Bernoulli, Daniel, Hydrodynamica, sive De viribus et motibus fluidorum commentarii

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250236HYDRODYNAMICÆ locitati qua globus exploditur, ex data vi elaſtica auræ globum ejicientis, ita
viciſſim patet, ex obſervata illa altitudine vim auræ elaſticam deduci poſſe,
eſt enim
n = α:
(b P log. {a/b}).
Exinde poterit vis elaſtica pulveris pyrii ſi non accurate definiri, ſaltem
ad terminos reduci, quos certe ſuperabit.
At quæres, qui altitudo a expe-
rimento determinari poſſit;
ad quod reſpondeo, poſſe eam ſat accurate col-
ligi ex tempore, quod globus verticaliter ſurſum ejectus ab exploſionis pun@
cto inſumit, dum in terram delabitur habita in calculo aëris reſiſtentiæ ratio-
ne.
Transſcribam huc experimenta in comm. Acad. Petrop. tom. 2. p. p. 338 &
339 recenſita, quorum calculum inſtitui factis, ratione aëris reſiſtentiæ hy-
potheſibus, gravitates ſpecificas ferri &
aëris eſſe ut 7650 ad 1 & aërem, in
quo globus aſcendit, uniformis eſſe denfitatis:
gravitatum ſpecificarum ratio
paullo major aſſumta fuiſſe videtur quam debebat, ſed compenſabitur in al-
tiſſimis jactibus error à diminutione aëris denſitatum verſus ſuperiora.
„Tormenti ſitus omni accuratione ad perpendiculum erat accommo-
datus &
ſingulis vicibus in hunc ſitum reponebatur atque firmabatur: ſin-
gula experimenta fuerunt repetita:
Erat autem longitudo animæ 7, 7. ped.
angl. diameter globi erat 0, 2375 ped. diameter animæ menſurata non fuit
neque magnitudo luminis accenſorii:
qualibet vice ponderabatur quantitas
pulveris pyrii adhibiti &
pendulo definiebatur tempus à puncto exploſionis
ad punctum, quo globus in terram cecidit:
tabula ſequens exhibet, tum
quæ obſervata, tum quæ calculo inde eruta fuerunt.
11
quant. pulv. \\ pyr. numero \\ unciar. holl. \\ expreſſ. # tempus aſc. \\ & deſcens. in \\ min. ſec. ob-\\ ſerv. # altit. jactus \\ in aëre reſiſt, \\ per calculum \\ in ped. Angl. # temp. aſc. in \\ aëre reſiſt. \\ per calculum \\ in min. ſec. # temp. deſc. in \\ aëre reſiſt. \\ per calculum \\ in min. ſec. # altit. jactus in \\ vacuo per \\ calculum in \\ ped. Angl. # temp. aſcenſ. \\ & deſc. in va- \\ cuo per calc. \\ in min. ſec.
I # II # III # IV # V # VI # VII
{1/2} # 11 # 486 # 5, 42 # 5, 58 # 541 # 11, 6
2 # 34 # 4550 # 14, 37 # 19, 63 # 13694 # 58
4 # 45 # 7819 # 16, 84 # 28, 16 # 58750 # 121

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