An analysis of effects of thermal radiation and rotation on an accelerated vertical plate with variable temperature and uniform mass is presented. An exact solution is obtained for the axial and transverse components of the velocity by defining a complex velocity. The effects of velocity, temperature and concentration for different parameters, such as radiation parameter, rotation parameter, Schmidt number, thermal Grashof number, mass Grashof number, Prandtl number, and time on the plate, are discussed.