Question

A 1.2-m-tall barrel is filled with water (with a weight density of 9800 N/m^3). Find the water pressure on the bottom of the barrel. Express your answer to two significant figures and include the appropriate units.

Answer 1

The liquid pressure is equal to the product of the weight density and the depth. The pressure of the liquid depends on the depth and the density of the liquid.  The mathematical expression is

$P = \dot{\rho} h$

Where,

$\dot{\rho} =$ Weight density

h = Depth

Replacing we have that

$P = (9800N/m^3)(1.2m)$

$P = 11800Pa$

$P = 11.8kPa$

Therefore the water pressure on the bottom of the barrel is 11.8kPa