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Homework #1

Problem 1 .

Problem 2 .

will produce a pressure of 120 kN/m2? What depth of water is this equivalent to? . At what depth below the surface of oil.8. relative density 0.Problem 3 3.

what is the magnitude of the force F2 that can be resisted by the piston with the 10cm diameter? Neglect the weights of the pistons. .Problem 4 • If a 200N force F1 is applied to the piston with the 4cm diameter.

a load of mass 10 kg is situated on a piston of diameter D1 = 140 mm. Assume the oil in the tube is open to atmosphere and neglect the mass of the piston. Find h2.Problem 5 • As shown. The reservoir is connected to a round tube of diameter D2 = 5 mm and oil rises in the tube to height h2. .8. The piston rides on a reservoir of oil of depth h1 = 42 mm and specific gravity S = 0.

Unit weight of water 9790 N/m3. If the pressure at B is 87Kpa. in kpa.Problem 6 Pressure gage B is to measure the pressure at point a in a water flow.100 N/m3. Unit weight of mercury133. estimate the pressure at A. Use . Unit weight of oil 8720 N/m3 . Assume all fluids are at 20°C.

compute the velocity at A if oil flows at a rate of 36000 liters per minute.Problem 6 • Oil of specific gravity 0. (a) Determine the value of h if the pressure at A is 142 kPa. (c) If the diameter at A is 200 mm. . (b) What is the pressure at B.75 flows through a nozzle shown and deflects the mercury in the U-tube gage.

and (c) the absolute pressure at the bottom of the tank. . Find the (a) height of the free water surface above the bottom of the tank.Problem 7 • A manometer is attached is attached to a water tank as shown in the figure. (b) pressure at the interface of the water and the mercury.

8 and a force of 4 kN is acting on B. What must be the (a) pressure at piston A and B.200 cm2 while that of B is 800 cm2. if the intervening passages are filled with oil having specific gravity of 0. .Problem 8 • Piston A has a cross-section of 1. and (b) the force exerted at piston A. B is higher than A by 2m.

12. 4.0m Hg .70 Elev.0m h Elev. 15.0m s=1. 6.10 kPa(vacuum pressure) as shown o Which of the following most nearly gives the elevation of water in the piezometer tapped in m? o Which of the following most nearly gives the deflection “h” of mercury in the U-tube manometer in mm? o Which of the following most nearly gives the pressure at the bottom surface of the container in kPa? Air Elev.=? Elev. 8.0m s=0.60 Elev.0m Water Elev.Problem 9 • The top part of a container has a gage reading of 17.