GATE AG 2020 • Q64 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Size Reduction and Material Handling

Subtopic: Fluidization of granular solids – pneumatic, bucket, screw and belt conveying

Question Statement:

A bucket elevator lifts parboiled paddy (bulk density 840 kg/m³) at belt speed 2 m/s. Bucket width = 25.4 cm; its cross-section subtends 75° at the center of a 12.7 cm radius circle. Bucket spacing = 40 cm; buckets filled to 80% of capacity. Find the lifting capacity (kg/min). (Rounded to 2 decimal places)

Official Answer Key:

538.00 to 542.00

Step-by-Step Solution & Explanation

Bucket cross-sectional (sector) area = (75/360)×π×(12.7)² = 105.56 cm². Bucket volume = 105.56×25.4 = 2681.2 cm³. Effective (80% fill) volume = 2144.9 cm³ = 2.1450×10⁻³ m³. Buckets discharged per second = belt speed/spacing = 2/0.40 = 5/s. Volumetric flow = 5×2.1450×10⁻³ = 0.010725 m³/s. Mass flow = 0.010725×840 = 9.009 kg/s = 540.5 kg/min.

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