Homework Soursean aquarium 5 ft long 2 ft wide and 3 ft deep is full of w
an aquarium 5 ft long , 2 ft wide , and 3 ft deep is full of water. find (A) the hydrostatic pressure on the bottom of the aquarium. (b) the hydrostatic force on the bottom. and (C) the hydrostatic force on one end of the aquarium.
Solution
(a) Pressure at bottom = hg
= 3 ft x 1000 Kg/m3 x 9.8 m/s2
= 0.9 m x 1000 Kg/m3 x 9.8 m/s2 (As 1 ft = 30 cm = 0.3m)
= 8820 Pascals
(b) Force at the bottom = Pressure x Area
= 8820 x (5 ft x 2 ft)
= 8820 x (1.5m x 0.6m)
= 7938 N
(c) For one of the wall, lets is consider a thin strip of width \'dh\' and a depth h from the top of the tank
Area of the strip (dA) = l dh (l = length of tank)
Pressure (P) = hg
F = integral of P dA from h = 0 to 0.9m
= lg * integral h dh from h=0 to 0.9m
= lg * [h2/2] from h=0 to 0.9m
= 1.5m x 1000 Kg/m3 x 9.8m/s2 x (0.9m)2 / 2
= 5953.5 N
