A cylindrical tank is folly filled with water (Fig. P3-67). In order to increase the flow from the tank, an additional pressure is applied to the water surface by a compressor. For
The hydrostatic force on the surface (A) exerted by water.
Answer to Problem 67P
The hydrostatic force on the surface (A) exerted by water for air pressure
The hydrostatic force on the surface (A) exerted by water for air pressure
The hydrostatic force on the surface (A) exerted by water for air pressure
Explanation of Solution
Given information:
The pressure applied to the water by compressor are
Write the expression for the pressure exerted by the fluid.
Density of the fluid is
Substitute
Here, diameter of the pipe is
Write the expression for total pressure exerted on the surface.
Here, air pressure is
Substitute
Write the expression for the area of the surface
Here the diameter of the pipe is
Write the expression for the force acting on the surface
Substitute
Calculation:
For air pressure
Substitute
Substitute
For air pressure
Substitute
Substitute
For air pressure
Substitute
Substitute
Conclusion:
The hydrostatic force on the surface (A) exerted by water for air pressure
The hydrostatic force on the surface (A) exerted by water for air pressure
The hydrostatic force on the surface (A) exerted by water for air pressure
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