Force Exerted By Jet Parallel To Direction Of Jet Normal To Plate Calculator

Formula Used:

\[ F_X = \frac{\gamma_f \cdot A_{Jet} \cdot v_{jet}^2}{g} \cdot (\sin(\angle D))^2 \]

Specific Weight of Liquid (γf):

N/m³

Cross Sectional Area of Jet (A_Jet):

m²

Fluid Jet Velocity (v_jet):

m/s

Angle between Jet and Plate (∠D):

radians

Force by Jet Normal to Plate in X (F_X):

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1. What is Force by Jet Normal to Plate in X?

Force by Jet Normal to Plate in X is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity. This specific force calculation determines the force exerted by a fluid jet normal to a plate in the X-direction.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_X = \frac{\gamma_f \cdot A_{Jet} \cdot v_{jet}^2}{g} \cdot (\sin(\angle D))^2 \]

Where:

\( \gamma_f \) — Specific Weight of Liquid (N/m³)
\( A_{Jet} \) — Cross Sectional Area of Jet (m²)
\( v_{jet} \) — Fluid Jet Velocity (m/s)
\( g \) — Gravitational acceleration (9.80665 m/s²)
\( \angle D \) — Angle between Jet and Plate (radians)

Explanation: The formula calculates the force exerted by a fluid jet normal to a plate, taking into account the specific weight of the liquid, cross-sectional area of the jet, fluid velocity, gravitational acceleration, and the angle between the jet and the plate.

3. Importance of Force Calculation

Details: Accurate force calculation is crucial for designing fluid systems, analyzing jet impacts on surfaces, and engineering applications involving fluid dynamics and momentum transfer.

4. Using the Calculator

Tips: Enter specific weight in N/m³, cross-sectional area in m², fluid velocity in m/s, and angle in radians. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the angle in the formula?
A: The angle between the jet and plate determines the component of force normal to the plate surface, affecting the magnitude of the resulting force.

Q2: How does fluid velocity affect the force?
A: The force is proportional to the square of the fluid velocity, meaning small increases in velocity result in significant increases in force.

Q3: What units should be used for accurate calculations?
A: Use consistent SI units: N/m³ for specific weight, m² for area, m/s for velocity, and radians for angle.

Q4: Can this formula be used for compressible fluids?
A: This formula is primarily designed for incompressible fluids. For compressible fluids, additional factors need to be considered.

Q5: What are typical applications of this calculation?
A: This calculation is used in hydraulic engineering, jet propulsion systems, turbine design, and various industrial applications involving fluid jets.