Calculate the pressure at the greatest depth in the lake, equal to 8 m, if the density of the water in the lake is 1010 kg / m3.
August 22, 2021 | education
| To calculate the required pressure at the greatest depth of the lake under consideration, we use the formula: P = Patm + Pv = Patm + ρw * g * h.
Constants and variables: Patm – normal atmospheric pressure (Ratm = 101325 Pa); ρw is the density of lake water (according to the condition ρw = 1010 kg / m3); g – acceleration due to gravity (g ≈ 10 m / s2); h is the depth of the lake (h = 14 m).
Let’s perform the calculation: P = Patm + ρw * g * h = 101325 + 1010 * 10 * 8 ≈ 182 * 10 ^ 3 Pa (182 kPa).
Answer: At a depth of 8 m, the pressure is 182 kPa.
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