We present synthetic spectra corresponding to a 2.5D magnetohydrodynamic simulation of a rotating prominence in the k Ly alpha , and Ly beta lines. The prominence rotation resulted from angular momentum conservation within a flux rope where asymmetric heating imposed a net rotation prior to the thermal-instability-driven condensation phase. The spectra were created using a library built on the framework called which provides boundary conditions for incorporating the limb-darkened irradiation of the solar disk on isolated structures such as prominences. Our spectra show distinctive rotational signatures for the k Ly alpha , and Ly beta lines, even in the presence of complex, turbulent solar atmospheric conditions. However, these signals are barely detectable for the and spectral lines. Most notably, we find only a very faint rotational signal in the line, thus reigniting the discussion on the existence of sustained rotation in prominences.