A first feasibility study of the search for a new heavy charged gauge boson with the CMS detector at the Large Hadron Collider LHC is presented. The used model assumes the existence of a heavy carbon copy of the Standard Model W (Reference Model by Altarelli), generically denoted as W^'. Such a boson has been investigated in the decay channel W^'\rightarrow \mu \nu using the full detector simulation including minimum bias events (pile-up) according to the luminosity expected in the first years. All relevant Standard Model backgrounds have been considered. Such a new boson is expected to be discovered, if existing, with a mass up to 4.6 TeV for an integrated luminosity of 10 {fb}^-1. The range can be expanded to 6.1 TeV with an integrated luminosity of 300 {fb}^-1. If no signs for a W^'boson appear 95\% CL exclusion limits of 4.7 TeV and 6.2 TeV can be set, respectively.

PACS numbers: 14.70.Pw