Fluid Statics
Example 4:
A pipe connected with a tank (diameter 3 m) has an inclination of q with the horizontal and the diameter of the pipe is 20 cm. Determine the angle ? which will give a deflection of 5 m in the pipe for a gauge pressure of 1 m water in the tank. Liquid in the tank has a specific gravity of 0.88.
Solution :

Given data: Diameter of tank = 3 m
Diameter of tube = 20 cm
Deflection in the pipe, L = 5 m
From the figure shown
h = L sin q
If X m fall of liquid in the tank rises L m in the tube. (Note that the volume displaced is the same in the tank is equal to the volume displaced in the pipe)

                        
Difference of head = x + h = L sin q + 0.04 L/9
And       
Substitute L = 5m in the above equation.
Answer: q = 12.87 0

Fig. Ex4
 
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