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Velocity of abrasive particles Formula

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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. Check FAQs

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

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

Velocity of abrasive particles Example

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Here is how the Velocity of abrasive particles equation looks like with Values.

Here is how the Velocity of abrasive particles equation looks like with Units.

Here is how the Velocity of abrasive particles equation looks like.

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

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

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

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Velocity of abrasive particles Solution

Follow our step by step solution on how to calculate Velocity of abrasive particles?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

V = {(\frac{0.16m³/s}{100 \cdot 5 \cdot {0.004m}^{3} \cdot {(\frac{997kg/m³}{12 \cdot 2E+9Pa})}^{\frac{3}{4}}})}^{\frac{2}{3}}

Next Step Prepare to Evaluate

∴

V = {(\frac{0.16}{100 \cdot 5 \cdot {0.004}^{3} \cdot {(\frac{997}{12 \cdot 2E+9})}^{\frac{3}{4}}})}^{\frac{2}{3}}

Next Step Evaluate

∴

V = 1420686.92120444m/s

LAST Step Rounding Answer

∴

V = 1.4E+6m/s

Velocity of abrasive particles Formula Elements

Variables

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

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