Atomiser

A spray gun is shown in the figure where a piston pushes air out of nozzle. A thin tube of uniform cross section is connected to the nozzle. On the other end of the tube a small liquid container containing water is fixed. As the piston pushes the air out, the liquid from the container rises into the nozzle and is sprayed out. The radii of the piston and the nozzle are $30mm$ and $1mm$ respectively. Find the velocity of the water spray at point $A$ (in $m/s$ ) if the piston is pushed at $10cms^{-1}$ .

$Given:$

• $h$ $=$ $10cm$

• $\rho_{air}$ $=$ $1.225kgm^{-3}$

• $\rho_{water}$ $=$ $1000kgm^{-3}$

• $g$ $=$ $10ms^{-2}$

• $P_{atm}$ $=$ $10^{5}Pa$