Water at a gauge pressure of P = 3.8 atm at street level flows into an office building at a speed of 0.74 m/s through a pipe 6.0 cm in diameter. The pipe tapers down to 2.0 cm in diameter by the top floor, 16 m above (Figure 1). Assume no branch pipes and ignore viscosity. Part A Calculate the flow velocity in the pipe on the top floor. Part B Calculate the gauge pressure in the pipe on the top floor.

You find an antique car jack like the one shown in the figure at an estate sale. After cleaning it up, you establish that the amount of friction is negligible and that the input and output pistons have a diameter of 0.30 in. and 1.9 in., respectively. Determine the force F needed to support a 1000-lb load at the output piston. 24.9 × Does the oil in the hydraulic system of the jack obey Pascal's Law? How is the pressure provided by the oil at the output piston related to the pressure applied to the oil at the input piston? Can you write an expression for the input and/or output force in terms of the input and/or output pressure and the appropriate area? Notice that the construction of the jack makes the point where the jack handle is attached to the jack base a convenient pivot point about which to determine the torques. lb 1000 lb 3.0 in. 12 in.- input piston output piston

Air P = 76 kPa SG₁ = 13.55 40 cm 22 cm Consider a dual-fluid manometer attached to an air pipe as shown in the image. If the SG of one fluids is 13.55, determine the SG of the other fluid for the indicated absolute pressure of air. Take the atmospheric pressure to be about 100 kPa. SG₂