Pressure and Depth

A tank contains water to a depth of 4.0 m. The density of water is 1000 kg/m³. Take gravitational field strength g = 10 N/kg. Calculate the pressure difference between the top and the bottom of the tank.

State the equation that links pressure difference, height, density, and gravitational field strength. Explain what each symbol means.

Which change would reduce the pressure difference between two points in a liquid, all else staying the same?

A storage tank contains orange juice to a depth of 1.5 m. The density of orange juice is 1050 kg/m³. Take g = 10 N/kg.

Density of Liquids

Milk

1030 kg/m³

Kerosene

810 kg/m³

Seawater

1025 kg/m³

Which of the three liquids would create the greatest pressure at a depth of 2 m? Justify your answer.

Explain why the area of the base does not change the pressure difference between two points at different depths in a liquid.

A container is filled with glycerol to a height of 2.0 m. The density of glycerol is 1260 kg/m³. Take g = 10 N/kg. What is the pressure difference between the top and the bottom of the glycerol?

A column of treacle is 0.80 m high in a tube. The density of treacle is 1420 kg/m³, and g = 10 N/kg.