Determine the pressure exerted on a diver at 15 m below the free surface of the sea. Assume a barometric pressure of 101 kPa and a specific gravity of 1.03 for seawater.

Determine the pressure exerted on a diver at 15 m below the free surface of the sea. Assume a barometric pressure of 101 kPa and a specific gravity of 1.03 for seawater.

 
Solution:

 

    Here

       Atmospheric pressure = P_atm = 101 kPa

       Distance from the free surface = h = 15 m

       The specific gravity of seawater = 1.03

       Density of sea water ρ= 1.03×1000=1030 `m_3\kg`

 

            The pressure exerted on the diver at 15 m below the free surface= 𝑷𝒂 + 𝒑𝒈𝒉 

                                                                                                = 𝟏𝟎𝟏𝟎𝟎𝟎 + (𝟏𝟎𝟑𝟎 ∗ 𝟗. 𝟖𝟏 ∗ 𝟏𝟓) = 𝟐𝟓𝟐𝟓𝟔𝟒 𝑷𝒂

        Therefore, 

                                The pressure acting on the diver 15 m below the free surface is 𝟐𝟓𝟐𝟓𝟔𝟒 𝑷a