Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy

View transcription
                                <u>36</u>34. The next correction is that for the density of the atmosphere.
If we adopt Sir George Shuckburgh's elements (which are
abundantly accurate for this purpose), the barometer-reading
being B (expressed in English inches) at the temperature
t<sup>o</sup> of Fahrenheit, its readings at <s>[?]</s> temperature 53<sup>o</sup>
would be B/29.27 (29.27 - (t-53) x 0.002615) =
B(1-(t-53) x 0.0000896). The proportion of the
weight of air in this state to that of air at
barometer-reading 29.27 in, thermometer 53<sup>o</sup>, (Sir George
Shuckburgh's standard elements) will be
B(1- (t-53) x 0.0000896)/29.27 x (1 + 53-t/480)
= B/29.27 (1-(t-53) x 0.002173) = B/29.27 (1.006519-(t-50) x 0.002173).
With the elements 29.27 in and 53<sup>o</sup>, the weight of air is
1/936 that of water; and, with Kater's specific gravity
8.469, <s>[?]</s> the weight of air is 1/836 x 1/8.469 that
of the pendulum; the effect of this <s>[?]</s> on the
vibrations of the pendulum, adopting Colonel Sabine's
factor 1.6-55 of the statical buoyancy, will be to
diminish them by the part [B x 1.655]/[1672 x 8.469 x 29.27] x(1.006529 - (t-50) x 0.002173)
                            
Please login to transcribe

Manuscript details

Author
George Biddell Airy
Reference
PT/54/5
Series
PT
Date
1855
IIIF
Open IIIF manifest
(What's this?)
This is a link to the IIIF web URL for this item. You can drag and drop the IIIF image link into other compatible viewers

Cite as

Account of pendulum experiments undertaken in the Harton Colliery, for the purpose of determining the mean density of the earth, by G. B. Airy, 1855. From The Royal Society, PT/54/5

Copy

Comments

Please login to comment