In the scattering of a monochromatic plane wave from a dielectric column oscillating sinusoidally prependicular to its axis, one could assume that the boundary moves with a uniform velocity equal to its instantaneous oscilaating velocity. The scattered fields are abtained according to the postulates of special relativitiy and extended for the osdillating period. The angle distribution of average scattering radiation, the average of total scattering cross sections and radar cross sections for a period are illustrated as the function of the relative maximum oscillating velocity and the incident angles of plane waves.