Mass Density Of Particle Given Impelling Force Calculator

Formula Used:

\[ \text{Density of Particle} = \frac{\text{Impelling Force}}{[g] \times \text{Volume of One Particle}} + \text{Liquid Density} \] \[ \rho_p = \frac{F}{[g] \times V_p} + \rho_{\text{liquid}} \]

Density of Particle (ρp):

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1. What is the Density of Particle Formula?

The density of particle formula calculates the mass density of a sediment particle based on the impelling force acting on it, the particle volume, and the surrounding liquid density. This calculation is essential in sediment transport and fluid mechanics studies.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \rho_p = \frac{F}{[g] \times V_p} + \rho_{\text{liquid}} \]

Where:

\( \rho_p \) — Density of Particle (kg/m³)
\( F \) — Impelling Force (N)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( V_p \) — Volume of One Particle (m³)
\( \rho_{\text{liquid}} \) — Liquid Density (kg/m³)

Explanation: The formula accounts for the effective weight of the particle in fluid and relates it to the particle's density relative to the surrounding liquid.

3. Importance of Particle Density Calculation

Details: Accurate particle density calculation is crucial for understanding sediment behavior in fluids, designing hydraulic systems, predicting erosion patterns, and analyzing sedimentation processes in various engineering applications.

4. Using the Calculator

Tips: Enter impelling force in Newtons, particle volume in cubic meters, and liquid density in kg/m³. All values must be positive numbers with appropriate units.

5. Frequently Asked Questions (FAQ)

Q1: What is impelling force in this context?
A: Impelling force represents the effective weight of the particle in fluid, which is equal to the gravitational force minus the buoyant force acting on the particle.

Q2: Why is gravitational acceleration constant used?
A: The standard gravitational acceleration (9.80665 m/s²) is used to maintain consistency in calculations across different applications and locations.

Q3: What are typical density values for sediment particles?
A: Common sediment particles like quartz have densities around 2650 kg/m³, while organic particles may have lower densities around 1000-1500 kg/m³.

Q4: Can this formula be used for particles in gases?
A: While the fundamental physics applies, the formula is primarily designed for particles in liquids where buoyancy effects are significant.

Q5: What are the limitations of this calculation?
A: The calculation assumes spherical particles, neglects particle shape effects, and may not account for turbulent flow conditions or particle interactions.