Evangelista Torricelli
1608-1647
Torricelli's Theorem
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The speed, v, of a fluid through a hole in the bottom of a tank filled to a depth h is the same as the speed that a bodywould acquire in falling freely from a height h, i.e. v = (2gh)1/2.
In 1632, shortly after the publication of
Galileo's Dialogues of the New Science, Torricelli wrote
to Galileo of reading it "with the delight [...] of one who, having already
practiced all of geometry most diligently [...] and having studied
Ptolemy and seen almost everything of
Tycho [Brahe],
Kepler and
Longomontanus, finally, forced by the many congruences, came to
adhere to
Copernicus, and was a Galileian in profession and sect". (The
Vatican condemned Galileo in June 1633, and this was the only known occasion
on which Torricelli openly declared himself to hold the Copernican view.)
Torricelli's chief invention was the mercury barometer, which arose from
solving an important practical problem. Pumpmakers of the Grand Duke of
Tuscany attempted to raise water to a height of 12 meters or more, but found
that 10 meters was the limit to which it would rise in the suction pump.
Torricelli thought to employ
mercury, fourteen times as heavy as water. In 1643 he created a
tube c. 1 meter long, sealed at the top end, filled it with mercury, and set
it vertically into a basin of mercury. The column of mercury fell to about
76cm, leaving a Torricellian vacuum above. As we now know, the column's
height fluctuated with changing
atmospheric pressure; this was the first barometer. This
discovery has perpetuated his fame, and the
Torr, a unit of pressure commonly used in
vacuum measurements, was named in his honor. |
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