A sealed tank containing seawater to a height of 10.5 mm also contains air above the water at a gauge pressure of 2.95 atmatm. Water flows out from the bottom through a small hole. How fast is this water moving?

The water is flowing at the rate of 28.04 m/s.

Explanation:

Given;

Height of sea water, z₁ = 10.5 m

gauge pressure, = 2.95 atm

Atmospheric pressure, = 101325 Pa

To determine the speed of the water, apply Bernoulli's equation;

where;

P₁ =

P₂ =

v₁ = 0

z₂ = 0

Substitute in these values and the Bernoulli's equation will reduce to;

where;

is the density of seawater = 1030 kg/m³

Therefore, the water is flowing at the rate of 28.04 m/s.