The Aegir-7 is an autonomous underwater vehicle (AUV) designed to explore hypersaline brine pools on the ocean floor.
The density of the brine in a specific underwater pool is 1210 kg/m31210\text{ kg/m}^31210 kg/m3.
State the equation linking pressure difference, depth, density and ggg.
Calculate the increase in pressure as the Aegir-7 descends from the surface of the brine pool to a depth of 650 m650\text{ m}650 m. (Take g=9.8 m/s2g = 9.8\text{ m/s}^2g=9.8 m/s2)
Atmospheric pressure at the surface is 1.01×105 Pa1.01 \times 10^5\text{ Pa}1.01×105 Pa.
Calculate the total pressure on the Aegir-7 when it is at a depth of 650 m650\text{ m}650 m inside the brine pool.
On another mission, the Aegir-7 experiences a total pressure of 4.8×106 Pa4.8 \times 10^6\text{ Pa}4.8×106 Pa. The reinforced viewing window on the vehicle has an area of 0.35 m20.35\text{ m}^20.35 m2.
State the equation linking pressure, force and area.
Calculate the force acting on the outside of the viewing window.
The Aegir-7 is also calibrated in a deep freshwater test tank, where the density of water is 1000 kg/m31000\text{ kg/m}^31000 kg/m3. Explain why the pressure on the vehicle in the freshwater tank is less than the pressure in the brine pool at the same depth.
A technician is given a sample of the brine. Describe an experiment that the technician could carry out to find the density of the sample.