History of strains, stresses and displacements of a rotating cylinder made of polypropylene reinforced by multi-walled carbon nanotubes (MWCNTs) subjected to magneto-thermo-mechanical loading is investigated using Burgers viscoelastic creep model. By making use of equations of equilibrium, stress-strain and strain-displacement, a constitutive differential equation containing creep strains is obtained which is solved semi analytically. It has been found that radial displacement, tangential strain and absolute values of radial strain are increasing with time at a decreasing rate so that they finally approach the steady state condition. Effective stresses are decreasing at the inner and increasing at the outer surface of the cylinder.