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We have investigated the two methods, double-weighing in air and hydrostatic weighing, for the determination of the volume of weights in the range from 5 kg down to 1 g. We present the mathematical equations of both methods and show that Monte-Carlo simulation is a suitable way to determine the measurement uncertainties and overcome the difficulties in dealing with correlated variables. We found that the measurement uncertainties of the two methods are comparable and that double-weighing in air is an efficient method for determining the volume of weights below 1 kg.

acta imeko

Volume determination of weights in the range from 1 g to 5 kg: a comparison of hydrostatic weighing and double-weighing in air using Monte-Carlo simulation