A tension sensor is placed within a fluid bearing supporting a flexible tape at least partially wrapped around the periphery thereof. The bearing includes a source of pressurized fluid, such as air, and a plurality of metered orifii for admitting fluid into the region of the periphery to support the tape on a fluid bearing. The sensor includes a chamber and at least two metered orifice means, one in communication with the region of pressurized fluid supporting the tape and the other in communication with the source of pressurized fluid. A pressure sensor senses the pressure within the chamber, the pressure being directly proportional to the tension in the tape.