Water is poured into an aquarium 40 cm high, 60 cm long and 30 cm wide. Find the total force of pressure on the walls

| January 9, 2021 | education

Water is poured into an aquarium 40 cm high, 60 cm long and 30 cm wide. Find the total force of pressure on the walls of the aquarium if the water does not reach the edge by 10 cm.

To calculate the value of the total pressure force of the aquarium water on four walls, we apply the formula: F = P * S = (ρw * g * (h – Δh) / 2) * (2 * a * (h – Δh) + 2 * b * (h – Δh)).
Constants and variables: ρw is the density of the aquarium water (ρw = 1000 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); h – the height of the presented aquarium (h = 40 cm = 0.3 m); Δh is the height between the water surface and the edge of the aquarium (Δh = 10 cm = 0.1 m); a – the length of the aquarium (a = 60 cm = 0.6 m); b – width (b = 30 cm = 0.3 m).
Calculation: F = (ρw * g * (h – Δh) / 2) * (2 * a * (h – Δh) + 2 * b * (h – Δh)) = (1000 * 10 * (0.4 – 0.1) / 2) * (2 * 0.6 * (0.4 – 0.1) + 2 * 0.3 * (0.4 – 0.1)) = 810 N.
Answer: The total force of pressure on the walls of the presented aquarium is 810 N.



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