A Course of Mechanical, Magnetical, Optical, Hydrostatical and Pneumatical Experiments: perform'd by Francis Hauksbee, and the Explanatory Lectures read by William Whiston, M.A.Whiston, William
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A Course of Mechanical, Magnetical, Optical, Hydrostatical and Pneumatical Experiments: perform'd by Francis Hauksbee, and the Explanatory Lectures read by William Whiston, M.A.
Whiston, William
Physical instruments; Physics -- Early works to 1800; Physics -- Experiments
_Fig. 3_, and _4_. Are Vessels of equal Altitude, but unequal Bases, and
of the same Quantity of Water; to shew that Fluids ever press according to
their Bases, if their perpendicular Height be equal; and according to
their perpendicular Height, if their Bases be equal, whatever Figure they
are of.
_Fig. 5._ Is a cubical Vessel full of Water, in order to compute the
entire Quantity of the Pressure its Sides and Bottom sustain. And that the
Bottom alone sustains the whole Weight of the Water; as is most evident.
_Fig. 6._ Is to shew that each Side of the same Vessel sustains a Pressure
equal to half the Weight of the same Water. For since the Pressure at
every point, as L, M, N, C, is equal to the Altitude of the Water above
it, A L, A M, A N, A C, by erecting equal Perpendiculars L O, M P, N Q,
C D, and so at all the intermediate Points, and summing them up, we shall
have the Triangle A C D as the Sum of all the Pressures; which being half
the Square A C D B, made by as many Perpendiculars equal to the longest
C D, and bearing the whole Weight of the Square over it A C D B, shews
that the Pressure on every physical Line, as A C of a triangular Prism,
and so on the whole Side represented by it, is one half of the whole
Water. So that since each of the four Sides sustain half, and the Bottom
the whole Weight notwithstanding, the entire Pressure is three times the
Weight.
_Fig. 7._ Is a like Method of Computation for an inclined Plain's
Pressure, and how to estimate it; _viz._ by the Weight of Water equal to
the Prism represented by the Triangle A R C, where the Lines L O, M P,
N Q, C R, are erected perpendicular to A C, and equal to L G, M T, N V,
C X, respectively.
_Fig. 8._ Is to determine the Center of Pressure Z against such a Plain;
at which if an equal Weight W directly pulls along Z P over the Pulley P,
it will just balance the Water, and evenly sustain its Pressure.
_Fig. 9._ Is to shew that this Center of Pressure is no other than the
Center of Percussion or Oscillation about an Axis, as D. For the Pressures
being as the Perpendiculars E A, F B, G C; and the Percussions, as D A,
D B, D C, the Radij of the Circles of Motion; and E A being to F B, as D A
to D B; and F B to G C, as D B to D C: The Percussions are still as the
Pressures; and so the Center of Percussion, the same with the Center of
Pressure.
_Fig. 10._ Is for the Computation of the Quantity and Center of the
Pressure on any erect Rectangle under Water; according to that Rule, that
the Depth of any Bodies or Surfaces Center of Gravity is to be taken for
the perpendicular Altitude of all the Pressures, as a Mean between them.
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