10 0/10 points awarded Scored A 3-m-high large tank is initially filled with water. The tank water surface is open to the atmosphere, and a sharp-edged 10-cm-diameter orifice at the bottom drains to the atmosphere through a horizontal 80-m-long pipe. The total irreversible head loss of the system is determined to be 1.500 m. In order to drain the tank faster, a pump is installed near the tank exit. Determine the pump head input necessary to establish an average water speed of 6.5 m/s when the tank is full. Disregard the effect of the kinetic energy correction factors. (Round the final answer to three decimal places.) Water 3 m 10 cm 80 m The required useful pump head is 1.200 m.

(30 minutes) Consider a converging-diverging nozzle, which is open to stagnant atmosphere at the inlet and connected to an infinitely large low-pressure reservoir downstream at the outlet (see the figure below). The ambient pressure (pa) is 1 bar, the throat cross section area is 0.1 m². Imagine that the pressure in the low-pressure reservoir (p₁) can be changed to regulate the flow in the nozzle. Me Pa=1 bar A₁ =0.1 m² Ae Pv Pe Low pressure reservoir a) It is known that when p₁ = 0.8 bar, the nozzle is choked and the flow in the converging- diverging nozzle is subsonic. Find the exit cross-section area (Ae), the static pressure at the exit (pe) and the Mach number at the exit (Me) for this case. b) Determine the range of vacuum pressure (pv) for which there is a normal shock wave in the diverging section of the nozzle. c) Imagine that a pitot-tube is inserted at the exit of the nozzle. What would be the total pressure reading when: (1) p₁ = 0.8 bar; (2) p, is adjusted such that the…

1. Five forces are applied to the solid prism shown in Figure 1. Note that the 30 lb forces are in the plane of the prism's surface and are not vertical. Also note that the end of the prism is not an equilateral triangle. a) Compute the magnitude of the couple moment of the force couple formed by the 30 lb forces. b) Replace all the forces with an equivalent resultant force and couple moment acting at point A, Rand G. Give your answers as Cartesian vectors. Figure 1: 6 in a) G b) R GA B 5 in 5 in 4 in 40 lb 4 in 40 lb A 50 lb 30 lb 5 in E 5 in Y