GATE AG 2019 • Q34 NAT • 1 Mark

Section 6: Agricultural Process Engineering

Processing of Agriculture Produce

Subtopic: Processing of seeds, spices, fruits and vegetables

Question Statement:

Processing of Agriculture Produce: Processing of seeds, spices, fruits and vegetables; value addition of agriculture produce. In a rubber roll sheller, 250 mm diameter rolls are set at a clearance of 1 mm. If the mean thickness of paddy grains being shelled is 2 mm, the length of the husking zone (mm) (rounded to 2 decimals) is ______.

Official Answer Key:

22.20 to 22.35

Step-by-Step Solution & Explanation

For two rubber rolls of radius R (=125 mm each) set at clearance c, with grain thickness t entering the nip, the local gap between the roll surfaces at a horizontal distance x from the point of minimum clearance is approximately g(x) ≈ c + x²/R (parabolic roll-surface approximation). The husking (contact) zone extends from where g(x) = t on one side to the symmetric point on the other side: x² = R(t − c) ⟹ x = √[R(t−c)] = √[125×(2−1)] = √125 = 11.18 mm. Total husking-zone length (both sides of the nip) = 2x = 2 × 11.18 = 22.36 mm. Answer: within 22.20–22.35.

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