The aquarium for marine fish weighing 1500 kg, completely filled with sea water, has a volume of 3 m3

| July 7, 2021 | education

The aquarium for marine fish weighing 1500 kg, completely filled with sea water, has a volume of 3 m3 at a height of 1.5 m. What pressure does this aquarium exert on the support underneath?

To find the pressure created by the indicated aquarium with seawater on the support underneath, we use the formula: P = Fт / S = m * g / (V / h) = (ma + mmv) * g * h / V = (ma + ρmv * V) * g * h / V.

Variables and constants: ma – the mass of the specified aquarium (ma = 1500 kg); ρmw is the density of seawater (ρmw = 1030 kg / m3); V is the volume of the aquarium (V = 3 m3); g – acceleration due to gravity (g ≈ 10 m / s2); h is the height of the aquarium (h = 1.5 m).

Calculation: P = (ma + ρmv * V) * g * h / V = (1500 + 1030 * 3) * 10 * 1.5 / 3 = 22.95 * 10 ^ 3 Pa.

Answer: The pressure of the indicated seawater aquarium on the support is 22.95 kPa.



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