1. A soft drink (mostly water) flows in a pipe at a beverage plant with a mass flow rate that would fill 220 0.355-L cans per minute. At point 2 in the pipe, the gauge pressure is 152 kPa and the cross-sectional area is 8.00 cm2. At point 1, 1.35 m above point 2, the cross-sectional area is 2.00 cm2. Find the gauge pressure at point 1.
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.
1. A soft drink (mostly water) flows in a pipe at a beverage plant
with a mass flow rate that would fill 220 0.355-L cans per minute. At
point 2 in the pipe, the gauge pressure is 152 kPa and the cross-sectional
area is 8.00 cm2. At point 1, 1.35 m above point 2, the cross-sectional
area is 2.00 cm2. Find the gauge pressure at point 1.
2. In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16×10^8 Pa, (about 1.15x10^3 atm). (A) If a cubic meter of water is taken from the surface to this depth, what is the change in its volume? (normal atm pressure is about 1.0x10^5 P). Assume that k for seawater is the same as for freshwater (B) At the surface, seawater has a density of 1.03×10^3 kg/m^3. What is the density of seawater at the depth of the Challenger Deep?
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