Chapter 14: Q15P (page 407)
What gauge pressure must a machine produce in order to suck mud of density 1800 kg/m3up a tube by a height of 1.5 m?
Short Answer
Gauge pressure to suck the mud is
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Chapter 14: Q15P (page 407)
What gauge pressure must a machine produce in order to suck mud of density 1800 kg/m3up a tube by a height of 1.5 m?
Gauge pressure to suck the mud is
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An office window has dimensions by. As a result of the passage of a storm, the outside air pressure drops to, but inside the pressure is held at. What net force pushes out on the window?
Figure shows an anchored barge that extends across a canal by distance d=30 mand into the water by distance b=12 m. The canal has a widthD=55 m, a water depth H=14 m , and a uniform water flow speed . Assume that the flow around the barge is uniform. As the water passes the bow, the water level undergoes a dramatic dip known as the canal effect. If the dip has depth h=0.80 m , what is the water speed alongside the boat through the vertical cross sections at (a) point a and if the dip has depth h=0.80 m , what is the water speed alongside the boat through the vertical cross sections at (b) point b? The erosion due to the speed increase is a common concern to hydraulic engineers.

A venturi meter is used to measure the flow speed of a fluid in a pipe. The meter is connected between two sections of the pipe (Figure); the cross-sectional area of the entrance and exit of the meter matches the pipe's cross-sectional area. Between the entrance and exit, the fluid flows from the pipe with speed and then through a narrow "throat" of cross-sectional area a with speed . A manometer connects the wider portion of the meter to the narrower portion. The change in the fluid's speed is accompanied by a change in the fluid's pressure, which causes a height difference of the liquid in the two arms of the manometer. (Here means pressure in the throat minus pressure in the pipe.) (a) By applying Bernoulli's equation and the equation of continuity to points 1 and 2 in Figure, show that , where is the density of the fluid.
(b) Suppose that the fluid is fresh water, that the cross-sectional areas are in the pipe and in the throat, and that the pressure is in the pipe and in the throat. What is the rate of water flow in cubic meters per second?

Suppose that two tanks, and , 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 has half the cross-sectional area of the hole in tank localid="1661534674200" .
(a) What is the ratio localid="1661534677105" of the densities of the liquids if the mass flow rate is the same for the two holes?
(b) What is the ratio localid="1661534679939" from the two tanks?
(c) At one instant, the liquid in tank localid="1661534683116" is localid="1661534686236" above the hole. If the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank localid="1661534690073" be just then?
The intake in Figure has cross-sectional area ofand water flow at . At the outlet, distance below the intake, the cross-sectional area is smaller than at the intake, and the water flows out at into the equipment. What is the pressure difference between inlet and outlet?

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