A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan k are thin glass which can only withstand a maximum force of 200 lb. How high (in ft) can the water reach before the sides shatter? (Assume a density of water rho = 62.4 lb/ft3.
Round your answer to two decimal places.)
1 answer:
Answer:
0.033 ft
Step-by-step explanation:
Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.
Pressure is distributed from 0 to maximum at the bottom like the following equation:
So the force generated by water pressure on the side of the tank is
where s = 6ft is the side length of the tank. This force cannot be larger than 200lb
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Step-by-step explanation:
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