Consider the U-tube manometer shown in the figure below. Both ends of the U-tube manometer are open to atmospheric pressure. The left and right arms of the manometer have radii of r1 = 2 cm and r2 = 1 cm, respectively. The left figure illustrates the U-tube when mercury (ρHg = 13.6 g/cm3) is poured into it. The right figure shows the U-tube manometer when 80.0 mL of water is poured into the right arm. (a) Determine the length of the water column in the right arm of the manometer (b) the distance h the mercury rise in the left arm of the manometer
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.
Consider the U-tube manometer shown in the figure below. Both ends of the U-tube manometer are open to atmospheric pressure. The left and right arms of the manometer have radii of r1 = 2 cm and r2 = 1 cm, respectively. The left figure illustrates the U-tube when mercury (ρHg = 13.6 g/cm3) is poured into it. The right figure shows the U-tube manometer when 80.0 mL of water is poured into the right arm.
(a) Determine the length of the water column
in the right arm of the manometer
(b) the distance h the mercury rise in the left arm
of the manometer
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