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*(Density/(12*Brinell Hardness))^(3/4)))^(2/3) to calculate the Velocity, The Velocity of abrasive particles formula is defined as the velocity of jet with which abrasives impact the workpiece. Velocity and is denoted by v symbol.

How to calculate Velocity of abrasive particles using this online calculator? To use this online calculator for Velocity of abrasive particles, enter Material removal rate (Zw), Empirical constant (A0), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d), Density (ρ) and Brinell Hardness (HB) and hit the calculate button. Here is how the Velocity of abrasive particles calculation can be explained with given input values -> 7.713E+7 = (1/(100*5*0.001^3*(997/(12*1961329999.99986))^(3/4)))^(2/3).

### FAQ

What is Velocity of abrasive particles?
The Velocity of abrasive particles formula is defined as the velocity of jet with which abrasives impact the workpiece and is represented as v = (Zw/(A0*N*d^3*(ρ/(12*HB))^(3/4)))^(2/3) or velocity = (Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*(Density/(12*Brinell Hardness))^(3/4)))^(2/3). 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, 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 Velocity of abrasive particles?
The Velocity of abrasive particles formula is defined as the velocity of jet with which abrasives impact the workpiece is calculated using velocity = (Material removal rate/(Empirical constant*No. of abrasive particles impacting per unit time*Mean diameter of abrasive particles^3*(Density/(12*Brinell Hardness))^(3/4)))^(2/3). To calculate Velocity of abrasive particles, you need Material removal rate (Zw), Empirical constant (A0), No. of abrasive particles impacting per unit time (N), Mean diameter of abrasive particles (d), Density (ρ) and Brinell Hardness (HB). With our tool, you need to enter the respective value for Material removal rate, Empirical constant, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles, 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 Velocity?
In this formula, Velocity uses Material removal rate, Empirical constant, No. of abrasive particles impacting per unit time, Mean diameter of abrasive particles, Density and Brinell Hardness. We can use 11 other way(s) to calculate the same, which is/are as follows -
• velocity = Wavelength Of A Wave/Time Period Of Progressive Wave
• velocity = Wavelength Of A Wave*frequency
• velocity = (Wavelength*Angular Frequency)/(4*pi)
• velocity = Angular Frequency/Wave Number
• velocity = sqrt(Tension Of String/Mass Per Unit length)
• velocity = sqrt(bulk modulus/Density)
• velocity = sqrt(Elasticity/Density)
• velocity = sqrt((2*[Charge-e]*Velocity of electron)/[Mass-e])
• velocity = (Quantum Number*Plancks Constant)/(Mass*Radius*2*pi)
• velocity = ((Angular velocity of the cam*Stroke of the follower)/Angular displacement of the cam during out stroke)*(1-(cos((2*pi*Angle through which the cam rotates)/(Angular displacement of the cam during out stroke))))
• velocity = Angular velocity of the cam*(Radius of the base circle+Radius of the roller)*(sin(Angle turned by cam from beginning of roller)/((cos(Angle turned by cam from beginning of roller))^2))
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