QuestionDetails: = ? N QuestionDetails: You are assigned the design of a cylindr

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QuestionDetails: = ? N QuestionDetails: You are assigned the design of a cylindrical, pressurizedwater tank for a future colony on Mars, where the acceleration dueto gravity is 3.71 meters per second per second. The pressure atthe surface of the water will be 135 , and the depth of the water will be 14.4 . The pressure of the air in the building outsidethe tank will be 95.0 . Find the net downward force on the tank'sflat bottom, of area 1.75 , exerted by the water and air inside the tank and the airoutside the tank. = ? N

Explanation / Answer

According to Bernoulli's equation P1 + (1/2)v1^2 + gy1 = P2 + (1/2)v2^2 +gy2 v1 = v2 = 0 or P1 + g * (y1 - y2) = P2 P1 = 135 kPa = 135 * 10^3 Pa = 1000 kg/m^3 g = 9.8 m/s^2 (y1 - y2) = (0 - 14.4) m = -14.4 m P2 is pressure at the bottom surface of the tank P2 = (F/A) or P1 + g * (y1 - y2) = (F/A) or F = A * [P1 + g * (y1 - y2)] A = 1.75 m^2 F is the net downward force on the tank's flat bottom

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