Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. A small hole is made in the side of each tank at the same depth h below the liquid surface, but the hole in tank 1 has half the cross-sectional area of the hole in tank 2. (a) What is the ratio r1/r2 of the densities of the liquids if the mass flow rate is the same for the two holes? (b) What is the ratio RV1/RV2 of the volume flow rates from the two tanks? (c) At one instant, the liquid in tank 1 is 12.0 cm above the hole. If the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?
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.
Suppose that two tanks, 1 and 2, each with a large opening at
the top, contain different liquids. A small hole is made in the side of
each tank at the same depth h below the liquid surface, but the
hole in tank 1 has half the cross-sectional area of the hole in tank 2.
(a) What is the ratio r1/r2 of the densities of the liquids if the mass
flow rate is the same for the two holes? (b) What is the ratio
RV1/RV2 of the volume flow rates from the two tanks? (c) At one instant,
the liquid in tank 1 is 12.0 cm above the hole. If the tanks are
to have equal volume flow rates, what height above the hole must
the liquid in tank 2 be just then?
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