A fiber optic pressure sensor for measuring unsteady pressures within a pipe include at least one optical fiber disposed circumferentially around a portion of a circumference of the pipe, which provides an optical signal indicative of the length of the optical fiber. An optical instrument measures the change in length of the optical fiber to determine the unsteady pressure within the pipe. The pressure sensor may include a plurality of optical fiber sections disposed circumferentially around a portion of the circumference of the pipe that are optically connected together by optical fiber sections disposed axially along the pipe. The optical fiber sections may include fiber Bragg gratings having substantially the same or different reflection wavelengths to permit for example the sensors to be axially distributed along the fiber using wavelength division multiplexing and/or time division multiplexing.