abstract: The extraction of angular momentum from vortices in trapped Bose-Einstein condensates is investigated. Using a variational approach, it is shown that the energy barrier between the ground state and the metastable state containing an axis-symmetric vortex can be surpassed by means of a scattering process with density perturbations. The transfer of angular momentum can be made total for suitably chosen density perturbations carrying an energy of about 10% of the ground-state energy, irrespective of the number of particles.