Question

An aquarium 8 m long, 4 m wide, and 4 m deep is full of water. The hydrostatic pressure on the bottom of the aquarium is ____ Newtons per square meter, the hydrostatic force on the bottom of the aquarium is ____ Newtons, and the hydrostatic force on one end of the aquarium is ____ Newtons. Use g=9.8m/s2 for the acceleration of gravity.

Answer 1

Answer:

Explanation:

Given

length=8 m

width=4 m

deep=4 m

Area of base $A=4\times 8=32 m^2$

hydro static Pressure on bottom$=\rho gh$

$P=10^3\times 9.8\times 4=39.2 kPa$

Force on bottom$=P\times A=1254.4 KN$

Now pressure at the side wall

$F=\rho gA \bar{x}$

where $\bar{x}$ is the mean length of wall = 4 m

$F=10^3\times 9.8\times 4\times 8\times 2=627.2 KN$