An aquarium 5 ft long, 2 ft wide, and 5 ft deep is full of water. (Recall that t

Question

An aquarium 5 ft long, 2 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.)

(a) Find the hydrostatic pressure on the bottom of the aquarium.

An aquarium 5 ft long, 2 ft wide, and 5 ft deep is full of water. (Recall that the weight density of water is 62.5 lb/ft3.) (a) Find the hydrostatic pressure on the bottom of the aquarium Ib/ft2 (b) Find the hydrostatic force on the bottom of the aquarium lb (c) Find the hydrostatic force on one end of the aquarium lb

Explanation / Answer

We know that 1 cubic foot volume of water weighs 62.4 pounds so we are ready to solve the problem( gp (water)= 62.4 lb/ft^3)

a) P=gph
g- acceleration due to gravity
p - density of water
h - depth below the surface of water
P= 62.5 x 5=312.5 lb/ft

b)F=P A
A- area of the bottom of the aquarium
A=5X2=10 ft^2
F= 125 x 10= 1250 lb

c)F=0.5 gpW h^2
h - depth below the surface of water
W - width of the wall
F=0.5 x 62.5x 2 (5)^2=
F=1562.5 lb

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