Unit Weight Of Water Given Drag Force Calculator

Formula Used:

\[ \gamma_w = \frac{F_D}{(G-1) \times (1-n) \times t \times \sin(\alpha_i)} \]

Drag Force (F_D):

Specific Gravity of Sediment (G):

Rugosity Coefficient (n):

Volume per Unit Area (t):

Angle of Inclination (α_i):

rad

Unit Weight of Fluid (γ_w):

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1. What is Unit Weight of Water?

Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810 N/m³).

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_w = \frac{F_D}{(G-1) \times (1-n) \times t \times \sin(\alpha_i)} \]

Where:

\( F_D \) — Drag Force (N)
\( G \) — Specific Gravity of Sediment
\( n \) — Rugosity Coefficient
\( t \) — Volume per Unit Area (m)
\( \alpha_i \) — Angle of Inclination of Plane to Horizontal (rad)

Explanation: This formula calculates the unit weight of fluid based on drag force, sediment properties, and geometric parameters.

3. Importance of Unit Weight Calculation

Details: Accurate unit weight calculation is crucial for hydraulic engineering, sediment transport studies, and fluid dynamics analysis in various engineering applications.

4. Using the Calculator

Tips: Enter drag force in Newtons, specific gravity as a dimensionless value, rugosity coefficient (0-1), volume per unit area in meters, and angle in radians. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical unit weight of water?
A: The unit weight of water is typically 9810 N/m³ or 62.4 lb/ft³ at standard conditions.

Q2: How does specific gravity affect the calculation?
A: Specific gravity represents the density ratio of sediment to water, with higher values indicating denser materials that require more force to move.

Q3: What is the rugosity coefficient?
A: The rugosity coefficient (Manning's n) quantifies surface roughness, affecting flow resistance and drag forces in fluid dynamics.

Q4: Why is the angle important in this calculation?
A: The angle of inclination affects the gravitational component acting on the sediment particles, influencing the drag force required for movement.

Q5: What are typical applications of this calculation?
A: This calculation is used in hydraulic engineering, sediment transport analysis, river morphology studies, and erosion control design.