Sphericity and Shape Analysis Exercise 3.3

<p>1 (A)</p> Signup and view all the answers

<p>55.926662 mm3 (C)</p> Signup and view all the answers

<p>$R = \frac{A_p}{A_c}$ (A), $R = \frac{A_p}{A_c}$ (F)</p> Signup and view all the answers

<p>Roundness Factor (B)</p> Signup and view all the answers

<p>Cylinder (C)</p> Signup and view all the answers

<p>How close the particle is to a sphere (C)</p> Signup and view all the answers

<p>It decreases the diffusion coefficient. (A)</p> Signup and view all the answers

<p>Different equivalent diameters result in different form factor values (C)</p> Signup and view all the answers

<p>The difference in pressure between the inside and outside of the food due to the removal of moisture. (D)</p> Signup and view all the answers

<p>The particle is almost perfectly spherical (E)</p> Signup and view all the answers

<p>The volume of the smallest sphere that encloses the particle (A)</p> Signup and view all the answers

<p>The shadow cast by the particle when illuminated from above (B)</p> Signup and view all the answers

<p>Particle size of the flour (C)</p> Signup and view all the answers

<p>Mass mean diameter (B)</p> Signup and view all the answers

<p>Formation of light and tender products (C)</p> Signup and view all the answers

<p>Differential analysis only (C)</p> Signup and view all the answers

<p>Unsatisfactory and incomplete sheets are formed (C)</p> Signup and view all the answers

<p>Volume surface mean diameter (D)</p> Signup and view all the answers

<p>When the number of particles is known (C)</p> Signup and view all the answers

<p>Sieve analysis (B)</p> Signup and view all the answers

<p>Heat and mass transfer calculations (C)</p> Signup and view all the answers

<p>Vernier calliper (C)</p> Signup and view all the answers

<p>Particle size distribution (B)</p> Signup and view all the answers

<p>The geometric shape of particles (B)</p> Signup and view all the answers

<p>They help describe individual and bulk materials (C)</p> Signup and view all the answers

<p>Grapefruit (A)</p> Signup and view all the answers

<p>Screening based on size and shape (A)</p> Signup and view all the answers

<p>Image analysis (B)</p> Signup and view all the answers

<p>To facilitate the movement of particles through screens (A)</p> Signup and view all the answers

<p>The size of particles that can pass through the screen (C)</p> Signup and view all the answers

<p>They are collected in a separate container (C)</p> Signup and view all the answers

<p>By dividing the weight of particles by the total weight (A)</p> Signup and view all the answers

<p>Particles passing through the 6-mesh and retained on the 8-mesh (A)</p> Signup and view all the answers

<p>Line graph of mass or number fraction versus particle size (A)</p> Signup and view all the answers

<p>It measures the size distribution of particles (B)</p> Signup and view all the answers

<p>American Society for Testing and Materials (ASTM) (B)</p> Signup and view all the answers

<p>0.87 mm (B)</p> Signup and view all the answers

<p>0.52 mm (B)</p> Signup and view all the answers

<p>Regular Octahedron (C)</p> Signup and view all the answers

<p>$A = 6a^2$ (A)</p> Signup and view all the answers

<p>$d_A = \sqrt{A/\pi}$ (A)</p> Signup and view all the answers

<p>0.74 mm (B)</p> Signup and view all the answers

<p>The quality control or processing line (C)</p> Signup and view all the answers

<p>Regular Tetrahedron (B)</p> Signup and view all the answers

Size and shape are crucial in food technology for factors like heat transfer and product quality.

A measure of how closely the shape of an object resembles a sphere.

A ratio representing the relationship between dimensions of an object to its overall size.

A geometric property describing the degree to which a shape resembles a circle.

Devices such as Vernier calipers and micrometers used to measure size accurately.

Diameters used to represent particles based on their geometry or volume.

The distribution of sizes of particles in a sample, crucial for quality control.

The total surface area of a material per unit mass, important for reactivity and processing.

A method to separate particles by size using a series of screens.

A number indicating the size of openings in a sieve, determining particle size.

The process of determining the proportion of each particle size after sieving.

Standard specifications set by ASTM for sieve sizes and testing procedures.

A device used to measure and analyze the distribution of particle sizes.

Describes the sizes and quantities of particles within a sample.

A method to plot the fraction of particles in size increments against their average size.

A specific particle size separation, e.g., 6/8 meaning passing through 6-mesh but retained on 8-mesh.

A measure of particle shape ranging from 0 (needle) to 1 (spherical).

The values of Wadell sphericity can range from 0 to 1, indicating different shapes.

Defined as the ratio of projected area to the area of the smallest circumscribed circle.

The largest two-dimensional area visible when observing a three-dimensional particle.

The area of the smallest circle that can completely encompass the particle.

A specific sphericity measure using ratios for defining particle shape characteristics.

Sphericity calculations can include volume ratio, diameter ratio, and Wadell’s sphericity factor.

The diameter of a sphere with the same volume as a cube with edge length 0.70 mm is 0.87 mm.

The diameter of a sphere with the same volume as a tetrahedron with edge length 0.70 mm is 0.43 mm.

The diameter of a sphere with the same volume as an octahedron with edge length 0.70 mm is 0.68 mm.

The diameter of a sphere with the same surface area as a cube with edge length 0.70 mm is 0.97 mm.

The diameter of a sphere with the same surface area as a tetrahedron with edge length 0.70 mm is 0.52 mm.

The diameter of a sphere with the same surface area as an octahedron with edge length 0.70 mm is 0.74 mm.

Average diameter of particles based on their mass.

Average diameter calculated from the number of particles.

Average diameter calculated based on the volume of particles.

A method to determine particle size distribution using screens.

A measure that represents the average diameter based on surface area.

A method that analyzes size distribution based on mass fraction.

A method that aggregates size distributions of particles in a group.

Effectiveness of crushing materials to achieve desired particle size.

The ratio of the volume of a solid sample to that of a circumscribed sphere.

The average value of various diameter measurements of the sample.

Formula involving the diameter and volume to assess sphericity.

The decrease in volume of food due to moisture removal during processing.

Influences the diffusion coefficient and drying rate of food materials.

The difference in pressure between the inside and outside of food causing shrinkage.

Stresses generated during drying that cause material to shrink or collapse.

Mathematical expression to determine volume in relation to sphericity.