The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of the pool. The opening is about h = 1.01 m below the water level. The capacity of the pool is V = 3760 gallons, the pool can be drained in t = 12 mins. P0 is the pressure of the atmosphere. ρ is the density of the water. a) Express v2 in terms of g and h. b) Express the flow rate of the water in terms of V and t. c)Express the cross-sectional area of the opening, A, in terms of V, v and t.
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.
The water of a 14’ × 48’ metal frame pool can drain from the pool through an opening at the side of the pool. The opening is about h = 1.01 m below the water level. The capacity of the pool is V = 3760 gallons, the pool can be drained in t = 12 mins. P0 is the pressure of the atmosphere. ρ is the density of the water.
a) Express v2 in terms of g and h.
b) Express the flow rate of the water in terms of V and t.
c)Express the cross-sectional area of the opening, A, in terms of V, v and t.
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