Question

A leakage begins in water tank at position $P$ as shown in the figure. The initial gauge pressure pressure above that of the atmosphere) at $P$ was $5\times {10}^{5}N/m^2$ .If the density of water is $1000kg/m^3$ the initial velocity with which water gushes out is:

• A. $3.2m{s}^{-1}$
• B. $32m{s}^{-1}$
• C. $28m{s}^{-1}$
• D. $2.8m{s}^{-1}$

Answer 1

The correct option is B $32m{s}^{-1}$

$\Delta p=\frac{1}{2}\rho v^2$
$\therefore$ $v=\sqrt{\frac{2\Delta P}{\rho }}=\sqrt{\frac{2\times 5\times {10}^5}{1000}}=31.5m/s$