Course sections

Density

Density

  • Density is the ratio of mass of an object to its volume
  • \rho = \frac{m}{v}
  • SI units are kg/m^{3}
  • To convert to g/cm^{3}
    • 1000\frac{kg}{m^{3}} = \frac{1000 \times 1000g}{(100cm)^{3}} = \frac{1000 \times 1000g}{100 \times 100 \times 100 {cm^{3}} } = 1\tfrac{g}{cm^{3}}
  • It does not depend on the shape and size of the object. To experimentally determine the density of an object of any shape –
    • Measure the mass of an object,
    • Then measure its volume using the displacement method shown in unit 1 subunit Length and Time, topic
  • It is derived from the mass of a unit volume of an object
  • As such, it is an intrinsic property of a material
  • Objects with higher density sink in fluids of lower density, and will float on fluids of higher density.