Chapter 11. Bernouli's equation (11-27)

Question

iD9KHN1Zl679fX/D8PIVigLo7yBD7pgYWE/8W7A3DOCBZjKV1QPmNYiwtAZvIvBu
{"title":"Fluid pressure at a given point in the fluid","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,8,10,29\"}]"} {"title":"Speed of the fluid at that point","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"55,10,65,23\"}]"} {"title":"Vertical coordinate of that point","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"102,10,112,25\"}]"} {"title":"Acceleration due to gravity","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"94,11,102,28\"}]"} {"title":"Density of the fluid (uniform throughout the fluid)","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"44,12,54,27\"},{\"shape\":\"rect\",\"coords\":\"82,12,94,28\"}]"}

Question

5CPScj+06fsYklCLqTrJ3jCYde0xSSQhBgSDSqYfUlOcQhjL
{"title":"Fluid pressure at a given point in the fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,8,10,29\"}]"} {"title":"Speed of the fluid at that point","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"55,10,65,23\"}]"} {"title":"Vertical coordinate of that point","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"102,10,112,25\"}]"} {"title":"Acceleration due to gravity","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"94,11,102,28\"}]"} {"title":"Density of the fluid (uniform throughout the fluid)","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"44,12,54,27\"},{\"shape\":\"rect\",\"coords\":\"82,12,94,28\"}]"}

Question

9IUbJu1Rw9HN2zhay7nz5nnG1OGwyDtuJTtzgMg5dYoHsEz09SIhfw==
{"title":"Fluid pressure at a given point in the fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,8,10,29\"}]"} {"title":"Speed of the fluid at that point","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"55,10,65,23\"}]"} {"title":"Vertical coordinate of that point","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"102,10,112,25\"}]"} {"title":"Acceleration due to gravity","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"94,11,102,28\"}]"} {"title":"Density of the fluid (uniform throughout the fluid)","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"44,12,54,27\"},{\"shape\":\"rect\",\"coords\":\"82,12,94,28\"}]"}

Question

XXY/uoS8J7GW6if80S856+Vf+vUvDxAjJexmC/oJu8o=
{"title":"Fluid pressure at a given point in the fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,8,10,29\"}]"} {"title":"Speed of the fluid at that point","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"55,10,65,23\"}]"} {"title":"Vertical coordinate of that point","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"102,10,112,25\"}]"} {"title":"Acceleration due to gravity","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"94,11,102,28\"}]"} {"title":"Density of the fluid (uniform throughout the fluid)","description":"Incorrect","type":"incorrect","color":"#333333","code":"[{\"shape\":\"rect\",\"coords\":\"44,12,54,27\"},{\"shape\":\"rect\",\"coords\":\"82,12,94,28\"}]"}

Question

NwIkTk6YcKX0TLyYbkN0yfFi0wOvpHnDHab8sHj8qfCPRp491dzY+1uMU62VabDLWM8ZTHjkWdo=
{"title":"Fluid pressure at a given point in the fluid","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"rect\",\"coords\":\"1,8,10,29\"}]"} {"title":"Speed of the fluid at that point","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"55,10,65,23\"}]"} {"title":"Vertical coordinate of that point","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"poly\",\"coords\":\"113,132\"},{\"shape\":\"rect\",\"coords\":\"195,33,199,34\"},{\"shape\":\"poly\",\"coords\":\"132,99\"},{\"shape\":\"rect\",\"coords\":\"102,10,112,25\"}]"} {"title":"Acceleration due to gravity","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"94,11,102,28\"}]"} {"title":"Density of the fluid (uniform throughout the fluid)","description":"Correct!","type":"correct","color":"#800000","code":"[{\"shape\":\"rect\",\"coords\":\"44,12,54,27\"},{\"shape\":\"rect\",\"coords\":\"82,12,94,28\"}]"}

Review

An idealized fluid has the same value of \(p + \frac{1}{2}pv^2 + pgy\) at \(\textit{all}\) points in the fluid. Put another way, points 1 and 2 in Equation 11-26 could be any two points in the fluid. Our final result is \(\textbf{Bernoulli’s equation}\):