A linear rotary encoder includes a pair of rotational surfaces. A contact belt has a first end coupled to a first rotational surface in the pair and a second end coupled to a second rotational surface in the pair. The contact belt is driven to rotate around the pair of rotational surfaces by a driving force applied to media to move the media from the first end toward the second end. An encoding scale is coupled to an inner surface of the contact belt. A reader is positioned to read the encoding scale as the contact belt rotates around the pair of rotational surfaces. The reader generates an output signal indicating a position of the media based on reading of the encoding scale.