Allied & ICAR Exam Bank • ALLIED_0358 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics in SWCE

Subtopic: Fluid Mechanics in SWCE

Question Statement:

A sharp-crested rectangular weir has length $L = 1.5\text{ m}$ and coefficient of discharge $C_d = 0.62$. For a head $H = 0.25\text{ m}$ over the crest (ignoring velocity of approach and contractions, $g = 9.81\text{ m/s}^2$), the discharge in $\text{m}^3/\text{s}$ is (rounded off to three decimal places):

Answer Key:

0.343

Step-by-Step Solution & Explanation

$Q = \frac{2}{3}(0.62)(1.5)\sqrt{19.62}(0.25)^{1.5} = 0.62 \times 4.42944 \times 0.125 = 0.3433\text{ m}^3/\text{s}$.
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