Q: What is force on the base of a tank of base area 1.5 m^2 when it is filled with water upto a height of 1m
(ρwater = 103 kg/m3, P0 = 105 Pa and g = 10 m/s2)
Sol: Absolute pressure at the bottom of the container is
P = P0 + h ρ g
= 105 + 1 × 103 × 10
= 1.1 × 105 Pa
Then force due top water on the base is
Fbase = PA
=(1.1 × 105 )(1.5)
=1.65 × 105 N