A free coaster bicycle wheel driving apparatus is provided with a clutch that employs radially acting, rather than axially acting components. An annular drive sleeve projecting inwardly from a drive sprocket is disposed within multiple transmission power transmission sleeves, which are disposed within a cylindrical wheel hub shell. The drive sleeve defines multiple cam lobes and the power transmission sleeves define multiple cam lobes and multiple pockets. When the drive sleeve cam lobes are disposed in the power transmission sleeve pockets, the driving apparatus is disengaged and allowed to free coast. Upon forward rotation of the driving apparatus, the drive sleeve cam lobes rotate toward and engage the power transmission sleeve cam lobes, thereby forcing the power transmission sleeve radially outward towards the wheel hub shell, thereby allowing the sprocket to engage the wheel hub.