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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

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 0.440 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 25C and at one standard atmosphere pressure. The students measure the aerodynamic drag on their model submarine in the wind tunnel. They are careful to run the wind tunnel at conditions that ensure similarity with the prototype submarine. Their measured drag force is 6.75 N. Estimate the drag force on the prototype submarine at the given conditions. For water at T = 15C and atmospheric pressure, p=999.1 kg/m and = 1.138x 10-3 3 kg/m-s. For air at T = 25C and atmospheric pressure, p = 1.184 kg/m3 and = 1.849x 10-5 kg/m.s. V P P Wind tunnel test section Model Shield FD Drag balance Strut The drag force on the prototype submarine is estimated to be N.

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