21. (a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 27.5 m. Assume the density of the water is 1.00 × 10³ kg/m³ and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?
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The pressure due to the weight of the water is given by: Pwater = ρgh where ρ is the density of the water, g is the acceleration due to gravity, and h is the depth of the lake. Substituting the given values, we get: Pwater = (1.00 X 10^3 kg/m^3) x (9.81 m/s^2) Show more…
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(a) Calculate the absolute pressure at the bottom of a freshwater lake at a depth of 27.5 $\mathrm{m}$ . Assume the density of the water is $1.00 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3}$ and the air above is at a pressure of 101.3 $\mathrm{kPa}$ . (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 $\mathrm{cm}$ ?
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