What is the effect of rotation about the Z axis (vertical axis) on tilt readings?
In some antenna applications our tiltmeters experience rotations about the Z axis (vertical axis). Here is what happens in these situations: Theoretically, a rotation around the Z axis has no effect on tilt sensor output if the sensor is centered on the axis. However, when the sensor is offset from the Z axis, it detects centripetal accelerations created by the rotation. The tilt sensor responds to a horizontal acceleration parallel to its sensing direction. In the case of rotation around the Z axis, this is the centripetal acceleration, a = (V*V)/R, which is directed radially away from the Z axis. In this equation V is the tangential velocity and R is the radius. V = 2 pi f R, where f is the frequency of rotation. If f = 1/minute = 0.0167/second and R = 10mm, then V = 1.05 mm/sec and a = 0.110 mm/(sec*sec). Because the acceleration of gravity G is 9800 mm/(sec*sec), the centripetal acceleration in this case is 0.110/9800 = 0.0000112 G. As shown in our technical note at http://www.geom
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