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Number of abrasive particles impacting per unit time Formula

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Abrasive Particles Number Impacting Per Unit Time is defined as the average number of particles impacting work surface to cut it during Abrasive Jet Machining. Check FAQs

N = \frac{Z w}{A 0 \cdot {d mean}^{3} \cdot V^{\frac{3}{2}} \cdot {(\frac{ρ}{12 \cdot h b})}^{\frac{3}{4}}}

N - Abrasive Particles Number Impacting Per Unit Time?Z_w - Metal Removal Rate?A₀ - Empirical Constant?d_mean - Mean Diameter of Abrasive Particles?V - Velocity?ρ - Density?h_b - Brinell Hardness?

Number of abrasive particles impacting per unit time Example

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Here is how the Number of abrasive particles impacting per unit time equation looks like with Values.

Here is how the Number of abrasive particles impacting per unit time equation looks like with Units.

Here is how the Number of abrasive particles impacting per unit time equation looks like.

5 = \frac{0.16}{100 \cdot 4^{3} \cdot {1.4E+6}^{\frac{3}{2}} \cdot {(\frac{997}{12 \cdot 200})}^{\frac{3}{4}}}

5 = \frac{0.16m³/s}{100 \cdot {4mm}^{3} \cdot {1.4E+6m/s}^{\frac{3}{2}} \cdot {(\frac{997kg/m³}{12 \cdot 200kgf/mm²})}^{\frac{3}{4}}}

5 = \frac{0.16}{100 \cdot 4^{3} \cdot {1.4E+6}^{\frac{3}{2}} \cdot {(\frac{997}{12 \cdot 200})}^{\frac{3}{4}}}

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Number of abrasive particles impacting per unit time Solution

Follow our step by step solution on how to calculate Number of abrasive particles impacting per unit time?

FIRST Step Consider the formula

N = \frac{Z w}{A 0 \cdot {d mean}^{3} \cdot V^{\frac{3}{2}} \cdot {(\frac{ρ}{12 \cdot h b})}^{\frac{3}{4}}}

Next Step Substitute values of Variables

∴

N = \frac{0.16m³/s}{100 \cdot {4mm}^{3} \cdot {1.4E+6m/s}^{\frac{3}{2}} \cdot {(\frac{997kg/m³}{12 \cdot 200kgf/mm²})}^{\frac{3}{4}}}

Next Step Convert Units

∴

N = \frac{0.16m³/s}{100 \cdot {0.004m}^{3} \cdot {1.4E+6m/s}^{\frac{3}{2}} \cdot {(\frac{997kg/m³}{12 \cdot 2E+9Pa})}^{\frac{3}{4}}}

Next Step Prepare to Evaluate

∴

N = \frac{0.16}{100 \cdot {0.004}^{3} \cdot {1.4E+6}^{\frac{3}{2}} \cdot {(\frac{997}{12 \cdot 2E+9})}^{\frac{3}{4}}}

Next Step Evaluate

∴

N = 4.99999999999999

LAST Step Rounding Answer

∴

N = 5

Number of abrasive particles impacting per unit time Formula Elements

Variables

Abrasive Particles Number Impacting Per Unit Time

Abrasive Particles Number Impacting Per Unit Time is defined as the average number of particles impacting work surface to cut it during Abrasive Jet Machining.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Abrasive Particles Number Impacting Per Unit Time

Metal Removal Rate

Metal 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.

Symbol: Z_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Metal Removal Rate

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.

Symbol: A₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Empirical Constant

Mean Diameter of Abrasive Particles

Mean diameter of Abrasive Particles is the mean calculated from sampling method.

Symbol: d_mean

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Abrasive Particles

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Brinell Hardness

Brinell Hardness uses a hard, spherical indenter which is forced into the surface of the metal to be tested.

Symbol: h_b

Measurement: PressureUnit: kgf/mm²

Note: Value should be greater than 0.

Formulas to find Brinell Hardness

Other formulas in Abrasive Jet Machining (AJM) category

Go Material removal rate

Z w = A 0 \cdot N \cdot {d mean}^{3} \cdot V^{\frac{3}{2}} \cdot {(\frac{ρ}{12 \cdot h b})}^{\frac{3}{4}}

Go Empirical constant for AJM

A 0 = \frac{Z w}{N \cdot {d mean}^{3} \cdot V^{\frac{3}{2}} \cdot {(\frac{ρ}{12 \cdot h b})}^{\frac{3}{4}}}

How to Evaluate Number of abrasive particles impacting per unit time?

Number of abrasive particles impacting per unit time evaluator uses Abrasive Particles Number Impacting Per Unit Time = Metal Removal Rate/(Empirical Constant*Mean Diameter of Abrasive Particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)) to evaluate the Abrasive Particles Number Impacting Per Unit Time, The Number of abrasive particles impacting per unit time represents the rate at which abrasive particles come into contact with the workpiece surface during abrasive machining processes like Abrasive Jet Machining (AJM) or grinding. Abrasive Particles Number Impacting Per Unit Time is denoted by N symbol.

How to evaluate Number of abrasive particles impacting per unit time using this online evaluator? To use this online evaluator for Number of abrasive particles impacting per unit time, enter Metal Removal Rate (Z_w), Empirical Constant (A₀), Mean Diameter of Abrasive Particles (d_mean), Velocity (V), Density (ρ) & Brinell Hardness (h_b) and hit the calculate button.

FAQs on Number of abrasive particles impacting per unit time

What is the formula to find Number of abrasive particles impacting per unit time?

The formula of Number of abrasive particles impacting per unit time is expressed as Abrasive Particles Number Impacting Per Unit Time = Metal Removal Rate/(Empirical Constant*Mean Diameter of Abrasive Particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)). Here is an example- 5 = 0.16/(100*0.004^3*1420686.92120444^(3/2)*(997/(12*1961329999.99986))^(3/4)).

How to calculate Number of abrasive particles impacting per unit time?

With Metal Removal Rate (Z_w), Empirical Constant (A₀), Mean Diameter of Abrasive Particles (d_mean), Velocity (V), Density (ρ) & Brinell Hardness (h_b) we can find Number of abrasive particles impacting per unit time using the formula - Abrasive Particles Number Impacting Per Unit Time = Metal Removal Rate/(Empirical Constant*Mean Diameter of Abrasive Particles^3*Velocity^(3/2)*(Density/(12*Brinell Hardness))^(3/4)).

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Number of abrasive particles impacting per unit time Formula

Number of abrasive particles impacting per unit time Example

Number of abrasive particles impacting per unit time Solution

Number of abrasive particles impacting per unit time Formula Elements

Other formulas in Abrasive Jet Machining (AJM) category

How to Evaluate Number of abrasive particles impacting per unit time?

FAQs on Number of abrasive particles impacting per unit time

Variable Name