A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 18.4 m below the water level. If the rate of flow from the leak is 2.60 x 10-3 m/min, determine the following. (a) Determine the speed at which the water leaves the hole. m/s (b) Determine the diameter of the hole. mm
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
According to Bernoulli's equation of motion,
P+=constant
where P=pressure energy per unit volume
=density of fluid
V=speed of fluid
h=Height
g=acceleration due to gravity
P 1+
Volume flow rate, Q=AV
where A= area
V=speed
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