Basements that are prone to flooding are generally equipped with a sump pump, as illustrated in the image. (For purposes of illustration, the house above the basement has been removed, and dimensions have been distorted.) Water is diverted from the foundation, or wherever it seeps into the basement, to a small well in the floor. When needed, the submerged pump automatically switches on, pumping the water a height HH above the pump through a pipe with diameter dd. The pipe carries the water over the basement wall where it loses height hh and connects to a wider pipe, with diameter DD, parallel to the ground. (Note the use of both lower-case and upper-case letters.) When the pump is operating, the flow rate is 0.629L/s0.629L/s with an output pressure of 1.57×105Pa1.57×105Pa. Part (a) The water enters the pipe with an inside diameter d=3.43cmd=3.43cm and rises to a maximum height H=2.14mH=2.14m above the pump. What is the pressure, in pascals, at the maximum height? (Neglect frictional losses.) Part (b) The pipe carries the water over the basement wall where it loses h=0.61mh=0.61m in height and widens to a diameter of D=6.71cmD=6.71cm. What is the pressure, in pascals, in the wider pipe? (Neglect frictional losses.)
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.
Basements that are prone to flooding are generally equipped with a sump pump, as illustrated in the image. (For purposes of illustration, the house above the basement has been removed, and dimensions have been distorted.) Water is diverted from the foundation, or wherever it seeps into the basement, to a small well in the floor. When needed, the submerged pump automatically switches on, pumping the water a height HH above the pump through a pipe with diameter dd. The pipe carries the water over the basement wall where it loses height hh and connects to a wider pipe, with diameter DD, parallel to the ground. (Note the use of both lower-case and upper-case letters.) When the pump is operating, the flow rate is 0.629L/s0.629L/s with an output pressure of 1.57×105Pa1.57×105Pa.
Part (a) The water enters the pipe with an inside diameter d=3.43cmd=3.43cm and rises to a maximum height H=2.14mH=2.14m above the pump. What is the pressure, in pascals, at the maximum height? (Neglect frictional losses.)
Part (b) The pipe carries the water over the basement wall where it loses h=0.61mh=0.61m in height and widens to a diameter of D=6.71cmD=6.71cm. What is the pressure, in pascals, in the wider pipe? (Neglect frictional losses.)
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