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Suppose I established a coordinate system and took some position vs. time measurements on the object that has the accelerometer attached to it. Further suppose that, from that data, I determined the acceleration of the object, call it r double dot, relative to the established coordinate system.
I understand r double dot to be the what NIST calls "the local acceleration of free fall in that reference frame."
Is the NIST definition of weight just how hard and which way I would have to
push on the object to make its accelerometer reading be r double dot?