Measurements of the tank are long,
wide and
height.
Tank is containing kerosene with density to a depth of
.
(a)
\Find the hydrostatic pressure on the bottom of the tank:
\Hydrostatic pressure is defined as .
Here ,
and
.
Therefore, .
.
Hydrostatic pressure on the bottom of the tank is .
(b)
\Find the hydrostatic force on the bottom of the tank:
\Hydrostatic force is defined as .
Where is the area of the container and
is hydrostatics pressure on the bottom of the container.
Bottom area of the tank is .
Substitute and
in
.
.
Hydrostatic force on the bottom of the aquarium is .
(c)
\Find the hydrostatic force on one end of the aquarium:
\, where
is the depth of the aquarium.
Strip area is , as depth increases then
also increases.
Consider the integral limits to
as kerosene is upto
only.
Hydrostatic force on one end of the tank is .
(a) Hydrostatic pressure on the bottom of the tank is .
(b) Hydrostatic force on the bottom of the aquarium is .
(c) Hydrostatic force on one end of the tank is .