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The uncertainty relation, which displays an elementary property of quantum theory, was originally described by Heisenberg as the relation between error and disturbance. Ozawa presented a more rigorous expression of the uncertainty relation, which was later verified experimentally. Nevertheless, the operators corresponding to error and disturbance should be measurable in the identical state if we follow the presupposition of Heisenberg’s thought experiment. In this letter, we discuss simultaneous measurability of error and disturbance and present a new inequality using error and disturbance in the identical state. A testable example of this inequality is also suggested.
In this study, we focused on the lift generation with a thin
rotating plate. The objective of this study is to understand the appropriate
shape and the role of vortex for rotating thin plate. We determined the shape
of the plate through free-flight tests of paper strips and investigated the
aerodynamic characteristics of the rotating plate with the selected shape. The
rectangular plate with an aspect ratio 7 was relevant from moment of inertia
and bending stress. An endplate on a wing tip increased the stability on the
lateral vortex structure behind the rotating plate. Velocity field measurement
by Particle Image Velocimetry (PIV) showed that the lift force was generated
twice in a rotating cycle.