Volume Of Particle Given Impelling Force Calculator

Formula Used:

\[ V_p = \frac{F}{(\rho_p - \rho_{liquid}) \times [g]} \]

Volume of One Particle (Vp):

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1. What is Volume of Particle Given Impelling Force?

The volume of a particle given impelling force calculates the capacity of a single particle based on the effective weight of the particle in fluid. This calculation is essential in sedimentation and fluid mechanics applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_p = \frac{F}{(\rho_p - \rho_{liquid}) \times [g]} \]

Where:

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

Explanation: The formula calculates particle volume by dividing the impelling force (effective weight in fluid) by the product of density difference and gravitational acceleration.

3. Importance of Particle Volume Calculation

Details: Accurate particle volume calculation is crucial for sedimentation analysis, particle size distribution studies, and designing separation processes in various industrial applications.

4. Using the Calculator

Tips: Enter impelling force in Newtons, densities in kg/m³. The particle density must be greater than liquid density for valid results. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is impelling force?
A: Impelling force is equal to the effective weight of the particle in fluid, representing the net force causing sedimentation.

Q2: Why must particle density be greater than liquid density?
A: For sedimentation to occur, the particle must be denser than the fluid. Otherwise, it would float rather than settle.

Q3: What are typical units for particle volume?
A: Particle volume is typically measured in cubic meters (m³), though smaller particles may use cubic centimeters or cubic millimeters.

Q4: Can this formula be used for irregularly shaped particles?
A: The formula assumes spherical particles. For irregular shapes, equivalent spherical diameter concepts are often used.

Q5: What applications use this calculation?
A: This calculation is used in water treatment, mining, chemical processing, and environmental engineering for particle separation and analysis.