Specific Weight Of Fluid Given Buoyancy Force Calculator

Specific Weight Formula:

\[ \omega = \frac{F_{Buoyant}}{H_{Pressurehead} \times A} \]

Buoyant Force (F_Buoyant):

Difference in Pressure Head (H_Pressurehead):

Cross-Sectional Area of Body (A):

m²

Specific Weight of Fluid (ω):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Specific Weight of Fluid?

Specific weight of a fluid is the weight per unit volume of that fluid. It represents the force exerted by gravity on a unit volume of the fluid and is an important property in fluid mechanics and buoyancy calculations.

2. How Does the Calculator Work?

The calculator uses the specific weight formula:

\[ \omega = \frac{F_{Buoyant}}{H_{Pressurehead} \times A} \]

Where:

\( \omega \) — Specific weight of fluid (N/m³)
\( F_{Buoyant} \) — Buoyant force (N)
\( H_{Pressurehead} \) — Difference in pressure head (m)
\( A \) — Cross-sectional area of body (m²)

Explanation: This formula calculates the specific weight of a fluid based on the buoyant force exerted on a body and the pressure head difference across the body's cross-sectional area.

3. Importance of Specific Weight Calculation

Details: Calculating specific weight is crucial for understanding fluid behavior, designing hydraulic systems, analyzing buoyancy effects, and solving various engineering problems involving fluids.

4. Using the Calculator

Tips: Enter buoyant force in newtons (N), pressure head difference in meters (m), and cross-sectional area in square meters (m²). All values must be positive and 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 the equation: specific weight = density × gravitational acceleration.

Q2: How does temperature affect specific weight?
A: Temperature affects specific weight because it changes fluid density. As temperature increases, most fluids expand, decreasing their density and specific weight.

Q3: What are typical specific weight values for common fluids?
A: Water at 4°C has a specific weight of approximately 9800 N/m³, mercury about 133,000 N/m³, and air at sea level about 12 N/m³.

Q4: How is specific weight used in buoyancy calculations?
A: In buoyancy, the specific weight of the fluid determines the upward buoyant force on a submerged object according to Archimedes' principle.

Q5: Can this calculator be used for gases as well as liquids?
A: Yes, the formula applies to both liquids and gases, though the specific weight of gases is typically much lower than that of liquids.