Allied & ICAR Exam Bank • ALLIED_1253 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Engineering Properties of Grains

Subtopic: Sphericity

Question Statement:

An agricultural seed has principal axial dimensions: length $a = 8.0\text{ mm}$, width $b = 4.0\text{ mm}$, and thickness $c = 2.0\text{ mm}$. The geometric mean diameter is $D_g = (a b c)^{1/3} = (8 \times 4 \times 2)^{1/3} = (64)^{1/3} = 4.0\text{ mm}$. The sphericity of the seed ($\phi = D_g / a$) is:

Answer Key:

0.50

Step-by-Step Solution & Explanation

$\phi = \frac{(a b c)^{1/3}}{a} = \frac{4.0\text{ mm}}{8.0\text{ mm}} = 0.50$.
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