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Density of Molten Metal using Bernoulli's Equation Formula

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

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

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

Density of Molten Metal using Bernoulli's Equation Example

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Here is how the Density of Molten Metal using Bernoulli's Equation equation looks like with Values.

Here is how the Density of Molten Metal using Bernoulli's Equation equation looks like with Units.

Here is how the Density of Molten Metal using Bernoulli's Equation equation looks like.

7851.5822 = \frac{5.27}{12.99 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}}

7851.5822kg/m³ = \frac{5.27kg}{12.99cm² \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}}

7851.5822 = \frac{5.27}{12.99 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.02}}

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Density of Molten Metal using Bernoulli's Equation Solution

Follow our step by step solution on how to calculate Density of Molten Metal using Bernoulli's Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ m = \frac{5.27kg}{12.99cm² \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot [g] \cdot 0.02cm}}

Next Step Substitute values of Constants

∴

ρ m = \frac{5.27kg}{12.99cm² \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.02cm}}

Next Step Convert Units

∴

ρ m = \frac{5.27kg}{0.0013m² \cdot 11s \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066m/s² \cdot 0.0002m}}

Next Step Prepare to Evaluate

∴

ρ m = \frac{5.27}{0.0013 \cdot 11 \cdot 0.75 \cdot \sqrt{2 \cdot 9.8066 \cdot 0.0002}}

Next Step Evaluate

∴

ρ m = 7851.582206528kg/m³

LAST Step Rounding Answer

∴

ρ m = 7851.5822kg/m³

Density of Molten Metal using Bernoulli's Equation Formula Elements

Variables

Constants

Functions

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

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

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 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 Effective Metal Head for Bottom Gate

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

How to Evaluate Density of Molten Metal using Bernoulli's Equation?

Density of Molten Metal using Bernoulli's Equation evaluator uses Density of Metal = Casting Mass/(Area of Choke Section of Sprue*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)) to evaluate the Density of Metal, Density of Molten Metal using Bernoulli's Equation is used to describe the behavior of fluids in motion, particularly in situations involving flow through pipes or over surfaces. Density of Metal is denoted by ρ_m symbol.

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

FAQs on Density of Molten Metal using Bernoulli's Equation

What is the formula to find Density of Molten Metal using Bernoulli's Equation?

The formula of Density of Molten Metal using Bernoulli's Equation is expressed as Density of Metal = Casting Mass/(Area of Choke Section of Sprue*Pouring Time*Efficiency Factor of Gating System*sqrt(2*[g]*Effective Metal Head of Mould)). Here is an example- 7851.582 = 5.27/(0.001299*11*0.75*sqrt(2*[g]*0.0002)).

How to calculate Density of Molten Metal using Bernoulli's Equation?

With Casting Mass (W_c), Area of Choke Section of Sprue (A_c), Pouring Time (t_pt), Efficiency Factor of Gating System (C) & Effective Metal Head of Mould (H) we can find Density of Molten Metal using Bernoulli's Equation using the formula - Density of Metal = Casting Mass/(Area of Choke Section of Sprue*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 Function function(s).

Can the Density of Molten Metal using Bernoulli's Equation be negative?

No, the Density of Molten Metal using Bernoulli's Equation, measured in Density cannot be negative.

Which unit is used to measure Density of Molten Metal using Bernoulli's Equation?

Density of Molten Metal using Bernoulli's Equation is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of Molten Metal using Bernoulli's Equation can be measured.

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Density of Molten Metal using Bernoulli's Equation Formula

Density of Molten Metal using Bernoulli's Equation Example

Density of Molten Metal using Bernoulli's Equation Solution

Density of Molten Metal using Bernoulli's Equation Formula Elements

Other formulas in Choke Area category

How to Evaluate Density of Molten Metal using Bernoulli's Equation?

FAQs on Density of Molten Metal using Bernoulli's Equation

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