3. A large jug filled with water has three holes poked at the same time. Immediately, it begins leaking as shown in the figure below. Each fluid stream has a diameter of 0.15 inches., and the distance between each of the holes is 2 inches. Neglecting viscous effects, estimate the time it takes for water to stop draining from the first hole. Assume that the top hole is 2 inches beneath the water's surface when the holes are poked.

A continuous belt passes upward through a chemical bath at velocity Vo and picks up a film of liquid of thickness h, density p, and viscosity μ. Gravity tends to make the liquid drain down, butthe movement of the belt keeps the fluid from running off completely. Assume that the flow is a well-developed laminar flow with zero pressure gradient, and that the atmosphere produces no shear at the outer surface of the film. Use the shell-balance approach to (1) derive the governing differential equations. (2) State the boundary conditions for the systems. (3) Determine the velocity profile. Clearly list any assumptions needed. [DO NOT sketch the velocity profile.]

Q3Do you think it is important that one follows ethics in his/her line of work? Explain by giving an example. (20%)

2. 35 points A fire truck is sucking water from a river and delivering it through a longhose to a nozzle. The total length of the galvanized iron hose - corrected for valves,fittings, entrance, etc. – is 90 [m]. The energy provided by the fire truck for pumping thewater is 53 [kJ/kg]. What hose diameter is needed for the pump to achieve an average velocity of 30[m/s]?

2. An intersection has a four-phase signal with the movements allowed in each phase, and corresponding analysis and saturation flow rates shown in Table below. Calculate the optimal cycle length, green, yellow, and all-red intervals for all four phases. Assume approach speed of 40 mi/h, intersection widths of 36 ft (NB and SB approaches) and 60 ft(EB and WB approaches). Assume left turns are of 60ft length and made at a speed of 20mi/h. Also check if the green intervals for through movements are sufficient for pedestrians to cross. Assume startup lost time = 2 sec, clearance lost time = 2 sec. Assume zero grade.No. of pedestrians crossing during an interval= 10, and crosswalk width (We) = 8ft.

Calculate (1) viscosity (Pa·s) and (2) thermal conductivity (in W/m∙K) of O₂ at 300 K and atmospheric pressure, using the Chapman-Enskog theory. Use Appendix. K.(Cp 7.019 cal/mol-K and R=1.987 cal/mol-K)

4- A single-acting air compressor supplies 0.1 m³/s of air measured at, 273 K and 101.3 kN/m²which is compressed to 380 kN/m² from 101.3 kN/m². If the suction temperature is 289 K, the stroke is 0.25 m, and the speed is 4.0 Hz, what is the cylinder diameter? Assuming the cylinder clearance is 4 per cent and compression and re-expansion are isentropic (y = 1.4), what are the theoretical power requirements for the compression?