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Specific Weight of Liquid Given Total Force Exerted At Any Section of Container Calculator

Formula Used:

\[ y = \frac{2 \times F_C}{B \times h \times h} \]

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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:

\[ y = \frac{2 \times F_C}{B \times h \times h} \]

Where:

Explanation: This formula calculates the specific weight of a liquid based on the force exerted on a cylinder and the dimensions of the container section.

3. Importance of Specific Weight Calculation

Details: Calculating specific weight is crucial for fluid mechanics applications, structural design of containers, and understanding fluid behavior under various conditions.

4. Using the Calculator

Tips: Enter force on cylinder in Newtons, width of section in meters, and height of crack in meters. All values must be positive numbers greater than zero.

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 gravity: specific weight = density × gravity.

Q2: Why is the height of crack squared in the formula?
A: The squared term accounts for the area moment and distribution of force across the cross-sectional area of the container.

Q3: What are typical specific weight values for common liquids?
A: Water: 9.81 kN/m³, Mercury: 133 kN/m³, Gasoline: 6.6-7.5 kN/m³, depending on temperature and composition.

Q4: How does temperature affect specific weight?
A: As temperature increases, most liquids expand, decreasing their density and specific weight. Water has maximum density at 4°C.

Q5: Can this formula be used for gases?
A: While the concept of specific weight applies to gases, this particular formula is designed for liquids in container applications and may not be appropriate for gases.

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