midterm09 - Name ENGG1010(2010-2011 First Semester Mid-Term...

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Name: U. No.: ENGG1010 (2010-2011) First Semester Mid-Term Test Question on fluid mechanics Instructions Write your answers in the space provided, and hand in this sheet upon completion of the test. As shown below, an underwater tunnel is closed by a circular gate AB , which is supported only by a horizontal hinge passing through its center. Find the moment to be applied at the hinge to keep the gate in equilibrium. Take density of water = 1,000 kg/m 3 , and acceleration due to gravity = 9.81 m/s 2 . B A hinge water 3 m B front view A 4 m air sectional view Area of the gate (A) () 2 22 12.57 m 2 AR ππ == = Depth of the center of area (h c ) 34 / 25 m c h =+ = Magnitude of the resultant force due to hydrostatic pressure on the gate F R = ( )( ) 9.81 616.56 kN 5
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