You are assigned the design of a cylindrical, pressurized water tank for a futur

Question

You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to gravity is 3.71 meters per second per second. The pressure at the surface of the water will be 105 kPa , and the depth of the water will be 13.9 m . The pressure of the air in the building outside the tank will be 92.0 kPa .

Find the net downward force on the tank's flat bottom, of area 1.80 m2 , exerted by the water and air inside the tank and the air outside the tank.

Explanation / Answer

net pressure p = (105 - 92.0)kPa + 1000kg/m³ * 3.71m/s² * 13.9m
p = 64569Pa

net F = net p * A
net F = 64569Pa * 1.80m² = 116224.2N = 1.162e5 N

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