A bucket elevator lifts paddy of bulk density840 kg/m³ at2 m/s. Bucket width25.4 cm; cross-section is a75° circular sector of radius12.7 cm. Bucket spacing40 cm and fill80%. Find capacity in kg/min (two decimals).
Sector area=(75/360)π(0.127)² m². Bucket volume is area×0.254 and filled volume80% of that. Passing rate is2/0.40=5 buckets/s. Capacity=volume×0.8×840×5×60≈540.6 kg/min. The stated sector shape uses θr²/2 rather than a circular-segment subtraction.
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