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Problem 2 A concrete dam has a curved surface and restrain water (p=1000kg/m3) at a depth H=2 m. The trace of the surface is a parabola described by the equation: z= 0.2x2 . dam 1- Determine the gage pressure distribution in the water 2- Determine the magnitude of the pressure force F acting on the curved dam surface per unit width (dimension normal to the page) of the gate. [Solution: F=45,780 N] 3-Determine the angle of that force relative to the horizontal direction. Solution: α-64.6 Problem 3 A cylindrical open container (volume 5 gallons, cross- sectional area A=120 in2) is filled with glycerin (density ρ 2.44 slugs/ft3) and rests on the floor of an elevator Develop an expression for the fluid gage pressure at the bottom of the container when the elevator has an upward acceleration a. Calculate the pressure when a=3 ft/s2 elevator Solution: Pi 68.9 Ib/t] cylindrical container glycerin

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race of suocd 오 2m vestad projectad osaa a -0%9-8 1x 4.264 ongth 10 IOht of-tha 41358-96 N : 962O N 457%, 72 Total foce 4 T80 N Fo FH Loe CT 9690 64.621 clockaiseP3 Siven Elevator indsical Comiaer2y CNOSS-Sectéoral Height of the tuit Courmrn 2.0 tuge -then 2.44 (32.2+3)x9.625 12. 68-83

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