Pressure below the water surface

Classical Mechanics Level 1

If the pressure at a point in the ocean is 60 kPa 60\text{ kPa} , what is the pressure 27 meters below this point? Round your answer to the nearest whole number.

Details and Assumptions :

  • Specific gravity of ocean water is 1.03

  • Unit weight of fresh water is 9.81 kN/m 3 9.81 \text{ kN/m}^3 .

330 kPa 330\text{ kPa} 335 kPa 335\text{ kPa} 333 kPa 333\text{ kPa} 325 kPa 325\text{ kPa}

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1 solution

p 1 p_1 = γ h 1 = γh_1

60 = ( 9.81 ) ( 1.03 ) h 1 60 = (9.81)(1.03)h_1

h 1 = 5.938 m h_1 = 5.938m

h 2 = 27 + 5.938 = 32.938 m h_2 = 27 + 5.938 = 32.938 m

p 2 = γ h 2 = ( 9.81 ) ( 1.03 ) ( 32.938 ) = 333 p_2 = γh2 = (9.81)(1.03)(32.938) = 333 k P a kPa

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