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Sphericity of Cylindrical Particle Calculator

Formula

The formula to calculate the Sphericity of a Cylindrical Particle is:

$\Phi_{\text{cylindrical particle}} = \frac{((R^2 \cdot H \cdot \frac{3}{4})^{\frac{1}{3}})^2 \cdot 4\pi}{2\pi R (R + H)}$

Definition

Sphericity of a Cylindrical Particle is a measure of how closely the shape of an object resembles that of a perfect sphere. Cylinder Radius is the radius of its base. Cylinder Height is the shortest distance between the two bases of a cylinder.

Example Calculation

Let's assume the following values:

Cylinder Radius = 0.025 meters
Cylinder Height = 0.11 meters

Using the formula:

$\Phi_{\text{cylindrical particle}} = \frac{((0.025^2 \cdot 0.11 \cdot \frac{3}{4})^{\frac{1}{3}})^2 \cdot 4\pi}{2\pi \cdot 0.025 \cdot (0.025 + 0.11)} \approx 0.820941472039316$

The Sphericity of the Cylindrical Particle is approximately 0.820941472039316.

Conversion Chart

Cylinder Radius (meters)	Sphericity
0.02	0.791405882930906
0.021	0.798241735133328
0.022	0.804574487171359
0.023	0.810445096710438
0.024	0.815889937430951
0.025	0.820941472039316
0.026	0.825628803468034
0.027	0.829978130190831
0.028	0.834013125299174
0.029	0.837755254398345