An apparatus for balancing a wheel includes a tool that is mechanically coupled to an arm. The tool includes a leading edge, a trailing edge, and a face surface that forms an arc between the leading and trailing edges. The apparatus includes an arm control module that actuates the arm to position the leading edge of the tool a predetermined distance from an edge of a deck to receive a wheel weight. The apparatus includes a cutting apparatus for separating the wheel weight from a supply feed of wheel weight material. The apparatus includes a sensor that detects presence or absence of the wheel weight on the tool.