Specific Weight For Force Exerted By Jet On Vane In X Direction Calculator

Formula Used:

\[ \gamma_f = \frac{F_x \times g}{A_{Jet} \times (v_{jet}^2) \times (\cos(\theta) + \cos(\angle D))} \]

Force Exerted by Fluid Jet in X (Fx):

Acceleration due to Gravity (g):

m/s²

Cross Sectional Area of Jet (AJet):

m²

Fluid Jet Velocity (vjet):

m/s

Theta (θ):

rad

Angle between Jet and Plate (∠D):

rad

Specific Weight of Liquid (γf):

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1. What is Specific Weight of Liquid?

The Specific Weight of Liquid refers to the weight per unit volume of that substance. It is an important property in fluid mechanics that helps determine the force exerted by fluids in various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_f = \frac{F_x \times g}{A_{Jet} \times (v_{jet}^2) \times (\cos(\theta) + \cos(\angle D))} \]

Where:

\( \gamma_f \) — Specific Weight of Liquid (kN/m³)
\( F_x \) — Force Exerted by Fluid Jet in X (N)
\( g \) — Acceleration due to Gravity (m/s²)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( v_{jet} \) — Fluid Jet Velocity (m/s)
\( \theta \) — Theta (radians)
\( \angle D \) — Angle between Jet and Plate (radians)

Explanation: This formula calculates the specific weight based on the force exerted by a fluid jet on a vane in the x-direction, considering the jet's cross-sectional area, velocity, and angular relationships.

3. Importance of Specific Weight Calculation

Details: Calculating specific weight is crucial for understanding fluid behavior in various engineering applications, including hydraulic systems, jet propulsion, and fluid machinery design.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure angles are in radians and all values are positive. The acceleration due to gravity is typically 9.8 m/s².

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between specific weight and density?
A: Specific weight is weight per unit volume, while density is mass per unit volume. They are related by the equation: specific weight = density × gravity.

Q2: Why are angles measured in radians?
A: Radians are used because trigonometric functions in most programming languages and calculators expect angles in radians rather than degrees.

Q3: What typical values can I expect for specific weight?
A: Water has a specific weight of approximately 9.81 kN/m³. Other liquids vary based on their density and local gravity.

Q4: What if I get a division by zero error?
A: This occurs when the denominator becomes zero, which can happen if any of the area, velocity, or cosine terms approach zero. Check your input values.

Q5: Can this calculator be used for gases?
A: While the formula is theoretically applicable, gases have much lower specific weights and different flow characteristics, so results may not be accurate for gaseous fluids.