Abstract: A toroidal liquid filled sensor measures rotation with respect to vertical in any plane normal to the earth's surface and comprises a sealed, non-conductive, hollow toroidal housing of square or rectangular cross section with an interior circular cavity or channel of like cross section. A discontinuous resistive strip circles the interior surface of the channel outer wall and a continuous conductive strip or collector circles the exterior surface of the channel inner wall. Electrical contacts are connected to each end of the resistive strip and a third contact is connected to the collector. The channel contains a quantity of dielectric or resistive fluid which has total volume less than a 30.degree. sector of the channel. Electrical damping (R-C time constant) is achieved by balancing the capacitance and resistance parameters. A single sensor has a linear range greater than 270.degree.. The combination of two sensors allows measurement of full 360.degree.