Question

A water storage tower, like the one shown in the accompanying photo, is filled with fresh water to a depth of 5.5 m. What is the pressure at each of the following depths?

a) 2.3 m below the surface of the water
(b) 5.1 m below the surface of the water

answers is in Pa.

Answer 1

The pressure for static fluids is given by Stevin theorem, which says
\[p=p _{\circ} +\rho g h\] where \[p_\circ\] is the atmosferic pressure \[\approx 1\times10^5~atm\], \[\rho\] is the water density \[(1000~kg/m^3)\], h is the depth im meters,and g is the gravity acceleration \[g\approx 9.8~m/s^2\]. So for h=2.3 m we have \[p=1\times10^5+1000\times9.8\times2.3= 122540~Pa\]. For h=5.1 m we have \[p=1\times10^5+1000\times9.8\times5.1=149980~Pa\]. Check only the choice for g and \[p_\circ\].