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Analysator für spezifisches Gewicht & Auftrieb

Relative Dichte bestimmen und Auftriebszustände simulieren

Das spezifische Gewicht (\(SG\)) ist eine dimensionslose Größe, die das Verhältnis der Dichte einer Substanz zur Dichte einer Referenzflüssigkeit (meist Wasser) darstellt:

$$ SG = \frac{\rho_{sub}}{\rho_{ref}} \quad | \quad \gamma_{sub} = \rho_{sub} \cdot g $$

* Wobei \(\gamma\) das spezifische Gewicht (\(N/m^3\)) und \(g \approx 9,81 m/s^2\) ist. Wenn \(SG < 1\), schwimmt das Objekt.


1. Dichte- & Schwerkraftberechnung

2. Holografische Auftriebsansicht

Visualisierung der Substanz in der Referenzflüssigkeit. Für \(SG < 1\) ist die Eintauchtiefe exakt proportional zum SG-Wert.

ZUSTAND: SINKT
SG > 1.0
SUB
Spezifisches Gewicht (\(SG\)) 0.00
Substanz \(\gamma\) (\(kN/m^3\)) 0.00
Auftriebszustand SINKT
Eingetauchtes Volumen 100%

3. Dichtevergleichsprofil

Precision Specific Gravity Analysis

Materials Lab: Multi-Phase Standards & Industrial Scale Matrix
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Quick Answer

Specific Gravity (SG) is the ratio of a substance’s density to a reference density. Our V5.0 engine provides Phase-Intelligent Interlocks: using Water (4°C or 60°F) for liquids/solids and Air for gases. It serves as a Universal Translator for API (petroleum), Brix (sugar/brewing), and Baumé (chemical) scales, ensuring 100% precision in commercial and engineering applications.

🔬
By Prof. David Anderson
Materials & Fluid Properties Lab

„In the laboratory, Specific Gravity is the master key to material identity. Whether you are identifying a gemstone, pricing a tanker of crude oil, or sizing a massive industrial pump, the SG value defines the physics. Most AI tools fail to distinguish between water-based and air-based reference baselines—here, we enforce those boundaries with rigorous precision.“

1. The Physics of Relative Density

Specific Gravity ($SG$) is a dimensionless value that describes how heavy a material is relative to a standard. It is the ratio of the density of the substance ($\rho_{\text{sub}}$) to the density of the reference ($\rho_{\text{ref}}$).

SG = ρsubstance / ρreference Note: Both densities must be measured in the same units (e.g., kg/m³ or lb/ft³).

2. Reference Standards: 4°C vs. 60°F

PRECISION GAP

Scientific labs use water at 4°C (1000 kg/m³) as the baseline. However, the oil and gas industry uses 60°F / 60°F (approx. 999 kg/m³).

Failure to calibrate for this baseline difference in crude oil trading can lead to massive inventory discrepancies. Our engine allows you to toggle between these standards.

3. Gas Specific Gravity: The Air Baseline

For gases, using water as a reference is impractical. Instead, we use Dry Air at standard temperature and pressure. Natural gas typically has an SG of around 0.6, meaning it is about 60% as heavy as air.

SGgas = MWgas / 28.96 Calculated using the Molecular Weight (MW) of the gas vs the MW of air.

4. Industrial Scales: API, Brix, and Baumé

Different industries use specialized non-linear scales derived from Specific Gravity:

  • 🛢️ API Gravity: Used for crude oil. Formula: $API = (141.5 / SG) – 131.5$.
  • 🍺 Brix: Used for sugar content in brewing and wine. $1° \text{Brix} \approx 1\% \text{ sugar by weight}$.
  • 🧪 Baumé: Used for acids and chemicals in the process industry.

5. Archimedes‘ Principle & Material ID

You can find the SG of an irregular solid by weighing it in air and then in water. The apparent loss of weight is equal to the weight of the water displaced.

SG = Weightair / (WeightairWeightwater) The foundation of gemstone and precious metal identification.

6. The Pump & Motor Horsepower Connection

Pump performance curves are typically generated using water ($SG = 1.0$). If you pump a heavy brine ($SG = 1.2$), the Brake Horsepower (BHP) required increases linearly with the SG. Ignoring this will burn out motors in industrial fluid transport.

7. Top 5 Material Science FAQs

Q1: Can Specific Gravity change with temperature?
Yes. As materials expand with heat, their density decreases, and thus their SG relative to a fixed standard changes. Always specify the temperature.
Q2: What is the SG of Gold vs. Pyrite (Fool’s Gold)?
Pure Gold has an SG of ~19.3. Pyrite is ~5.0. Weighing them in water is the fastest way to spot the difference.

8. Engineering Takeaways for Analysis

  • 🌍 Phase Check: Ensure you are using Water as a reference for liquids and Air for gases.
  • 🌡️ Temp Match: In petroleum, use the 60°F standard; in high-precision science, use 4°C.
  • ⚙️ Pump Safety: Multiply water BHP by the fluid SG to prevent motor failure.

Analyze Material Properties

Calculate SG, convert API/Brix scales, and identify materials using Archimedes buoyancy logic with industrial-grade precision.

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