Find the pressure at a depth of 10m in water if the atmospheric pressure is 100kPa. [1Pa=1N/m2 ] [100kPa = 105Pa = 105N/m2 = 1 atm.]
If we consider a tank of height h , filled with water then the pressure at the bottom surface of tank will be (look at the figure also)-
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As the pressure at the surface of water is atmospheric, so
Pressure at a depth h below the surface of water = atmospheric pressure + pressure due to water column of height h.
Given that height of tank is h= 10m
The atmospheric pressure = 100 kPa
Density of water =1g/cm3 = 103 kg m–3
The gravitational constant g = 10 m s–2
Then the pressure at a depth h will be = atmospheric pressure + pressure at bottom
= 100kpa + ![]()
= 105 N/m2 +103k/m3
10m/s2
10m
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= 200kpa