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Measurement of Atmospheric Pressure

at a depth of...

Question

at a depth of 1000m in an ocean (a)what is the absolute pressure
(b)what is the guage pressure(c)find the force acting on the window of area2020cm of a submarine at this depth,the interior of which is maintained at sea level atmospheric pressure.the density of sea water is 1.031000kg/m3,g=10m/s2.

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Solution

(a) Absolute Pressure = P_a+ dgh = 10⁵ + (10³)(10)(1000) = 10.1 x 10⁶N/m²
(b) Gauge Pressure = (10³)(10)(1000) = 10 x 10⁶N/m²
(c) F = PA = (10.1 x 10⁶N/m²) x (20 x 20) = 40.4 x 10⁸ N

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