First slide

Fluid dynamics

Question

When air of density 1.3 kg/m³ flows across the top of the tube shown in the accompanying figure, water rises in the tube to a height of 1.0 cm. The speed of the air (in m/s) is ______

Moderate

Solution

$\begin{array}{l} \frac{1}{2} ρ_{air} v^{2} = ρ_{w} g h_{w} \\ v = \sqrt{\frac{2 ρ_{w} g h_{w}}{ρ_{air}}} = \sqrt{\frac{2 \times 10^{3} \times 10 \times 10^{- 2}}{1.3}} = 12.4 m / s \end{array}$

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