Question 8 a) the coach of an age group swim team needs to assign swimmers to a 200-yard medley relay team to send to the junior Olympics. Since most of his best swimmers are very fast in more than one stroke, it is not clear which swimmer should be assigned to each of the four strokes. The five fastest swimmers and the best time (in seconds) they have achieved in each of the stroke (for 50 yards) are: Stroke Carl Chris David Tony Ken Backstroke 37.7 32.9 33.8 37.0 35.4 Breaststroke 43.4 33.1 42.2 34.7 41.8 Butterfly 33.3 28.5 38.9 30.4 33.6 Freestyle 29.2 26.4 29.6 28.5 31.1 The coach wishes to determine how to assign four swimmers to the four different stroke to minimize the sum of the corresponding best time. Formulate this problem as an assignment problem. b) Find the saddle point for the game having the following payoff table

2- Firefighters are holding a nozzle at the end of a hose while trying to extinguish a fire. If the nozzle exit diameter is 10 cm and the water flow rate is 12 m³/min, determine (a) the average water exit velocity and (b) the horizontal resistance force required of the firefighters to hold the nozzle. 12 m³/min

(c) Which of the following would be considered control volume system? a. Tire b. Piston-cylinder device C. Boiler d. A balloon filled with nitrogen e. Mixture of liquid water and air in a closed bottle

4.50. Following is a diagram of the shirt-cleaning process used by the Floods of Suds One-Day Laundry Services, Inc. The shirts are soaked in an agitated tub containing Whizzo, the Wonder Detergent, and are then wrung out and sent to a rinse stage. The dirty Whizzo is sent to a filter in which most of the dirt is removed, and the cleaned detergent is recycled back to join a stream of pure Whizzo, with the combined stream serving as the feed to the washtub. Wh Dirty shirts Clean shirts AGITATED Pure Wh 97% Wh TUB 87% Wh 8% Wh FILTER Recycled Wh Data: 1. Each 100 lb, of dirty shirts contains 2.01b, of dirt. 2. The washing removes 95% of the dirt in the dirty shirts. 3. For each 100 lb,m of dirty shirts, 25 lb,, of Whizzo leaves with the clean shirts, of which 22 Ib, is wrung back into the tub. 4. The detergent that enters the tub contains 97% Whizzo, and that which enters the filter contains 87%. The wet dirt that leaves the filter contains 8.0% Whizzo. (a) How much pure Whizzo must be…

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Week 16-17 Application of DE of Order One Name: Section: 9. A ball mass of 2kg is dropped from rest in a viscous fluid, the resistance of which is 0.001v Newton where v is the instantaneous velocity in m/s. What is the velocity and distance travelled by the ball after 4 seconds? 10. A 70kg object falls from rest, and its terminal velocity is -20m/s. a. Find its velocity after 2 seconds. b. How long does it take to reach 80% of its terminal velocity?

4. Question number (4) WASTEWATER ENGINEERING Civil Engineering Clear handwriting please

Describe briefly the nature and operation of rapid gravity filters used in drinking water treatment. Use sketches where appropriate.

Please explain your answer. Thanks!

5-A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.550 m/s. The water is freshwater (a lake) at T = 15°C. The design team builds a one-fifth scale model to test in their university's wind tunnel. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25°C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity? Poor P Wind tunnel test section Model Shield FD Drag balance Strut