The dimension of a certain tank is 3m × 2m × 2m. What is the pressure at the bottom of the tank if the tank is half filled? (Given, the density of water = 1000 kg/m3 and g = 10 m/s2)
1 Answer
Solution
Given, the density (d) = 1000 kg/m3
Depth (h) = 1 m,
Acceleration due to gravity (g) = 10 m/s2
Water pressure (P) = ?
We know, that,
Liquid pressure (P) = h×d×g
= 1×1000x10
= 10,000 Pascal.
∴ The pressure exerted by water is 10,000 pascal.
Things to remember from Pressure
- The force acting perpendicularly on per unit surface area is called pressure. Its SI unit is N/m2 or Pascal.
- The pressure exerted by the atmosphere is called atmospheric pressure.
- The normal atmospheric pressure i.e. atmospheric pressure at the sea level is 760 mm of Hg.
- Air has weight and it can be easily be compressed.
- Air occupies space.
- Atmospheric pressure decreases with the increase in altitude.
- The pressure exerted by the liquid is called the liquid pressure.
- Liquid exerts pressure at the bottom of the vessel as well as on the sides of the vessel in which it is kept.
- Liquid pressure increases with the increase in depth.
- Liquid exerts pressure equally in all directions.
- When the pressure is applied to an enclosed liquid, then it transmits pressure equally in all directions. This is called Pascal's law.
- Liquid pressure increases with the increase in the density of the liquids.
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