Measuring Hydrostatic Pressure using U-tube Manometer

Assignment Task

Question

(a) A rectangular water tank is 2.5 m by 1.5 m in plan with a horizontal base.

(i) Calculate the time taken in hours to fill the tank to a depth of 0.9 m through a 20 mm diameter pipe if the velocity in the pipe is 0.5 m/s.

(ii) Calculate the hydrostatic force on the base of the tank when the water is 0.9 m deep. 

(iii) Calculate the force on one of the shorter sides of the tank when the water is 0.9 m deep. 

(iv) The depth is adjusted so that the centres of pressure on the sides are now 0.4 metres below the surface water level. Calculate the change in water volume. 

(b) A 'U' tube manometer shown in the Figure below is used to measure the pressure in a pipe which carries oil of relative density 0.88. The lower manometer liquid is mercury of relative density 13.6. The surface separation between the Oil and Mercury is 0.93 m below the centreline of the pipe. Take atmospheric pressure as 101 kN/m2. What is the gauge pressure at Point A if 'h' is 37 mm. 

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