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A circular pipe of diameter 60 cm carries a discharge of 2.5 m3/s. What velocity of flow (m/s) through the pipe?

  • A.2.5 m/s
  • B.5.67 m/s
  • C.8.83 m/s
  • D.12.32 m/s

Answer: C

The velocity of flow is 8.83 m/s.

Velocity is discharge divided by the cross-sectional area:

\[ \begin{aligned} A &= \frac{\pi}{4} (0.6)^2 = 0.2827\ \text{m}^2 \\ V &= \frac{2.5}{0.2827} = 8.84\ \text{m/s} \end{aligned} \]

The paper's 8.83 m/s is the same value rounded. Taking 0.6 m as the radius would give 2.21 m/s, and 2.5 m/s simply repeats the discharge figure. 5.67 and 12.32 m/s match no correct step.

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