Allied & ICAR Exam Bank • ALLIED_0471 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Gully Control and Drop Spillways

Subtopic: Gully Control and Drop Spillways

Question Statement:

The discharge capacity of a straight drop spillway weir is given by $Q = C L H^{3/2}$. For discharge coefficient $C = 1.7$, weir length $L = 4.0\text{ m}$, and head $H = 0.8\text{ m}$ ($0.8^{1.5} \approx 0.7155$), the discharge capacity $Q$ in $\text{m}^3/\text{s}$ is (rounded off to two decimal places):

Answer Key:

4.87

Step-by-Step Solution & Explanation

$Q = 1.7 \times 4.0 \times 0.71554 = 6.8 \times 0.71554 = 4.8657\text{ m}^3/\text{s} \approx 4.87\text{ m}^3/\text{s}$.
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