Specific Weight Of Liquid Given Pressure At Point In Liquid Calculator

Formula Used:

\[ y = \frac{P_{ab,H} - P_{atm}}{h \times (1 + \frac{\alpha_v}{[g]})} \]

Absolute Pressure for Both Direction (P_ab,H):

Atmospheric Pressure (P_atm):

Height of Crack (h):

Constant Vertical Acceleration (α_v):

m/s²

Specific Weight of Liquid (y):

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1. What is Specific Weight of Liquid?

The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m³ or 62.43 lbf/ft³.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ y = \frac{P_{ab,H} - P_{atm}}{h \times (1 + \frac{\alpha_v}{[g]})} \]

Where:

\( y \) — Specific Weight of Liquid (N/m³)
\( P_{ab,H} \) — Absolute Pressure for Both Direction (Pa)
\( P_{atm} \) — Atmospheric Pressure (Pa)
\( h \) — Height of Crack (m)
\( \alpha_v \) — Constant Vertical Acceleration (m/s²)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)

Explanation: This formula calculates the specific weight of a liquid based on pressure measurements at a point, considering the effects of vertical acceleration and gravitational forces.

3. Importance of Specific Weight Calculation

Details: Calculating specific weight is crucial for fluid mechanics applications, hydraulic engineering, and understanding buoyancy forces in various industrial and environmental contexts.

4. Using the Calculator

Tips: Enter absolute pressure in Pascals, atmospheric pressure in Pascals, height in meters, and constant vertical acceleration in m/s². All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between specific weight and density?
A: Specific weight is weight per unit volume (N/m³), while density is mass per unit volume (kg/m³). They are related by the equation: specific weight = density × gravitational acceleration.

Q2: Why is gravitational acceleration included in the formula?
A: Gravitational acceleration is fundamental to weight calculations since weight = mass × gravity. The specific weight incorporates this relationship to express the gravitational force per unit volume.

Q3: What are typical specific weight values for common liquids?
A: Water at 4°C: 9.807 kN/m³, Mercury: 133.7 kN/m³, Gasoline: 6.6-7.5 kN/m³, Sea water: 10.05 kN/m³.

Q4: How does temperature affect specific weight?
A: Temperature affects density, which in turn affects specific weight. Most liquids decrease in specific weight as temperature increases due to thermal expansion.

Q5: When is this calculation particularly important?
A: This calculation is critical in hydraulic engineering, dam design, fluid storage tank design, and any application where accurate knowledge of fluid weight forces is required for structural integrity.