Question #42014

A large open rectangular tank of length $L = 4 \text{ m}$ contains water of density $\rho = 10^3 \text{ kg/m}^3$. The tank is accelerated horizontally along its length with a constant acceleration $a = 7.5 \text{ m/s}^2$. A pressure gauge is attached at the bottom-front corner of the tank (point A, towards the direction of acceleration). The gauge is calibrated to measure gauge pressure but has a positive zero error of $4 \text{ kPa}$. During the motion, the gauge reads $24 \text{ kPa}$. If a small orifice is suddenly opened at the bottom-rear corner of the tank (point B), what is the velocity of efflux of water relative to the tank? (Assume ideal fluid behavior, $g = 10 \text{ m/s}^2$, and the water does not spill over).