A magnetically manipulated molecular beam technique is used to change the rotational orientation of H₂ molecules which collide with a stepped Cu(511) surface and explore how the polarisation dependence of molecules scattering into the specular channel changes as a function of surface temperature. At all temperatures, H₂ molecules that are rotating like cartwheels are more likely to be scattered into the specular channel than those that are rotating like helicopters. Furthermore, the scattered molecules are more likely to be rotating like cartwheels, regardless of their state before the collision. Increasing the temperature of the Cu(511) surface causes the polarisation effects to become stronger, with the scattering becoming more selective for H₂ with cartwheel like rotation. Therefore, scattering a molecular beam of H₂ from a Cu(511) surface and taking the molecules scattered into the specular channel provides a method to create a rotationally polarised beam of H₂, where the polarisation can be tuned by changing the surface temperature. In contrast, the rotational orientation dependence observed for specular scattering from a flat Cu(111) surface is independent of surface temperature within the same temperature range.