First slide

Fluid dynamics

Question

Water contained in a tank flows through an orifice of diameter 2 cm, under a constant pressure difference of 10cm of water column. The rate of flow of water through the orifice

Easy

A

44 cc/s
B

4.4 cc/s
C

440 cc/s
D

4400cc/s

Solution

d = 2cm; r = 1cm; h = 10cm
$\large \frac vt=Av = \pi r^2\sqrt {2gh}$
$\large =3.14\times 1\times \sqrt {2\times 980\times 10}\;cm^3/s$
$\large =440\; c.c/sec$

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