Development of Gravity Pendulums in the 19th Century: Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966Multhauf, Robert P.
History
Development of Gravity Pendulums in the 19th Century: Contributions from the Museum of History and Technology, Papers 34-44 On Science and Technology, Smithsonian Institution, 1966
Multhauf, Robert P.
Pendulum
Mersenne in 1644 made the first determination of the length of the
seconds pendulum,[3] that is, the length of a simple pendulum that beats
seconds (half-period in the sense of physics). Subsequently, he proposed
the problem to determine the length of the simple pendulum equivalent in
period to a given compound pendulum. This problem was solved by Huygens,
who in his famous work _Horologium oscillatorium_ ... (1673) set forth
the theory of the compound pendulum.[4]
Huygens derived a theorem which has provided the basis for the
employment of the reversible compound pendulum for the absolute
determination of the intensity of gravity. The theorem is that a given
compound pendulum possesses conjugate points on opposite sides of the
center of gravity; about these points, the periods of oscillation are
the same. For each of these points as center of suspension the other
point is the center of oscillation, and the distance between them is the
length of the equivalent simple pendulum. Earlier, in 1657, Huygens
independently had invented and patented the pendulum clock, which
rapidly came into use for the measurement of time. Huygens also created
the theory of centripetal force which made it possible to calculate the
effect of the rotation of the earth upon the observed value of gravity.
The theory of the gravity field of the earth was founded upon the laws
of motion and the law of gravitation by Isaac Newton in his famous
_Principia_ (1687). It follows from the Newtonian theory of gravitation
that the acceleration of gravity as determined on the surface of the
earth is the resultant of two factors: the principal factor is the
gravitational attraction of the earth upon bodies, and the subsidiary
factor is the effect of the rotation of the earth. A body at rest on the
surface of the earth requires some of the gravitational attraction for
the centripetal acceleration of the body as it is carried in a circle
with constant speed by the rotation of the earth about its axis. If the
rotating earth is used as a frame of reference, the effect of the
rotation is expressed as a centrifugal force which acts to diminish the
observed intensity of gravity.
* * * * *
GLOSSARY OF GRAVITY TERMINOLOGY
ABSOLUTE GRAVITY: the value of the acceleration of gravity, also
expressed by the length of the seconds pendulum.
RELATIVE GRAVITY: the value of the acceleration of gravity relative to
the value at some standard point.
SIMPLE PENDULUM: see theoretical pendulum.
THEORETICAL PENDULUM: a heavy bob (point-mass) at the end of a
weightless rod.
SECONDS PENDULUM: a theoretical or simple pendulum of such length that
its time of swing (half-period) is one second. (This length is about one
meter.)
GRAVITY PENDULUM: a precisely made pendulum used for the measurement of
gravity.
COMPOUND PENDULUM: a pendulum in which the supporting rod is not
weightless; in other words, any actual pendulum.
Public-domain text, read in full here on John Shaqi.
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