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