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

Step-by-step explanation:

Given

length=8 m

width=4 m

deep=4 m

Area of base
`A=4* 8=32 m^2`

hydro static Pressure on bottom
`=\rho gh`

`P=10^3* 9.8* 4=39.2 kPa`

Force on bottom
`=P* 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* 9.8* 4* 8* 2=627.2 KN`