A jar 50 cm high is filled with water. Determine the pressure per 1 cm³ of the bottom of the can.

The pressure force formula is as follows – p = F / S, where p is the pressure (unit of measurement – Pa (pascal) or N / m²), F is the force pressing on a certain area – in our case it is the weight of the “column” of water in bank (unit of measurement – N (newton), S – area,
to which this force is applied (m²).

The weight of water will be determined by the formula p = ρVg, where V is the volume, ρ is the specific density (the density of water is 1000 kg / m³, or 1kg / dm³, or 1 kg / l), g is the acceleration of gravity.

Substituting one formula into another and making simple reductions, we obtain the final formula for the pressure of the liquid column (in our case, water) – p = ρgh, where h is the height of the liquid column (in our case, the depth of the tank). Substituting the values ​​we have, we get –

1000 kg / m³ * 9.8 m / s² * 0.5 m = 4900 N / m² or 4.9 kN / m².

Translating the dimension in N / cm², we get – 4900 N / 10000 cm² = 0.49 N / cm². Thus, the water pressure per 1 cm² of the bottom of the can will be – 0.49 Pa.

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