A column with a volume of 6m3, a base area of 1.5m2, exerts a pressure of 104 kPa.

A column with a volume of 6m3, a base area of 1.5m2, exerts a pressure of 104 kPa. Find the density of the substance from which the column is made.

Given:

V = 6 cubic meters – column volume;

S = 1.5 square meters – column base area;

P = 104 kPa = 104000 Pascal – the pressure exerted by the column;

g = 10 m / s ^ 2 – acceleration of gravity.

It is required to determine ro (kg / m ^ 3) – the density of the material from which the column is made.

Find the force of gravity acting on the column:

F = P * S = 104000 * 1.5 = 156000 Newtons.

Then the mass of the column will be equal to:

m = F / g = 156000/10 = 15600 kilograms.

The density of the column will be equal to:

ro = m / V = 15600/6 = 2600 kg / m ^ 3.

Answer: the density of the material is 2600 kg / m ^ 3.