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 110 kPa, and the depth of the water will be 14.3 m. The pressure of the air in the building outside the tank will be 94.0 kPa.

a) Find the net downward force on the tank's flat bottom, of area 1.65 m^2, exerted by the water and air inside the tank and the air outside the tank. (express the answer in 3 sig figs. in Newtons)

Explanation / Answer

pressure of water at the bottom of the tank,
Pb = Pt + gh

= 110 + 1*3.71*14.3

= 163.05 kPa

net downeard force,

F = (Pb - Pair)A (A = cross sectional area)

F = (163.05-94)1.65 = 113.93 kN = 1.14x105 N

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