Abstract: Measurements of force and extension on single molecules of DNA have allowed for direct measurement of the molecule's mechanical properties, provided rigorous tests of theories of polymer elasticity, and established an experimental and conceptual framework for mechanical assays of enzymes that act on DNA. In this talk I present the development and application of a novel assay to study the torque and twist in a single molecule of DNA. The technique involves the attachment of a small "rotor" bead to the side of a stretched DNA molecule; this rotor bead spins in response to torque in the DNA. By observing the magnitude of angular fluctuations of this rotor bead we are able to measure the torsional rigidity of DNA, and find a value ~ 50% higher than the value accepted from bulk experiments. Next we directly measure the change in DNA helical twist when the molecule is stretched. In contrast to both simple physical intuition and previous fitting of experimental data, we find that DNA overwinds when stretched. Finally, we use the rotor bead technique to study the mechanochemical cycle of DNA gyrase, the molecular machine that is responsible for introducing essential negative supercoils into the bacterial genome.