Allied & ICAR Exam Bank • ALLIED_1200 NAT • 1 Mark

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics in SWCE

Subtopic: Continuity Equation

Question Statement:

Water flows steadily through a pipe that transitions from diameter $D_1 = 0.4\text{ m}$ to $D_2 = 0.2\text{ m}$. If the flow velocity in the 0.4 m pipe is $V_1 = 1.5\text{ m/s}$, the velocity $V_2$ in the 0.2 m pipe in m/s is:

Answer Key:

6.0

Step-by-Step Solution & Explanation

By continuity equation: $A_1 V_1 = A_2 V_2 \implies V_2 = V_1 \left(\frac{D_1}{D_2}\right)^2 = 1.5 \times \left(\frac{0.4}{0.2}\right)^2 = 1.5 \times 4 = 6.0\text{ m/s}$.
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