The bathyscaphe sank to a record depth of 10,917 m. What is the water pressure

| April 10, 2021 | education

The bathyscaphe sank to a record depth of 10,917 m. What is the water pressure and what is the force of pressure on a 500 cm2 window?

To find the value of the hydrostatic pressure and the pressure force on the window, we will use the formulas: P = ρmw * g * h and F = P / S.

Constants and variables: ρmw – density of sea water (we take ρmw = 1030 kg / m3); g – acceleration of gravity (g = 9.81 m / s2); h – record depth (h = 10917 m); S (area of ​​the window of the indicated bathyscaphe) = 500 cm2 = 0.05 m2.

1) Hydrostatic pressure: P = ρmw * g * h = 1030 * 9.81 * 10917 ≈ 110.3 * 106 Pa = 110.3 MPa.

2) The force of pressure on the window: F = P * S = 110.3 * 10 ^ 6 * 0.05 = 5.515 * 10 ^ 6 N ≈ 5.5 MN.

Answer: The hydrostatic pressure is 110.3 MPa, the pressure force on the window is 5.5 MN.



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