A flow angle probe is provided having (a) a probe flap for contacting a moving fluid within a fluid conduit; (b) a probe body mechanically coupled to the probe flap; (c) a force sensor disposed within the probe body and operationally coupled to the probe flap; and optionally (d) a probe shaft coupled to the probe body. A deflection of the probe flap caused by contact with the moving fluid produces a corresponding force sensor signal output which is minimized by rotation of the probe flap. The angle between this point of minimum deflection and a reference position is taken to be the flow angle of the moving fluid in the vicinity of the probe flap. The novel flow angle probes disclosed herein may be used in a wide variety of turbomachines and fluid processing systems, and applications, including turbomachine design and operational control, and in flow assurance.