The Absolute Determination of Gravity at the National Physical Laboratory

Metrologia ◽  
1969 ◽  
Vol 5 (4) ◽  
pp. 141-142 ◽  
Author(s):  
A H Cook ◽  
J A Hammond

1. Introductory .—Recently at the National Physical Laboratory we have constructed a standard of mutual inductance of novel type, whose value has been accurately calculated from the dimensions. This inductance has formed the basis for the determination of the unit of resistance in absolute measure by two different methods, in both of which alternating current is employed. Although there is no doubt that the accuracy attainable by these methods could be increased by greater elaboration of the apparatus used, the results already obtained seem to be of sufficient interest to warrant publication. It should be mentioned that the accuracy here aimed at was of a considerably lower order than that contemplated in the determination of the ohm by the Lorenz apparatus which is at present being carried out in the laboratory. For the experiments here described, no apparatus was specially constructed, but use was made of instruments which had already been designed and set up for the measurement of inductance and capacity. I shall first give a brief description of the standard inductance and then pass on to the methods and results. 2. Standard Mutual Inductance .—The design of the mutual inductance has already been described. The electrical circuits have the form and arrange­ment shown in section in fig. 1.


A new absolute determination of the acceleration due to gravity at the National Physical Laboratory has been made by timing the symmetrical free motion of a body moving under the attraction of gravity; it is the first time this method has been used. The moving body was a glass ball and it was timed at its passage across two horizontal planes by the flashes of light that it produced when it passed between two horizontal slits which served to define each plane optically, the ball focusing light from one of the slits, which was illuminated, upon the other slit which had a photomultiplier placed behind it. The separation of the two planes defined by the pairs of slits was measured interferometrically and referred directly to the international wavelength definition of the metre, while the time intervals were measured in terms of the atomic unit of time scale A l. The value of gravity as reduced to the British Fundamental Gravity Station in the N. P. L. is 981 181.75 mgal, s.d. 0.13 mgal (1 mgal = 10 -5 m/s 2 ). Systematic errors, are believed to be very small; this is particularly true of the error due to air resistance. The main contribution to the observed scatter of the results comes from microseismic disturbances. The new result is 1.4 mgal less than that obtained at the fundamental station by J. S. Clark (1939) using a reversible pendulum . It is very close to the mean of a number of recent absolute determinations by other methods, but this may not be very significant because the uncertainties of those determinations and of the comparisons between the sites at which they were made and the present site are not less than 5 times the standard deviation of the new result.


The new method for the absolute determination of acoustical frequencies described in this paper possesses several useful features. Among these are: ( a ) the rapidity with which very accurate results may be obtained by its use, ( b ) its practical convenience and simplicity, ( c ) the inexpensiveness of the apparatus required, and ( d ) its availability for use with any of the standards of time ordinarily available in a physical laboratory, i. e ., a “seconds” or “half-seconds” pendulum clock, a “half-seconds” chronometer, or even merely a good stop-watch. The method is the outcome of an investigation undertaken at my suggestion by Mr. Dey, and its value has been proved in an extensive series of tests carried out by him. The principle on which the method is based is that of the maintenance of oscillations of sub-synchronous frequency by a periodic field of force, and is applied in practice in the following manner:— A pendulum formed of an iron rod 0.5 cm. diameter hangs vertically from a simple wire-hook suspension. A brass bob slides on the pendulum and is capable of being fixed in any desired position. The length of the pendulum is either 35 cm. or 100 cm., so that with the bob in a suitable position the free period of oscillation is roughly either one second or two seconds as desired.


The values of gravity at these stations have been compared by means of pendulum observations with Invar invariable pendulums. The observed differences of gravity from the National Physical Laboratory are: B. I. P. M. -256·73 ± 0·49 mgal P. T. B. + 68·68 ± 0·49 mgal Bad Harzburg - 15·68 ± 0·49 mgal The accuracy of the measurements is not so great as has been achieved once or twice previously with the same apparatus, mainly because the changes in the lengths of the pendulums were greater than usual. These differences have been combined with German pendulum observations and with gravimeter comparisons with the following results: Value of gravity at N. P. L. on the Potsdam system: 981196·29 ± 0·3 mgal. Differences between sites of absolute determinations of gravity: N. P. L. - B. I. P. M. +256·45 ± 0·3 mgal N. P. L. - P. T. B. - 68·98 ± 0·3 mgal P. T. B. - Potsdam - 8·95 ± 0·4 mgal ( g at Potsdam = 981274 mgal.) The effects of these results on gravity surveys based on Cambridge and on the absolute value of gravity are indicated.


2017 ◽  
Vol 146 ◽  
pp. 266-272 ◽  
Author(s):  
Kaito Shibata ◽  
Takafumi Naito ◽  
Jun Okamura ◽  
Seiji Hosokawa ◽  
Hiroyuki Mineta ◽  
...  

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