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

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                                In the small term multiplied by t-50, we may consider B/29.27 =
26/25. Then the diminution of the number of vibrations will be
[B x 1.655 x 1.006519/1672 x 8.469 x 29.27] - (t-50). [0.00226 x 1.655/1672 x 8.469]
or B x 0.000004019 - (t-50) x 0.00000026.
In order to <s>[?]</s> correct the number of vibrations observed, so as
to produce the number of vibrations which would take
place in vacuum, we must multiply the number
observed by
1 + B x 000004019 - (t-50) x 0.00000026

<s>37</s>35. Combining this factor with the factor depending
on the <s>[?]</s> temperature of the pendulum, or 1 + (t-50) x 0.00000501,
the complete factor is
1 + B x 0.000004019 + (t-50) x 0.00000475
or (1+B x 0.000004019) x (1 + (t-50) x 0.00000475).
The logarithms of these factors <s>[?]</s>
are B x 0.0000017453 and (t-50) x 0.000002063.
The following tables will suffice for the examination
of the corrections in the succeeding Section.
                            
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Manuscript details

Author
George Biddell Airy
Reference
PT/54/5
Series
PT
Date
1855
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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

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