Fluid MechanicsMedium
Question
A water spray gun is attached to a hose of cross-sectional area $30{\text{ }cm}^{2}$. The gun comprises of 10 perforations each of cross-sectional area of $15{\text{ }mm}^{2}$. If the water flows in the hose with the speed of $50\text{ }cm/s$, calculate the speed at which the water flows out from each perforation. (Neglect any edge effects)
Options
A.$100\text{ }m/s$
B.$10\text{ }m/s$
C.$1000\text{ }m/s$
D.$15 \times 10^{2}\text{ }m/s$
Solution
Sol. [Key Concept: Equation of continuity $A\ V = (10a)\ v$; so $v = \frac{AV}{10a}$.]
Using equation of continuity
AV = 10av
$$v = \frac{AV}{10a} = \frac{30 \times 50}{10 \times .15} = 1000\text{ }cm/s = 10\text{ }m/s $$
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