Specific Gravity Of Sediment Given Drag Force Calculator

Formula Used:

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

Drag Force (F_D):

Unit Weight of Fluid (γ_w):

N/m³

Rugosity Coefficient (n):

Volume per Unit Area (t):

Angle of Inclination (α_i):

rad

Specific Gravity of Sediment (G):

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1. What is Specific Gravity of Sediment?

Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness. It's a crucial parameter in sediment transport and hydraulic engineering calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( G \) — Specific Gravity of Sediment
\( F_D \) — Drag Force (N)
\( \gamma_w \) — Unit Weight of Fluid (N/m³)
\( n \) — Rugosity Coefficient
\( t \) — Volume per Unit Area (m)
\( \alpha_i \) — Angle of Inclination of Plane to Horizontal (rad)

Explanation: This formula calculates the specific gravity by considering the balance between drag force and the submerged weight of sediment particles.

3. Importance of Specific Gravity Calculation

Details: Accurate specific gravity calculation is essential for predicting sediment transport rates, designing erosion control structures, and understanding sediment behavior in hydraulic systems.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure drag force and unit weight are positive values, rugosity coefficient is between 0-1, and angle is in radians.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for specific gravity of sediment?
A: Most natural sediments have specific gravity values between 2.5-2.7, with quartz sand typically around 2.65.

Q2: Why is the rugosity coefficient important?
A: The rugosity coefficient accounts for surface roughness, which affects flow resistance and sediment transport characteristics.

Q3: How does angle of inclination affect the calculation?
A: The angle affects the gravitational component acting on the sediment particles, influencing the drag force required for movement.

Q4: What units should be used for the angle input?
A: The angle should be entered in radians. To convert from degrees to radians, multiply by π/180.

Q5: When is this calculation most applicable?
A: This calculation is particularly useful in hydraulic engineering for designing channels, predicting sediment transport, and analyzing river morphology.