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Casting Mass using Bernoulli's Equation Formula

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

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

W_c - Casting Mass?A_c - Area of Choke Section of Sprue?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?

Casting Mass using Bernoulli's Equation Example

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Here is how the Casting Mass using Bernoulli's Equation equation looks like with Values.

Here is how the Casting Mass using Bernoulli's Equation equation looks like with Units.

Here is how the Casting Mass using Bernoulli's Equation equation looks like.

5.2689 = 12.99 \cdot 7850 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}

5.2689kg = 12.99cm² \cdot 7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}

5.2689 = 12.99 \cdot 7850 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}

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Casting Mass using Bernoulli's Equation Solution

Follow our step by step solution on how to calculate Casting Mass using Bernoulli's Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W c = 12.99cm² \cdot 7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot [g] \cdot 0.02cm}

Next Step Substitute values of Constants

∴

W c = 12.99cm² \cdot 7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}

Next Step Convert Units

∴

W c = 0.0013m² \cdot 7850kg/m³ \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.0002m}

Next Step Prepare to Evaluate

∴

W c = 0.0013 \cdot 7850 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.0002}

Next Step Evaluate

∴

W c = 5.26893801934652kg

LAST Step Rounding Answer

∴

W c = 5.2689kg

Casting Mass using Bernoulli's Equation Formula Elements

Variables

Constants

Functions

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

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

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 Choke Area using Bernoulli's Equation

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

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 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 Casting Mass using Bernoulli's Equation?

Casting Mass using Bernoulli's Equation evaluator uses Casting Mass = Area of Choke Section of Sprue*Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould) to evaluate the Casting Mass, Casting mass using Bernoulli's equation is the calculation of the mass of metal poured into a mold during casting by applying Bernoulli's equation, which relates the pressure, velocity, and height of a fluid flow in the pouring process. Casting Mass is denoted by W_c symbol.

How to evaluate Casting Mass using Bernoulli's Equation using this online evaluator? To use this online evaluator for Casting Mass using Bernoulli's Equation, enter Area of Choke Section of Sprue (A_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 Casting Mass using Bernoulli's Equation

What is the formula to find Casting Mass using Bernoulli's Equation?

The formula of Casting Mass using Bernoulli's Equation is expressed as Casting Mass = Area of Choke Section of Sprue*Density of Metal*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould). Here is an example- 5.268938 = 0.001299*7850*11*0.75*sqrt(2*[g]*0.0002).

How to calculate Casting Mass using Bernoulli's Equation?

With Area of Choke Section of Sprue (A_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 Casting Mass using Bernoulli's Equation using the formula - Casting Mass = Area of Choke Section of Sprue*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 Casting Mass using Bernoulli's Equation be negative?

No, the Casting Mass using Bernoulli's Equation, measured in Weight cannot be negative.

Which unit is used to measure Casting Mass using Bernoulli's Equation?

Casting Mass using Bernoulli's Equation is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Casting Mass using Bernoulli's Equation can be measured.

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Casting Mass using Bernoulli's Equation Formula

Casting Mass using Bernoulli's Equation Example

Casting Mass using Bernoulli's Equation Solution

Casting Mass using Bernoulli's Equation Formula Elements

Other formulas in Choke Area category

How to Evaluate Casting Mass using Bernoulli's Equation?

FAQs on Casting Mass using Bernoulli's Equation

Variable Name