how to find the pressure in A tank with a length 4m, width 2m and depth 3m is filled with a liquid of density
800kgm-3
To find the pressure in a tank filled with a liquid, you can use the formula:
Pressure = density × gravity × height
where
- Density is the density of the liquid (800 kg/m^3 in this case)
- Gravity is the acceleration due to gravity (9.8 m/s^2)
- Height is the depth of the liquid (3 m in this case)
Substituting the given values into the formula, we get:
Pressure = 800 kg/m^3 × 9.8 m/s^2 × 3 m
Pressure = 23520 Pa
The pressure in the tank is 23520 Pa.
Plus one atmosphere.
To account for the atmospheric pressure, you can add one atmosphere (101325 Pa) to the pressure calculated earlier. This is because the pressure inside the tank is relative to the atmospheric pressure outside.
Therefore, the final pressure in the tank is:
Final Pressure = 23520 Pa + 101325 Pa
Final Pressure = 124845 Pa
The pressure in the tank, including one atmosphere, is 124845 Pa.