First slide

Fluid dynamics

Question

An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then:

Easy

A

the water in the tube rises to height $\frac{u^{2}}{2 g}$
B

the water in the tube rises to height g/2u²
C

the water in the tube does not rise at all
D

none of the above

Solution

KE per unit volume = PE per unit volume
$\frac{1}{2} {ρu}^{2} = ρgh \Rightarrow h = \frac{u^{2}}{2 g}$

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