(50%) Problem 2: The water of a 14' x 48' metal frame pool can drain from the pool through an opening at the side of the pool. The opening is
about $h = 1.04$ m below the water level. The capacity of the pool is $V = 3820$ gallons, the pool can be drained in $t = 15$ mins. $P_o$ is the pressure of
the atmosphere. $\rho$ is the density of the water.
14% Part (a) Write the Bernoulli's equation of the water at the top of the pool in terms of $P_o$, $\rho$, $g$, $h$. Assuming the opening is the origin.
14% Part (b) Write the Bernoulli's equation of the water at the opening of the pool in terms of $P_o$, $\rho$, $g$, $h$ and $v$, where $v$ is the speed at which the water
leaves the opening. Assuming the opening is the origin.
14% Part (c) Express $v^2$ in terms of $g$ and $h$.
14% Part (d) Calculate the numerical value of $v$ in meters per second.
14% Part (e) Express the flow rate of the water in terms of $V$ and $t$.
14% Part (f) Express the cross-sectional area of the opening, $A$, in terms of $V$, $v$ and $t$.
14% Part (g) Calculate the numerical value of $A$ in $cm^2$
