Grade 10 Science · Pressure Under Water
The column above you
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The column above you

Dive down and your ears feel it: the deeper you go, the taller the column of water stacked over you, and the harder it presses. P=ρghP = \rho g h — read aloud: P equals rho g h. ρ\rho is the Greek letter rho, said “row”, and it is the fluid's density — for water, 1000 kg/m³, a number worth memorizing. gg is gravity's pull, 9.8 m/s29.8\ \mathrm{m/s^2} on this paper, and hh is the depth in metres — how much water is stacked overhead. With g=9.8 m/s2g = 9.8\ \mathrm{m/s^2}, every metre of water above you costs 1000×9.8×1=9800 Pa1000 \times 9.8 \times 1 = 9800\ \mathrm{Pa} — call it 9.8 kPa per metre.

Here is the nugget that ties the chapter together: ten metres of water costs about 98 kPa — almost exactly one whole atmosphere. Dive 10 m and you carry DOUBLE the surface squeeze; the ocean matches the entire sky in its first ten metres. Air is just a much, much fluffier fluid — which is the next lesson's whole story.