Specific Weight Of Liquid Given Force Exerted On Tank Due To Jet Calculator

Formula Used:

\[ \text{Specific Weight of Liquid} = \frac{(Force\ of\ Fluid \times [g])}{(Cross\ Sectional\ Area\ of\ Jet \times (Actual\ Velocity)^2)} \] \[ \gamma_f = \frac{(F \times [g])}{(A_{Jet} \times (v)^2)} \]

Specific Weight of Liquid (γ_f):

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1. What is Specific Weight of Liquid?

Specific Weight of Liquid refers to the weight per unit volume of that substance. It represents the force exerted by gravity on a unit volume of the liquid and is an important property in fluid mechanics and hydraulic engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_f = \frac{(F \times [g])}{(A_{Jet} \times (v)^2)} \]

Where:

\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( F \) — Force of Fluid (N)
\( [g] \) — Gravitational acceleration constant (9.80665 m/s²)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( v \) — Actual Velocity (m/s)

Explanation: This formula calculates the specific weight of a liquid based on the force exerted by a jet of that liquid, considering the cross-sectional area and velocity of the jet.

3. Importance of Specific Weight Calculation

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

4. Using the Calculator

Tips: Enter force in newtons (N), cross-sectional area in square meters (m²), and velocity in meters per second (m/s). 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 (force/volume), while density is mass per unit volume (mass/volume). They are related by the equation: specific weight = density × gravitational acceleration.

Q2: What are typical units for specific weight?
A: Common units include kN/m³ (kilonewton per cubic meter) and N/m³ (newton per cubic meter) in the SI system, or lb/ft³ (pound per cubic foot) in the imperial system.

Q3: How does temperature affect specific weight?
A: Temperature changes affect fluid density, which in turn affects specific weight. Most liquids become less dense (and have lower specific weight) as temperature increases.

Q4: What is the specific weight of water?
A: At 4°C, the specific weight of water is approximately 9.81 kN/m³. This value decreases slightly with increasing temperature.

Q5: When is this specific calculation method used?
A: This particular formula is used when calculating the specific weight of a liquid based on the force exerted by a jet of that liquid on a tank or surface, which is common in hydraulic engineering applications.