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Choke Area using Bernoulli's Equation Formula

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Area of Choke Section of Sprue is the area at that part of sprue where it runs full of metal. Check FAQs

A c = \frac{W c}{ρ m \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

A_c - Area of Choke Section of Sprue?W_c - Casting Mass?ρ_m - Density of Metal?t_pt - Pouring Time?C - Efficiency Factor of Gating System?H - Effective Metal Head of Mould?[g] - Gravitational acceleration on Earth?

Choke Area using Bernoulli's Equation Example

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Here is how the Choke Area using Bernoulli's Equation equation looks like with Values.

Here is how the Choke Area using Bernoulli's Equation equation looks like with Units.

Here is how the Choke Area using Bernoulli's Equation equation looks like.

12.9926 = \frac{5.27}{7850 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}}

12.9926cm² = \frac{5.27kg}{7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}}

12.9926 = \frac{5.27}{7850 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}}

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Choke Area using Bernoulli's Equation Solution

Follow our step by step solution on how to calculate Choke Area using Bernoulli's Equation?

FIRST Step Consider the formula

A c = \frac{W c}{ρ m \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

Next Step Substitute values of Variables

∴

A c = \frac{5.27kg}{7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot [g] \cdot 0.02cm}}

Next Step Substitute values of Constants

∴

A c = \frac{5.27kg}{7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}}

Next Step Convert Units

∴

A c = \frac{5.27kg}{7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.0002m}}

Next Step Prepare to Evaluate

∴

A c = \frac{5.27}{7850 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.0002}}

Next Step Evaluate

∴

A c = 0.00129926181990826m²

Next Step Convert to Output's Unit

∴

A c = 12.9926181990826cm²

LAST Step Rounding Answer

∴

A c = 12.9926cm²

Choke Area using Bernoulli's Equation Formula Elements

Variables

Constants

Functions

Area of Choke Section of Sprue

Area of Choke Section of Sprue is the area at that part of sprue where it runs full of metal.

Symbol: A_c

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Area of Choke Section of Sprue

Casting Mass

Casting Mass is the weight of the material used to form a casting.

Symbol: W_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Casting Mass

Density of Metal

Density of Metal is the mass per unit volume of the given metal in the casting process.

Symbol: ρ_m

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Metal

Pouring Time

Pouring time is the time for complete filling of a mould.

Symbol: t_pt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Pouring Time

Efficiency Factor of Gating System

Efficiency Factor of Gating System is the measure of how effectively the gating system distributes molten metal into the mold cavity during casting.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Efficiency Factor of Gating System

Effective Metal Head of Mould

Effective Metal Head of Mould is the height of molten metal above the pouring basin in a casting mold, critical for ensuring proper flow and filling of the mold cavity.

Symbol: H

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Effective Metal Head of Mould

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Choke Area category

Go Pouring Time using Bernoulli's Equation

t pt = \frac{W c}{ρ m \cdot A c \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

Go Casting Mass using Bernoulli's Equation

W c = A c \cdot ρ m \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}

Go Density of Molten Metal using Bernoulli's Equation

ρ m = \frac{W c}{A c \cdot t pt \cdot C \cdot \sqrt{2 \cdot [g] \cdot H}}

Go Effective Metal Head for Bottom Gate

H b = h - \frac{c}{2}

How to Evaluate Choke Area using Bernoulli's Equation?

Choke Area using Bernoulli's Equation evaluator uses Area of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)) to evaluate the Area of Choke Section of Sprue, Choke area using Bernoulli's equation is defined as the main control area which meters the metal flow into the mould cavity, so that the mould is completely filled within the calculated pouring time. Area of Choke Section of Sprue is denoted by A_c symbol.

How to evaluate Choke Area using Bernoulli's Equation using this online evaluator? To use this online evaluator for Choke Area using Bernoulli's Equation, enter Casting Mass (W_c), Density of Metal (ρ_m), Pouring Time (t_pt), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (H) and hit the calculate button.

FAQs on Choke Area using Bernoulli's Equation

What is the formula to find Choke Area using Bernoulli's Equation?

The formula of Choke Area using Bernoulli's Equation is expressed as Area of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)). Here is an example- 129926.2 = 5.27/(7850*11*0.75*sqrt(2*[g]*0.0002)).

How to calculate Choke Area using Bernoulli's Equation?

With Casting Mass (W_c), Density of Metal (ρ_m), Pouring Time (t_pt), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (H) we can find Choke Area using Bernoulli's Equation using the formula - Area of Choke Section of Sprue = Casting Mass/(Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Choke Area using Bernoulli's Equation be negative?

No, the Choke Area using Bernoulli's Equation, measured in Area cannot be negative.

Which unit is used to measure Choke Area using Bernoulli's Equation?

Choke Area using Bernoulli's Equation is usually measured using the Square Centimeter[cm²] for Area. Square Meter[cm²], Square Kilometer[cm²], Square Millimeter[cm²] are the few other units in which Choke Area using Bernoulli's Equation can be measured.

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Choke Area using Bernoulli's Equation Formula

Choke Area using Bernoulli's Equation Example

Choke Area using Bernoulli's Equation Solution

Choke Area using Bernoulli's Equation Formula Elements

Other formulas in Choke Area category

How to Evaluate Choke Area using Bernoulli's Equation?

FAQs on Choke Area using Bernoulli's Equation

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