Challenge Problems 8. A solid resin cone (SGresin = 0.50) is placed vertically in a vat of liquid (SGq = 1.2) as shown on the right. Determine: a) the depth h through which the cone sinks (h not drawn to scale). b) whether the cone will be stable or unstable in this position. 7 im 2m

Q3) A solid wood cylinder of diameter 2 ft and height of 4 ft as shown in Fig.3,the specific gravity of the wood is 0.6 .If the cylinder floats vertically in oil of specific gravity 0.85. State whether the equilibrium is stable or unstable. the specific weight for water y= 62.4 Ib/ft. 4 ft 2 ft Fig.3 Examiner GOOD LUCK Asst.prof .Dr.Hadi Abeid

Topic: Fluid Statics and its Applications

A tank open to the atmosphere contains oil of sp. gr. = 0.80, gasoline sp.gr. =0.90 and seawater sp.gr. = 1.03. If the depths of the liquids are 0.65 m., 0.92 m., and 1.15 m. for oil, gasoline and sea water respectively. Find the absolute pressure at a depth of 2 m.

Q1: From Figure 1, the tube and the tank are open to the atmosphere. If L is 2.13 m, what is the angle of tilt 0 of the tube? Oil 50 cm Figure 1 SG = 0.8 Water 50 cm SG = 1.0

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QV: a hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil if density psubscripto anc closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance L from the small piston, and a force of magnitude Fsubscript0 is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass.  a. Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position. b. Determine the pressure change applied to the fluid by the small piston. c. Determine the magnitude Fout of the force that the fluid applies to the large piston.

The pressure of water in a pipeline was measured by means of a simple manometer containing mercury. The mercury level in the open tube is 175 mm higher than that of the left tube. The height of water in the left tube is 47mm. Determine the static pressure in the pipe in a).kN/m2.  b) Head of water in meters,   -The static pressure in the pipe in kN/m2  =   -Head of water in meters =