Conceptual Questions:
1. Comment on how Bernoulli's equation relates to conservation of mechanical energy.
Numerical Problems: answers link to a help page.
1. The flow rate of blood through the average human aorta, of radius 1.0 cm, is about 90 cm3/s. What is the velocity of the blood flow through the aorta?
2. Water (density = 1000 kg/m3) flows at 15 m/s through a pipe with radius 0.04 m. The pipe goes up to the second floor of the building, 3 m higher, and the pressure remains unchanged. What must be the speed of the water flow on the second floor? (Conceptual: to keep the pressure constant, what must happen to the pipe size?)
3. Air pressure is 1 x105 N/m2, air density is 1.3 kg/m3, and the density of soft drinks is 1000 kg/m3. If one blows carefully across the top of a straw sticking up 0.10 m from the liquid in a soft drink can, it is possible to make the soft drink rise half way up the straw and stay there. How fast must the air be blown across the top of the straw?
4. A hole is poked through the metal side of a drum holding water. The hole is 18 cm below the water surface. What is the initial velocity of outflow?
5. Water pressurized to 3 x105 Pa is flowing at 5 m/s in a pipe which then contracts to 1/3 of its former area. What is the pressure and velocity of the water after the contraction?
6. A fountain sends water to a height of 100 meters. What must be the pressurization (above atmospheric) of the underground water system? 1 ATM = 105 N/m2.
7. The Garfield Thomas water tunnel at Pennsylvania State University has a circular cross-section which constricts from a diameter of 3.6 m to the test section, which is 1.2 m in diameter. If the velocity of flow is 3 m/s in the large-diameter pipe, determine the velocity of flow in the test section.