Sphericity of Cylindrical Particle Calculator

✖Cylinder Radius is the radius of its base.ⓘ Cylinder Radius [R]			+10% -10%
✖Cylinder Height is the shortest distance between the 2 bases of a cylinder.ⓘ Cylinder Height [H]			+10% -10%

✖Sphericity of Cylindrical Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.ⓘ Sphericity of Cylindrical Particle [Φ_{cylindricalparticle}]

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Sphericity of Cylindrical Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))
Φ_{cylindricalparticle} = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Sphericity of Cylindrical Particle - Sphericity of Cylindrical Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.
Cylinder Radius - (Measured in Meter) - Cylinder Radius is the radius of its base.
Cylinder Height - (Measured in Meter) - Cylinder Height is the shortest distance between the 2 bases of a cylinder.

STEP 1: Convert Input(s) to Base Unit

Cylinder Radius: 0.025 Meter --> 0.025 Meter No Conversion Required
Cylinder Height: 0.11 Meter --> 0.11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_{cylindricalparticle} = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H)) --> (((((0.025)^2*0.11*3/4)^(1/3))^2)*4*pi)/(2*pi*0.025*(0.025+0.11))

Evaluating ... ...

Φ_{cylindricalparticle} = 0.820941472039316

STEP 3: Convert Result to Output's Unit

0.820941472039316 --> No Conversion Required

FINAL ANSWER

0.820941472039316 ≈ 0.820941 <-- Sphericity of Cylindrical Particle

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< Sphericity of Particles Calculators

Sphericity of Cuboidal Particle

LaTeX Go Sphericity of Cuboidal Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length))

Sphericity of Cylindrical Particle

LaTeX Go Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))

Sphericity of Particle

LaTeX Go Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)

Surface Shape Factor

LaTeX Go Surface Shape Factor = 1/Sphericity of Particle

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Energy Required to Crush Coarse Materials according to Bond's Law

LaTeX Go Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)

Number of Particles

LaTeX Go Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)

Mass Mean Diameter

LaTeX Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Sauter Mean Diameter

LaTeX Go Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle)

Sphericity of Cylindrical Particle Formula

LaTeX Go

Sphericity of a cylindrical particle

Sphericity of a cylindrical particle gives us an estimate of how closely it resembles a sphere. The closer it is to 1, the more it will resemble a sphere.

What is Particle Shape?

Particle form is the overall shape of particles, typically defined in terms of the relative lengths of the longest, shortest, and intermediate axes. Particles can be spherical, prismatic, or bladelike.

How to Calculate Sphericity of Cylindrical Particle?

Sphericity of Cylindrical Particle calculator uses Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)) to calculate the Sphericity of Cylindrical Particle, Sphericity of Cylindrical Particle gives the sphericity of a cylindrical particle by dividing the total surface area of an equivalent diameter sphere by the total surface area of the cylinder. Sphericity of Cylindrical Particle is denoted by Φ_{cylindricalparticle} symbol.

How to calculate Sphericity of Cylindrical Particle using this online calculator? To use this online calculator for Sphericity of Cylindrical Particle, enter Cylinder Radius (R) & Cylinder Height (H) and hit the calculate button. Here is how the Sphericity of Cylindrical Particle calculation can be explained with given input values -> 0.820941 = (((((0.025)^2*0.11*3/4)^(1/3))^2)*4*pi)/(2*pi*0.025*(0.025+0.11)).

FAQ

What is Sphericity of Cylindrical Particle?

Sphericity of Cylindrical Particle gives the sphericity of a cylindrical particle by dividing the total surface area of an equivalent diameter sphere by the total surface area of the cylinder and is represented as Φ_{cylindricalparticle} = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H)) or Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)). Cylinder Radius is the radius of its base & Cylinder Height is the shortest distance between the 2 bases of a cylinder.

How to calculate Sphericity of Cylindrical Particle?

Sphericity of Cylindrical Particle gives the sphericity of a cylindrical particle by dividing the total surface area of an equivalent diameter sphere by the total surface area of the cylinder is calculated using Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)). To calculate Sphericity of Cylindrical Particle, you need Cylinder Radius (R) & Cylinder Height (H). With our tool, you need to enter the respective value for Cylinder Radius & Cylinder Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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