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.

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

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

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

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. Find the (a) height of the free water surface above the bottom of the tank. and (c) the absolute pressure at the bottom of the tank.

What must be the (a) pressure at piston A and B. and (b) the force exerted at piston A. if the intervening passages are filled with oil having specific gravity of 0.200 cm2 while that of B is 800 cm2.8 and a force of 4 kN is acting on B. B is higher than A by 2m. .Problem 8 • Piston A has a cross-section of 1.

6.0m s=0.70 Elev. 12. 8.10 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.0m h Elev.0m Hg . 15.=? Elev.0m s=1.Problem 9 • The top part of a container has a gage reading of 17. 4.60 Elev.0m Water Elev.