A rectangle tank is 2m long, 1 m wide and 4 m tall. Each vertical side of the tank can withstand a max force of 39200 Newtons. What volume of water can the tank hold...

Question

anonymous · Answer

313600

anonymous · Answer

my anwers was 2512.82 but it does not make any sense.

anonymous · Answer

8000 liters?

anonymous · Answer

F = pressure x area . We know for water is 62.4 lb/ft we also know the force but for some reason im getting something that I think is incorrect. finding h using similar rectangles ? and multiplying that by your area , since Area times height gives you volume . Right? or am I missing something

john_es · Answer

We know,
$$P=F/S$$If I understand well the problem, the base of the tank has dimensions 2x1, so the area is 2 m^2, then the maximum pressure admited is,
$$P=39200/2=19600\ Pa$$Then using,
$$P=\rho g h\Rightarrow19600=1000\cdot 9.8\cdot h\Rightarrow h=2\ m$$The volume will be
$$V=2\cdot1\cdot2=4\ m^3$$