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The Gaussian gravitational constant used in space dynamics is a defined constant and the Cavendish experiment can be considered as a measurement of this constant. In Cavendish's time, physicists used the same units for mass and weight, in effect taking g as a standard acceleration.
Based on this, Hutton's 1778 result is equivalent to G ≈ 8 × 10 −11 m 3 ⋅kg −1 ⋅s −2. Diagram of torsion balance used in the Cavendish experiment performed by Henry Cavendish in 1798, to measure G, with the help of a pulley, large balls hung from a frame were rotated into position next to the small balls.
The value of the constant G was first accurately determined from the results of the Cavendish experiment conducted by the British scientist Henry Cavendish in 1798, although Cavendish did not himself calculate a numerical value for G. [5] This experiment was also the first test of Newton's theory of gravitation between masses in the laboratory.
Books often describe Cavendish's work as a measurement of either G or the Earth's mass. Since these are related to the Earth's density by a trivial web of algebraic relations, none of these sources are wrong, but they do not match the exact word choice of Cavendish, [23] [24] and this mistake has been pointed out by several authors.
Figure 5–9. (A) Cavendish experiment, (B) Kreuzer experiment. The classic experiment to measure the strength of a gravitational source (i.e. its active mass) was first conducted in 1797 by Henry Cavendish (Fig. 5-9a). Two small but dense balls are suspended on a fine wire, making a torsion balance. Bringing two large test masses close to the ...
The gravity g′ at depth d is given by g′ = g(1 − d/R) where g is acceleration due to gravity on the surface of the Earth, d is depth and R is the radius of the Earth. If the density decreased linearly with increasing radius from a density ρ 0 at the center to ρ 1 at the surface, then ρ(r) = ρ 0 − (ρ 0 − ρ 1) r / R, and the ...
Measure G would expand the L.A. County Board of Supervisors to nine members from its current five: from left, Janice Hahn, Hilda Solis, Lindsey Horvath, Kathryn Barger and Holly Mitchell.
Cavendish's figure of 5,448 ± 33 kg·m −3 was only 1.2% from the currently accepted value of 5,515 kg·m −3, and his result would not be significantly improved upon until 1895 by Charles Boys. [c] The care with which Cavendish conducted the experiment and the accuracy of his result has led his name to since be associated with it. [21]