Question Bank • QB_APE_GATE_004 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Storage Systems

Subtopic: Godowns, bins and grain silos

Question Statement:

A belt conveyor carries grain of bulk density $750\text{ kg/m}^3$ across a cross-sectional area of $0.030\text{ m}^2$ at a belt speed of $1.5\text{ m/s}$. The conveying capacity is ________ $\text{tonnes/h}$ (round off to 1 decimal place).

Answer Key:

121.5

Step-by-Step Solution & Explanation

Conveyor Capacity: $\dot{m} = A \cdot v \cdot \rho_b = 0.030 \times 1.5 \times 750 = 33.75\text{ kg/s}$ $\text{Capacity} = \frac{33.75 \times 3600}{1000} = 121.5\text{ tonnes/h}$ Rounding to 1 decimal place: **121.5** $\text{tonnes/h}$.
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