The variation of gravity and its application to the measurement of weight

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Gravimeters, Gravitation, Weight Measurement, Accuracy, Calibrating

Scientific paper

It is noted that the measurement of the weight of a stationary object on the surface of the earth is the measurement of a force. This force is the sum of the gravitational attractions of the earth, moon and sun and the centrifugal force caused by the rotation of the earth. Because the acceleration of gravity varies over the earth, the weight of an object also varies from place to place. The variations in the acceleration of gravity due to changes in height above sea level and to changes in latitude can be expressed by simple formulas. The magnitude of these variations is slightly less than 1 percent of the total gravitational acceleration over the surface of the earth and about 0.2 percent over the contiguous United States. Variations due to other causes are smaller but may be significant in high-precision measurements. Variations due to lunar and solar tides may be calculated or derived; they may amount to about 0.003 percent of the total acceleration. Variations due to mass density changes within the earth's crust are among the factors that cannot be calculated from theory alone. Equipment used for precise weight measurement and moved after being calibrated may be in error by a significant amount.

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