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Lines of resolution (LOR) describes the number of lines of information that appear in the spectrum (FFT) acquired by the vibration data collector.  LOR can be calculated by dividing the overall frequency range collected (Fmax) by the number of lines selected.   
LOR represent the amount of detail in the collected data.  Without sufficient detail in the collected data, multiple peaks may merge together.  This may prevent the correct identification of machinery faults and lead to false conclusions.  It is very important that the correct LOR and sensors (accelerometers) be selected for the specific equipment being monitored

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, by Trent Phillips